What is the Least Common Multiple of 35708 and 35724?

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 35708 and 35724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35708 and 35724, than apply into the LCM equation.

GCF(35708,35724) = 4
LCM(35708,35724) = ( 35708 × 35724) / 4
LCM(35708,35724) = 1275632592 / 4
LCM(35708,35724) = 318908148

Least Common Multiple (LCM) of 35708 and 35724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35708 and 35724. First we will calculate the prime factors of 35708 and 35724.

Prime Factorization of 35708

Prime Factorization of 35724

Now multiplying the highest exponent prime factors to calculate the LCM of 35708 and 35724.

LCM(35708,35724) = 2² × 79¹ × 113¹ × 3¹ × 13¹ × 229¹
LCM(35708,35724) = 318908148