What is the Least Common Multiple of 94528 and 94532?

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 94528 and 94532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94528 and 94532, than apply into the LCM equation.

GCF(94528,94532) = 4
LCM(94528,94532) = ( 94528 × 94532) / 4
LCM(94528,94532) = 8935920896 / 4
LCM(94528,94532) = 2233980224

Least Common Multiple (LCM) of 94528 and 94532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94528 and 94532. First we will calculate the prime factors of 94528 and 94532.

Prime Factorization of 94528

Prime Factorization of 94532

Now multiplying the highest exponent prime factors to calculate the LCM of 94528 and 94532.

LCM(94528,94532) = 2⁶ × 7¹ × 211¹ × 23633¹
LCM(94528,94532) = 2233980224