What is the Least Common Multiple of 94976 and 94984?

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 94976 and 94984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94976 and 94984, than apply into the LCM equation.

GCF(94976,94984) = 8
LCM(94976,94984) = ( 94976 × 94984) / 8
LCM(94976,94984) = 9021200384 / 8
LCM(94976,94984) = 1127650048

Least Common Multiple (LCM) of 94976 and 94984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94976 and 94984. First we will calculate the prime factors of 94976 and 94984.

Prime Factorization of 94976

Prime Factorization of 94984

Now multiplying the highest exponent prime factors to calculate the LCM of 94976 and 94984.

LCM(94976,94984) = 2⁸ × 7¹ × 53¹ × 31¹ × 383¹
LCM(94976,94984) = 1127650048