What is the Least Common Multiple of 91624 and 91640?

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 91624 and 91640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91624 and 91640, than apply into the LCM equation.

GCF(91624,91640) = 8
LCM(91624,91640) = ( 91624 × 91640) / 8
LCM(91624,91640) = 8396423360 / 8
LCM(91624,91640) = 1049552920

Least Common Multiple (LCM) of 91624 and 91640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91624 and 91640. First we will calculate the prime factors of 91624 and 91640.

Prime Factorization of 91624

Prime Factorization of 91640

Now multiplying the highest exponent prime factors to calculate the LCM of 91624 and 91640.

LCM(91624,91640) = 2³ × 13¹ × 881¹ × 5¹ × 29¹ × 79¹
LCM(91624,91640) = 1049552920