What is the Least Common Multiple of 94620 and 94632?

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 94620 and 94632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94620 and 94632, than apply into the LCM equation.

GCF(94620,94632) = 12
LCM(94620,94632) = ( 94620 × 94632) / 12
LCM(94620,94632) = 8954079840 / 12
LCM(94620,94632) = 746173320

Least Common Multiple (LCM) of 94620 and 94632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94620 and 94632. First we will calculate the prime factors of 94620 and 94632.

Prime Factorization of 94620

Prime Factorization of 94632

Now multiplying the highest exponent prime factors to calculate the LCM of 94620 and 94632.

LCM(94620,94632) = 2³ × 3¹ × 5¹ × 19¹ × 83¹ × 3943¹
LCM(94620,94632) = 746173320