What is the Least Common Multiple of 94976 and 94980?

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 94980 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 94980, than apply into the LCM equation.

GCF(94976,94980) = 4
LCM(94976,94980) = ( 94976 × 94980) / 4
LCM(94976,94980) = 9020820480 / 4
LCM(94976,94980) = 2255205120

Least Common Multiple (LCM) of 94976 and 94980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94976 and 94980. First we will calculate the prime factors of 94976 and 94980.

Prime Factorization of 94976

Prime Factorization of 94980

Now multiplying the highest exponent prime factors to calculate the LCM of 94976 and 94980.

LCM(94976,94980) = 2⁸ × 7¹ × 53¹ × 3¹ × 5¹ × 1583¹
LCM(94976,94980) = 2255205120