What is the Least Common Multiple of 94528 and 94541?

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 94541 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 94541, than apply into the LCM equation.

GCF(94528,94541) = 1
LCM(94528,94541) = ( 94528 × 94541) / 1
LCM(94528,94541) = 8936771648 / 1
LCM(94528,94541) = 8936771648

Least Common Multiple (LCM) of 94528 and 94541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94528 and 94541. First we will calculate the prime factors of 94528 and 94541.

Prime Factorization of 94528

Prime Factorization of 94541

Now multiplying the highest exponent prime factors to calculate the LCM of 94528 and 94541.

LCM(94528,94541) = 2⁶ × 7¹ × 211¹ × 94541¹
LCM(94528,94541) = 8936771648