What is the Least Common Multiple of 26872 and 26878?

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 26878 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 26878, than apply into the LCM equation.

GCF(26872,26878) = 2
LCM(26872,26878) = ( 26872 × 26878) / 2
LCM(26872,26878) = 722265616 / 2
LCM(26872,26878) = 361132808

Least Common Multiple (LCM) of 26872 and 26878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26872 and 26878. First we will calculate the prime factors of 26872 and 26878.

Prime Factorization of 26872

Prime Factorization of 26878

Now multiplying the highest exponent prime factors to calculate the LCM of 26872 and 26878.

LCM(26872,26878) = 2³ × 3359¹ × 89¹ × 151¹
LCM(26872,26878) = 361132808