What is the Least Common Multiple of 94656 and 94674?

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 94656 and 94674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94656 and 94674, than apply into the LCM equation.

GCF(94656,94674) = 6
LCM(94656,94674) = ( 94656 × 94674) / 6
LCM(94656,94674) = 8961462144 / 6
LCM(94656,94674) = 1493577024

Least Common Multiple (LCM) of 94656 and 94674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94656 and 94674. First we will calculate the prime factors of 94656 and 94674.

Prime Factorization of 94656

Prime Factorization of 94674

Now multiplying the highest exponent prime factors to calculate the LCM of 94656 and 94674.

LCM(94656,94674) = 2⁶ × 3¹ × 17¹ × 29¹ × 31¹ × 509¹
LCM(94656,94674) = 1493577024