What is the Least Common Multiple of 24519 and 24525?

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 24519 and 24525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24519 and 24525, than apply into the LCM equation.

GCF(24519,24525) = 3
LCM(24519,24525) = ( 24519 × 24525) / 3
LCM(24519,24525) = 601328475 / 3
LCM(24519,24525) = 200442825

Least Common Multiple (LCM) of 24519 and 24525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24519 and 24525. First we will calculate the prime factors of 24519 and 24525.

Prime Factorization of 24519

Prime Factorization of 24525

Now multiplying the highest exponent prime factors to calculate the LCM of 24519 and 24525.

LCM(24519,24525) = 3² × 11¹ × 743¹ × 5² × 109¹
LCM(24519,24525) = 200442825