What is the Least Common Multiple of 76656 and 76674?

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 76656 and 76674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76656 and 76674, than apply into the LCM equation.

GCF(76656,76674) = 6
LCM(76656,76674) = ( 76656 × 76674) / 6
LCM(76656,76674) = 5877522144 / 6
LCM(76656,76674) = 979587024

Least Common Multiple (LCM) of 76656 and 76674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76656 and 76674. First we will calculate the prime factors of 76656 and 76674.

Prime Factorization of 76656

Prime Factorization of 76674

Now multiplying the highest exponent prime factors to calculate the LCM of 76656 and 76674.

LCM(76656,76674) = 2⁴ × 3¹ × 1597¹ × 13¹ × 983¹
LCM(76656,76674) = 979587024