What is the Least Common Multiple of 94239 and 94257?

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 94257 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 94257, than apply into the LCM equation.

GCF(94239,94257) = 9
LCM(94239,94257) = ( 94239 × 94257) / 9
LCM(94239,94257) = 8882685423 / 9
LCM(94239,94257) = 986965047

Least Common Multiple (LCM) of 94239 and 94257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94239 and 94257. First we will calculate the prime factors of 94239 and 94257.

Prime Factorization of 94239

Prime Factorization of 94257

Now multiplying the highest exponent prime factors to calculate the LCM of 94239 and 94257.

LCM(94239,94257) = 3³ × 37¹ × 283¹ × 3491¹
LCM(94239,94257) = 986965047