What is the Least Common Multiple of 106 and 111?
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 106 and 111 is 11766.
LCM(106,111) = 11766
Least Common Multiple of 106 and 111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 106 and 111, than apply into the LCM equation.
GCF(106,111) = 1
LCM(106,111) = ( 106 × 111) / 1
LCM(106,111) = 11766 / 1
LCM(106,111) = 11766
Least Common Multiple (LCM) of 106 and 111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 106 and 111. First we will calculate the prime factors of 106 and 111.
Prime Factorization of 106
Prime factors of 106 are 2, 53. Prime factorization of 106 in exponential form is:
106 = 21 × 531
Prime Factorization of 111
Prime factors of 111 are 3, 37. Prime factorization of 111 in exponential form is:
111 = 31 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 106 and 111.
LCM(106,111) = 21 × 531 × 31 × 371
LCM(106,111) = 11766
Related Least Common Multiples of 106
- LCM of 106 and 110
- LCM of 106 and 111
- LCM of 106 and 112
- LCM of 106 and 113
- LCM of 106 and 114
- LCM of 106 and 115
- LCM of 106 and 116
- LCM of 106 and 117
- LCM of 106 and 118
- LCM of 106 and 119
- LCM of 106 and 120
- LCM of 106 and 121
- LCM of 106 and 122
- LCM of 106 and 123
- LCM of 106 and 124
- LCM of 106 and 125
- LCM of 106 and 126
Related Least Common Multiples of 111
- LCM of 111 and 115
- LCM of 111 and 116
- LCM of 111 and 117
- LCM of 111 and 118
- LCM of 111 and 119
- LCM of 111 and 120
- LCM of 111 and 121
- LCM of 111 and 122
- LCM of 111 and 123
- LCM of 111 and 124
- LCM of 111 and 125
- LCM of 111 and 126
- LCM of 111 and 127
- LCM of 111 and 128
- LCM of 111 and 129
- LCM of 111 and 130
- LCM of 111 and 131