What is the Least Common Multiple of 99872 and 99879?

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 99872 and 99879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99872 and 99879, than apply into the LCM equation.

GCF(99872,99879) = 1
LCM(99872,99879) = ( 99872 × 99879) / 1
LCM(99872,99879) = 9975115488 / 1
LCM(99872,99879) = 9975115488

Least Common Multiple (LCM) of 99872 and 99879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99872 and 99879. First we will calculate the prime factors of 99872 and 99879.

Prime Factorization of 99872

Prime Factorization of 99879

Now multiplying the highest exponent prime factors to calculate the LCM of 99872 and 99879.

LCM(99872,99879) = 2⁵ × 3121¹ × 3¹ × 13² × 197¹
LCM(99872,99879) = 9975115488