What is the Least Common Multiple of 99672 and 99690?

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 99672 and 99690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99672 and 99690, than apply into the LCM equation.

GCF(99672,99690) = 6
LCM(99672,99690) = ( 99672 × 99690) / 6
LCM(99672,99690) = 9936301680 / 6
LCM(99672,99690) = 1656050280

Least Common Multiple (LCM) of 99672 and 99690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99672 and 99690. First we will calculate the prime factors of 99672 and 99690.

Prime Factorization of 99672

Prime Factorization of 99690

Now multiplying the highest exponent prime factors to calculate the LCM of 99672 and 99690.

LCM(99672,99690) = 2³ × 3¹ × 4153¹ × 5¹ × 3323¹
LCM(99672,99690) = 1656050280