What is the Least Common Multiple of 52563 and 52575?

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 52563 and 52575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52563 and 52575, than apply into the LCM equation.

GCF(52563,52575) = 3
LCM(52563,52575) = ( 52563 × 52575) / 3
LCM(52563,52575) = 2763499725 / 3
LCM(52563,52575) = 921166575

Least Common Multiple (LCM) of 52563 and 52575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52563 and 52575. First we will calculate the prime factors of 52563 and 52575.

Prime Factorization of 52563

Prime Factorization of 52575

Now multiplying the highest exponent prime factors to calculate the LCM of 52563 and 52575.

LCM(52563,52575) = 3¹ × 7¹ × 2503¹ × 5² × 701¹
LCM(52563,52575) = 921166575