What is the Least Common Multiple of 91128 and 91135?

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 91135 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 91135, than apply into the LCM equation.

GCF(91128,91135) = 1
LCM(91128,91135) = ( 91128 × 91135) / 1
LCM(91128,91135) = 8304950280 / 1
LCM(91128,91135) = 8304950280

Least Common Multiple (LCM) of 91128 and 91135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91128 and 91135. First we will calculate the prime factors of 91128 and 91135.

Prime Factorization of 91128

Prime Factorization of 91135

Now multiplying the highest exponent prime factors to calculate the LCM of 91128 and 91135.

LCM(91128,91135) = 2³ × 3¹ × 3797¹ × 5¹ × 11¹ × 1657¹
LCM(91128,91135) = 8304950280