What is the Least Common Multiple of 57615 and 57624?

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 57624 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 57624, than apply into the LCM equation.

GCF(57615,57624) = 3
LCM(57615,57624) = ( 57615 × 57624) / 3
LCM(57615,57624) = 3320006760 / 3
LCM(57615,57624) = 1106668920

Least Common Multiple (LCM) of 57615 and 57624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57615 and 57624. First we will calculate the prime factors of 57615 and 57624.

Prime Factorization of 57615

Prime Factorization of 57624

Now multiplying the highest exponent prime factors to calculate the LCM of 57615 and 57624.

LCM(57615,57624) = 3¹ × 5¹ × 23¹ × 167¹ × 2³ × 7⁴
LCM(57615,57624) = 1106668920