What is the Least Common Multiple of 14872 and 14877?

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 14872 and 14877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14872 and 14877, than apply into the LCM equation.

GCF(14872,14877) = 1
LCM(14872,14877) = ( 14872 × 14877) / 1
LCM(14872,14877) = 221250744 / 1
LCM(14872,14877) = 221250744

Least Common Multiple (LCM) of 14872 and 14877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14872 and 14877. First we will calculate the prime factors of 14872 and 14877.

Prime Factorization of 14872

Prime Factorization of 14877

Now multiplying the highest exponent prime factors to calculate the LCM of 14872 and 14877.

LCM(14872,14877) = 2³ × 11¹ × 13² × 3³ × 19¹ × 29¹
LCM(14872,14877) = 221250744