What is the Least Common Multiple of 91512 and 91520?

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 91512 and 91520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91512 and 91520, than apply into the LCM equation.

GCF(91512,91520) = 8
LCM(91512,91520) = ( 91512 × 91520) / 8
LCM(91512,91520) = 8375178240 / 8
LCM(91512,91520) = 1046897280

Least Common Multiple (LCM) of 91512 and 91520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91512 and 91520. First we will calculate the prime factors of 91512 and 91520.

Prime Factorization of 91512

Prime Factorization of 91520

Now multiplying the highest exponent prime factors to calculate the LCM of 91512 and 91520.

LCM(91512,91520) = 2⁷ × 3² × 31¹ × 41¹ × 5¹ × 11¹ × 13¹
LCM(91512,91520) = 1046897280