What is the Least Common Multiple of 61656 and 61674?

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 61656 and 61674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61656 and 61674, than apply into the LCM equation.

GCF(61656,61674) = 6
LCM(61656,61674) = ( 61656 × 61674) / 6
LCM(61656,61674) = 3802572144 / 6
LCM(61656,61674) = 633762024

Least Common Multiple (LCM) of 61656 and 61674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61656 and 61674. First we will calculate the prime factors of 61656 and 61674.

Prime Factorization of 61656

Prime Factorization of 61674

Now multiplying the highest exponent prime factors to calculate the LCM of 61656 and 61674.

LCM(61656,61674) = 2³ × 3¹ × 7¹ × 367¹ × 19¹ × 541¹
LCM(61656,61674) = 633762024