What is the Least Common Multiple of 24872 and 24886?

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 24872 and 24886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24872 and 24886, than apply into the LCM equation.

GCF(24872,24886) = 2
LCM(24872,24886) = ( 24872 × 24886) / 2
LCM(24872,24886) = 618964592 / 2
LCM(24872,24886) = 309482296

Least Common Multiple (LCM) of 24872 and 24886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24872 and 24886. First we will calculate the prime factors of 24872 and 24886.

Prime Factorization of 24872

Prime Factorization of 24886

Now multiplying the highest exponent prime factors to calculate the LCM of 24872 and 24886.

LCM(24872,24886) = 2³ × 3109¹ × 23¹ × 541¹
LCM(24872,24886) = 309482296