What is the Least Common Multiple of 52575 and 52584?

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 52575 and 52584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52575 and 52584, than apply into the LCM equation.

GCF(52575,52584) = 3
LCM(52575,52584) = ( 52575 × 52584) / 3
LCM(52575,52584) = 2764603800 / 3
LCM(52575,52584) = 921534600

Least Common Multiple (LCM) of 52575 and 52584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52575 and 52584. First we will calculate the prime factors of 52575 and 52584.

Prime Factorization of 52575

Prime Factorization of 52584

Now multiplying the highest exponent prime factors to calculate the LCM of 52575 and 52584.

LCM(52575,52584) = 3¹ × 5² × 701¹ × 2³ × 7¹ × 313¹
LCM(52575,52584) = 921534600