What is the Least Common Multiple of 94674 and 94684?

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 94674 and 94684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94674 and 94684, than apply into the LCM equation.

GCF(94674,94684) = 2
LCM(94674,94684) = ( 94674 × 94684) / 2
LCM(94674,94684) = 8964113016 / 2
LCM(94674,94684) = 4482056508

Least Common Multiple (LCM) of 94674 and 94684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94674 and 94684. First we will calculate the prime factors of 94674 and 94684.

Prime Factorization of 94674

Prime Factorization of 94684

Now multiplying the highest exponent prime factors to calculate the LCM of 94674 and 94684.

LCM(94674,94684) = 2² × 3¹ × 31¹ × 509¹ × 23671¹
LCM(94674,94684) = 4482056508