What is the Least Common Multiple of 99872 and 99886?

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 99886 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 99886, than apply into the LCM equation.

GCF(99872,99886) = 2
LCM(99872,99886) = ( 99872 × 99886) / 2
LCM(99872,99886) = 9975814592 / 2
LCM(99872,99886) = 4987907296

Least Common Multiple (LCM) of 99872 and 99886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99872 and 99886. First we will calculate the prime factors of 99872 and 99886.

Prime Factorization of 99872

Prime Factorization of 99886

Now multiplying the highest exponent prime factors to calculate the LCM of 99872 and 99886.

LCM(99872,99886) = 2⁵ × 3121¹ × 49943¹
LCM(99872,99886) = 4987907296