What is the Least Common Multiple of 94440 and 94448?

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 94440 and 94448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94440 and 94448, than apply into the LCM equation.

GCF(94440,94448) = 8
LCM(94440,94448) = ( 94440 × 94448) / 8
LCM(94440,94448) = 8919669120 / 8
LCM(94440,94448) = 1114958640

Least Common Multiple (LCM) of 94440 and 94448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94440 and 94448. First we will calculate the prime factors of 94440 and 94448.

Prime Factorization of 94440

Prime Factorization of 94448

Now multiplying the highest exponent prime factors to calculate the LCM of 94440 and 94448.

LCM(94440,94448) = 2⁴ × 3¹ × 5¹ × 787¹ × 5903¹
LCM(94440,94448) = 1114958640