What is the Least Common Multiple of 91128 and 91132?

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 91128 and 91132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91128 and 91132, than apply into the LCM equation.

GCF(91128,91132) = 4
LCM(91128,91132) = ( 91128 × 91132) / 4
LCM(91128,91132) = 8304676896 / 4
LCM(91128,91132) = 2076169224

Least Common Multiple (LCM) of 91128 and 91132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91128 and 91132. First we will calculate the prime factors of 91128 and 91132.

Prime Factorization of 91128

Prime Factorization of 91132

Now multiplying the highest exponent prime factors to calculate the LCM of 91128 and 91132.

LCM(91128,91132) = 2³ × 3¹ × 3797¹ × 22783¹
LCM(91128,91132) = 2076169224