What is the Least Common Multiple of 99648 and 99664?

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 99648 and 99664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99648 and 99664, than apply into the LCM equation.

GCF(99648,99664) = 16
LCM(99648,99664) = ( 99648 × 99664) / 16
LCM(99648,99664) = 9931318272 / 16
LCM(99648,99664) = 620707392

Least Common Multiple (LCM) of 99648 and 99664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99648 and 99664. First we will calculate the prime factors of 99648 and 99664.

Prime Factorization of 99648

Prime Factorization of 99664

Now multiplying the highest exponent prime factors to calculate the LCM of 99648 and 99664.

LCM(99648,99664) = 2⁶ × 3² × 173¹ × 6229¹
LCM(99648,99664) = 620707392