What is the Least Common Multiple of 87598 and 87611?
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 87598 and 87611 is 7674548378.
LCM(87598,87611) = 7674548378
Least Common Multiple of 87598 and 87611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87598 and 87611, than apply into the LCM equation.
GCF(87598,87611) = 1
LCM(87598,87611) = ( 87598 × 87611) / 1
LCM(87598,87611) = 7674548378 / 1
LCM(87598,87611) = 7674548378
Least Common Multiple (LCM) of 87598 and 87611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87598 and 87611. First we will calculate the prime factors of 87598 and 87611.
Prime Factorization of 87598
Prime factors of 87598 are 2, 7, 6257. Prime factorization of 87598 in exponential form is:
87598 = 21 × 71 × 62571
Prime Factorization of 87611
Prime factors of 87611 are 79, 1109. Prime factorization of 87611 in exponential form is:
87611 = 791 × 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 87598 and 87611.
LCM(87598,87611) = 21 × 71 × 62571 × 791 × 11091
LCM(87598,87611) = 7674548378
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