What is the Least Common Multiple of 1580 and 7110?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 1580 and 7110 is 14220.
LCM(1580,7110) = 14220
Least Common Multiple of 1580 and 7110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1580 and 7110, than apply into the LCM equation.
GCF(1580,7110) = 790
LCM(1580,7110) = ( 1580 × 7110) / 790
LCM(1580,7110) = 11233800 / 790
LCM(1580,7110) = 14220
Least Common Multiple (LCM) of 1580 and 7110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1580 and 7110. First we will calculate the prime factors of 1580 and 7110.
Prime Factorization of 1580
Prime factors of 1580 are 2, 5, 79. Prime factorization of 1580 in exponential form is:
1580 = 22 × 51 × 791
Prime Factorization of 7110
Prime factors of 7110 are 2, 3, 5, 79. Prime factorization of 7110 in exponential form is:
7110 = 21 × 32 × 51 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 1580 and 7110.
LCM(1580,7110) = 22 × 51 × 791 × 32
LCM(1580,7110) = 14220
Related Least Common Multiples of 1580
- LCM of 1580 and 1584
- LCM of 1580 and 1585
- LCM of 1580 and 1586
- LCM of 1580 and 1587
- LCM of 1580 and 1588
- LCM of 1580 and 1589
- LCM of 1580 and 1590
- LCM of 1580 and 1591
- LCM of 1580 and 1592
- LCM of 1580 and 1593
- LCM of 1580 and 1594
- LCM of 1580 and 1595
- LCM of 1580 and 1596
- LCM of 1580 and 1597
- LCM of 1580 and 1598
- LCM of 1580 and 1599
- LCM of 1580 and 1600
Related Least Common Multiples of 7110
- LCM of 7110 and 7114
- LCM of 7110 and 7115
- LCM of 7110 and 7116
- LCM of 7110 and 7117
- LCM of 7110 and 7118
- LCM of 7110 and 7119
- LCM of 7110 and 7120
- LCM of 7110 and 7121
- LCM of 7110 and 7122
- LCM of 7110 and 7123
- LCM of 7110 and 7124
- LCM of 7110 and 7125
- LCM of 7110 and 7126
- LCM of 7110 and 7127
- LCM of 7110 and 7128
- LCM of 7110 and 7129
- LCM of 7110 and 7130