What is the Least Common Multiple of 99735 and 99741?

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 99735 and 99741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99735 and 99741, than apply into the LCM equation.

GCF(99735,99741) = 3
LCM(99735,99741) = ( 99735 × 99741) / 3
LCM(99735,99741) = 9947668635 / 3
LCM(99735,99741) = 3315889545

Least Common Multiple (LCM) of 99735 and 99741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99735 and 99741. First we will calculate the prime factors of 99735 and 99741.

Prime Factorization of 99735

Prime Factorization of 99741

Now multiplying the highest exponent prime factors to calculate the LCM of 99735 and 99741.

LCM(99735,99741) = 3¹ × 5¹ × 61¹ × 109¹ × 33247¹
LCM(99735,99741) = 3315889545