What is the Least Common Multiple of 30516 and 30525?

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 30516 and 30525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30516 and 30525, than apply into the LCM equation.

GCF(30516,30525) = 3
LCM(30516,30525) = ( 30516 × 30525) / 3
LCM(30516,30525) = 931500900 / 3
LCM(30516,30525) = 310500300

Least Common Multiple (LCM) of 30516 and 30525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30516 and 30525. First we will calculate the prime factors of 30516 and 30525.

Prime Factorization of 30516

Prime Factorization of 30525

Now multiplying the highest exponent prime factors to calculate the LCM of 30516 and 30525.

LCM(30516,30525) = 2² × 3¹ × 2543¹ × 5² × 11¹ × 37¹
LCM(30516,30525) = 310500300