What is the Least Common Multiple of 76872 and 76889?

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 76872 and 76889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76872 and 76889, than apply into the LCM equation.

GCF(76872,76889) = 1
LCM(76872,76889) = ( 76872 × 76889) / 1
LCM(76872,76889) = 5910611208 / 1
LCM(76872,76889) = 5910611208

Least Common Multiple (LCM) of 76872 and 76889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76872 and 76889. First we will calculate the prime factors of 76872 and 76889.

Prime Factorization of 76872

Prime Factorization of 76889

Now multiplying the highest exponent prime factors to calculate the LCM of 76872 and 76889.

LCM(76872,76889) = 2³ × 3¹ × 3203¹ × 23¹ × 3343¹
LCM(76872,76889) = 5910611208