What is the Least Common Multiple of 91609 and 91624?

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 91609 and 91624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91609 and 91624, than apply into the LCM equation.

GCF(91609,91624) = 1
LCM(91609,91624) = ( 91609 × 91624) / 1
LCM(91609,91624) = 8393583016 / 1
LCM(91609,91624) = 8393583016

Least Common Multiple (LCM) of 91609 and 91624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91609 and 91624. First we will calculate the prime factors of 91609 and 91624.

Prime Factorization of 91609

Prime Factorization of 91624

Now multiplying the highest exponent prime factors to calculate the LCM of 91609 and 91624.

LCM(91609,91624) = 7¹ × 23¹ × 569¹ × 2³ × 13¹ × 881¹
LCM(91609,91624) = 8393583016