What is the Least Common Multiple of 57615 and 57634?

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 57615 and 57634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57615 and 57634, than apply into the LCM equation.

GCF(57615,57634) = 1
LCM(57615,57634) = ( 57615 × 57634) / 1
LCM(57615,57634) = 3320582910 / 1
LCM(57615,57634) = 3320582910

Least Common Multiple (LCM) of 57615 and 57634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57615 and 57634. First we will calculate the prime factors of 57615 and 57634.

Prime Factorization of 57615

Prime Factorization of 57634

Now multiplying the highest exponent prime factors to calculate the LCM of 57615 and 57634.

LCM(57615,57634) = 3¹ × 5¹ × 23¹ × 167¹ × 2¹ × 28817¹
LCM(57615,57634) = 3320582910