What is the Least Common Multiple of 11672 and 11687?

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 of 11672 and 11687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11672 and 11687, than apply into the LCM equation.

GCF(11672,11687) = 1
LCM(11672,11687) = ( 11672 × 11687) / 1
LCM(11672,11687) = 136410664 / 1
LCM(11672,11687) = 136410664

Least Common Multiple (LCM) of 11672 and 11687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11672 and 11687. First we will calculate the prime factors of 11672 and 11687.

Prime Factorization of 11672

Prime Factorization of 11687

Now multiplying the highest exponent prime factors to calculate the LCM of 11672 and 11687.

LCM(11672,11687) = 2³ × 1459¹ × 13¹ × 29¹ × 31¹
LCM(11672,11687) = 136410664