What is the Least Common Multiple of 57504 and 57515?

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 57504 and 57515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57504 and 57515, than apply into the LCM equation.

GCF(57504,57515) = 1
LCM(57504,57515) = ( 57504 × 57515) / 1
LCM(57504,57515) = 3307342560 / 1
LCM(57504,57515) = 3307342560

Least Common Multiple (LCM) of 57504 and 57515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57504 and 57515. First we will calculate the prime factors of 57504 and 57515.

Prime Factorization of 57504

Prime Factorization of 57515

Now multiplying the highest exponent prime factors to calculate the LCM of 57504 and 57515.

LCM(57504,57515) = 2⁵ × 3¹ × 599¹ × 5¹ × 11503¹
LCM(57504,57515) = 3307342560