What is the Least Common Multiple of 99735 and 99744?

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 99744 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 99744, than apply into the LCM equation.

GCF(99735,99744) = 3
LCM(99735,99744) = ( 99735 × 99744) / 3
LCM(99735,99744) = 9947967840 / 3
LCM(99735,99744) = 3315989280

Least Common Multiple (LCM) of 99735 and 99744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99735 and 99744. First we will calculate the prime factors of 99735 and 99744.

Prime Factorization of 99735

Prime Factorization of 99744

Now multiplying the highest exponent prime factors to calculate the LCM of 99735 and 99744.

LCM(99735,99744) = 3¹ × 5¹ × 61¹ × 109¹ × 2⁵ × 1039¹
LCM(99735,99744) = 3315989280