What is the Least Common Multiple of 93960 and 93972?

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 93960 and 93972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93960 and 93972, than apply into the LCM equation.

GCF(93960,93972) = 12
LCM(93960,93972) = ( 93960 × 93972) / 12
LCM(93960,93972) = 8829609120 / 12
LCM(93960,93972) = 735800760

Least Common Multiple (LCM) of 93960 and 93972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93960 and 93972. First we will calculate the prime factors of 93960 and 93972.

Prime Factorization of 93960

Prime Factorization of 93972

Now multiplying the highest exponent prime factors to calculate the LCM of 93960 and 93972.

LCM(93960,93972) = 2³ × 3⁴ × 5¹ × 29¹ × 41¹ × 191¹
LCM(93960,93972) = 735800760