What is the Least Common Multiple of 94272 and 94278?

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 94272 and 94278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94272 and 94278, than apply into the LCM equation.

GCF(94272,94278) = 6
LCM(94272,94278) = ( 94272 × 94278) / 6
LCM(94272,94278) = 8887775616 / 6
LCM(94272,94278) = 1481295936

Least Common Multiple (LCM) of 94272 and 94278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94272 and 94278. First we will calculate the prime factors of 94272 and 94278.

Prime Factorization of 94272

Prime Factorization of 94278

Now multiplying the highest exponent prime factors to calculate the LCM of 94272 and 94278.

LCM(94272,94278) = 2⁶ × 3¹ × 491¹ × 19¹ × 827¹
LCM(94272,94278) = 1481295936