What is the Least Common Multiple of 94632 and 94650?

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 94632 and 94650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94632 and 94650, than apply into the LCM equation.

GCF(94632,94650) = 6
LCM(94632,94650) = ( 94632 × 94650) / 6
LCM(94632,94650) = 8956918800 / 6
LCM(94632,94650) = 1492819800

Least Common Multiple (LCM) of 94632 and 94650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94632 and 94650. First we will calculate the prime factors of 94632 and 94650.

Prime Factorization of 94632

Prime Factorization of 94650

Now multiplying the highest exponent prime factors to calculate the LCM of 94632 and 94650.

LCM(94632,94650) = 2³ × 3¹ × 3943¹ × 5² × 631¹
LCM(94632,94650) = 1492819800