What is the Least Common Multiple of 35724 and 35732?

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 35724 and 35732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35724 and 35732, than apply into the LCM equation.

GCF(35724,35732) = 4
LCM(35724,35732) = ( 35724 × 35732) / 4
LCM(35724,35732) = 1276489968 / 4
LCM(35724,35732) = 319122492

Least Common Multiple (LCM) of 35724 and 35732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35724 and 35732. First we will calculate the prime factors of 35724 and 35732.

Prime Factorization of 35724

Prime Factorization of 35732

Now multiplying the highest exponent prime factors to calculate the LCM of 35724 and 35732.

LCM(35724,35732) = 2² × 3¹ × 13¹ × 229¹ × 8933¹
LCM(35724,35732) = 319122492