What is the Least Common Multiple of 35138 and 35152?

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 35138 and 35152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35138 and 35152, than apply into the LCM equation.

GCF(35138,35152) = 2
LCM(35138,35152) = ( 35138 × 35152) / 2
LCM(35138,35152) = 1235170976 / 2
LCM(35138,35152) = 617585488

Least Common Multiple (LCM) of 35138 and 35152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35138 and 35152. First we will calculate the prime factors of 35138 and 35152.

Prime Factorization of 35138

Prime Factorization of 35152

Now multiplying the highest exponent prime factors to calculate the LCM of 35138 and 35152.

LCM(35138,35152) = 2⁴ × 17569¹ × 13³
LCM(35138,35152) = 617585488