What is the Least Common Multiple of 94224 and 94239?

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 94224 and 94239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94224 and 94239, than apply into the LCM equation.

GCF(94224,94239) = 3
LCM(94224,94239) = ( 94224 × 94239) / 3
LCM(94224,94239) = 8879575536 / 3
LCM(94224,94239) = 2959858512

Least Common Multiple (LCM) of 94224 and 94239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94224 and 94239. First we will calculate the prime factors of 94224 and 94239.

Prime Factorization of 94224

Prime Factorization of 94239

Now multiplying the highest exponent prime factors to calculate the LCM of 94224 and 94239.

LCM(94224,94239) = 2⁴ × 3² × 13¹ × 151¹ × 37¹ × 283¹
LCM(94224,94239) = 2959858512