What is the Least Common Multiple of 35659 and 35676?

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 35659 and 35676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35659 and 35676, than apply into the LCM equation.

GCF(35659,35676) = 1
LCM(35659,35676) = ( 35659 × 35676) / 1
LCM(35659,35676) = 1272170484 / 1
LCM(35659,35676) = 1272170484

Least Common Multiple (LCM) of 35659 and 35676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35659 and 35676. First we will calculate the prime factors of 35659 and 35676.

Prime Factorization of 35659

Prime Factorization of 35676

Now multiplying the highest exponent prime factors to calculate the LCM of 35659 and 35676.

LCM(35659,35676) = 13² × 211¹ × 2² × 3² × 991¹
LCM(35659,35676) = 1272170484