What is the Least Common Multiple of 34872 and 34879?

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 34872 and 34879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34872 and 34879, than apply into the LCM equation.

GCF(34872,34879) = 1
LCM(34872,34879) = ( 34872 × 34879) / 1
LCM(34872,34879) = 1216300488 / 1
LCM(34872,34879) = 1216300488

Least Common Multiple (LCM) of 34872 and 34879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34872 and 34879. First we will calculate the prime factors of 34872 and 34879.

Prime Factorization of 34872

Prime Factorization of 34879

Now multiplying the highest exponent prime factors to calculate the LCM of 34872 and 34879.

LCM(34872,34879) = 2³ × 3¹ × 1453¹ × 13¹ × 2683¹
LCM(34872,34879) = 1216300488