What is the Least Common Multiple of 94956 and 94972?

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 94956 and 94972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94956 and 94972, than apply into the LCM equation.

GCF(94956,94972) = 4
LCM(94956,94972) = ( 94956 × 94972) / 4
LCM(94956,94972) = 9018161232 / 4
LCM(94956,94972) = 2254540308

Least Common Multiple (LCM) of 94956 and 94972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94956 and 94972. First we will calculate the prime factors of 94956 and 94972.

Prime Factorization of 94956

Prime Factorization of 94972

Now multiplying the highest exponent prime factors to calculate the LCM of 94956 and 94972.

LCM(94956,94972) = 2² × 3¹ × 41¹ × 193¹ × 23743¹
LCM(94956,94972) = 2254540308