What is the Least Common Multiple of 86656 and 86674?

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 86656 and 86674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86656 and 86674, than apply into the LCM equation.

GCF(86656,86674) = 2
LCM(86656,86674) = ( 86656 × 86674) / 2
LCM(86656,86674) = 7510822144 / 2
LCM(86656,86674) = 3755411072

Least Common Multiple (LCM) of 86656 and 86674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86656 and 86674. First we will calculate the prime factors of 86656 and 86674.

Prime Factorization of 86656

Prime Factorization of 86674

Now multiplying the highest exponent prime factors to calculate the LCM of 86656 and 86674.

LCM(86656,86674) = 2⁷ × 677¹ × 7¹ × 41¹ × 151¹
LCM(86656,86674) = 3755411072