What is the Least Common Multiple of 99660 and 99678?

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 99660 and 99678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99660 and 99678, than apply into the LCM equation.

GCF(99660,99678) = 6
LCM(99660,99678) = ( 99660 × 99678) / 6
LCM(99660,99678) = 9933909480 / 6
LCM(99660,99678) = 1655651580

Least Common Multiple (LCM) of 99660 and 99678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99660 and 99678. First we will calculate the prime factors of 99660 and 99678.

Prime Factorization of 99660

Prime Factorization of 99678

Now multiplying the highest exponent prime factors to calculate the LCM of 99660 and 99678.

LCM(99660,99678) = 2² × 3¹ × 5¹ × 11¹ × 151¹ × 37¹ × 449¹
LCM(99660,99678) = 1655651580