What is the Least Common Multiple of 82656 and 82674?

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 82656 and 82674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82656 and 82674, than apply into the LCM equation.

GCF(82656,82674) = 18
LCM(82656,82674) = ( 82656 × 82674) / 18
LCM(82656,82674) = 6833502144 / 18
LCM(82656,82674) = 379639008

Least Common Multiple (LCM) of 82656 and 82674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82656 and 82674. First we will calculate the prime factors of 82656 and 82674.

Prime Factorization of 82656

Prime Factorization of 82674

Now multiplying the highest exponent prime factors to calculate the LCM of 82656 and 82674.

LCM(82656,82674) = 2⁵ × 3³ × 7¹ × 41¹ × 1531¹
LCM(82656,82674) = 379639008