What is the Least Common Multiple of 26872 and 26877?

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 26872 and 26877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26872 and 26877, than apply into the LCM equation.

GCF(26872,26877) = 1
LCM(26872,26877) = ( 26872 × 26877) / 1
LCM(26872,26877) = 722238744 / 1
LCM(26872,26877) = 722238744

Least Common Multiple (LCM) of 26872 and 26877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26872 and 26877. First we will calculate the prime factors of 26872 and 26877.

Prime Factorization of 26872

Prime Factorization of 26877

Now multiplying the highest exponent prime factors to calculate the LCM of 26872 and 26877.

LCM(26872,26877) = 2³ × 3359¹ × 3¹ × 17² × 31¹
LCM(26872,26877) = 722238744