What is the Least Common Multiple of 52659 and 52669?

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 52659 and 52669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52659 and 52669, than apply into the LCM equation.

GCF(52659,52669) = 1
LCM(52659,52669) = ( 52659 × 52669) / 1
LCM(52659,52669) = 2773496871 / 1
LCM(52659,52669) = 2773496871

Least Common Multiple (LCM) of 52659 and 52669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52659 and 52669. First we will calculate the prime factors of 52659 and 52669.

Prime Factorization of 52659

Prime Factorization of 52669

Now multiplying the highest exponent prime factors to calculate the LCM of 52659 and 52669.

LCM(52659,52669) = 3² × 5851¹ × 31¹ × 1699¹
LCM(52659,52669) = 2773496871