What is the Least Common Multiple of 91119 and 91128?

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 91119 and 91128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91119 and 91128, than apply into the LCM equation.

GCF(91119,91128) = 3
LCM(91119,91128) = ( 91119 × 91128) / 3
LCM(91119,91128) = 8303492232 / 3
LCM(91119,91128) = 2767830744

Least Common Multiple (LCM) of 91119 and 91128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91119 and 91128. First we will calculate the prime factors of 91119 and 91128.

Prime Factorization of 91119

Prime Factorization of 91128

Now multiplying the highest exponent prime factors to calculate the LCM of 91119 and 91128.

LCM(91119,91128) = 3¹ × 7¹ × 4339¹ × 2³ × 3797¹
LCM(91119,91128) = 2767830744