What is the Least Common Multiple of 94239 and 94252?

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 94239 and 94252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94239 and 94252, than apply into the LCM equation.

GCF(94239,94252) = 1
LCM(94239,94252) = ( 94239 × 94252) / 1
LCM(94239,94252) = 8882214228 / 1
LCM(94239,94252) = 8882214228

Least Common Multiple (LCM) of 94239 and 94252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94239 and 94252. First we will calculate the prime factors of 94239 and 94252.

Prime Factorization of 94239

Prime Factorization of 94252

Now multiplying the highest exponent prime factors to calculate the LCM of 94239 and 94252.

LCM(94239,94252) = 3² × 37¹ × 283¹ × 2² × 23563¹
LCM(94239,94252) = 8882214228