What is the Least Common Multiple of 92976 and 92988?

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 92976 and 92988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92976 and 92988, than apply into the LCM equation.

GCF(92976,92988) = 12
LCM(92976,92988) = ( 92976 × 92988) / 12
LCM(92976,92988) = 8645652288 / 12
LCM(92976,92988) = 720471024

Least Common Multiple (LCM) of 92976 and 92988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92976 and 92988. First we will calculate the prime factors of 92976 and 92988.

Prime Factorization of 92976

Prime Factorization of 92988

Now multiplying the highest exponent prime factors to calculate the LCM of 92976 and 92988.

LCM(92976,92988) = 2⁴ × 3⁴ × 13¹ × 149¹ × 7¹ × 41¹
LCM(92976,92988) = 720471024