What is the Least Common Multiple of 10629 and 10635?

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 10629 and 10635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10629 and 10635, than apply into the LCM equation.

GCF(10629,10635) = 3
LCM(10629,10635) = ( 10629 × 10635) / 3
LCM(10629,10635) = 113039415 / 3
LCM(10629,10635) = 37679805

Least Common Multiple (LCM) of 10629 and 10635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10629 and 10635. First we will calculate the prime factors of 10629 and 10635.

Prime Factorization of 10629

Prime Factorization of 10635

Now multiplying the highest exponent prime factors to calculate the LCM of 10629 and 10635.

LCM(10629,10635) = 3² × 1181¹ × 5¹ × 709¹
LCM(10629,10635) = 37679805