What is the Least Common Multiple of 24525 and 24540?

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 24525 and 24540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24525 and 24540, than apply into the LCM equation.

GCF(24525,24540) = 15
LCM(24525,24540) = ( 24525 × 24540) / 15
LCM(24525,24540) = 601843500 / 15
LCM(24525,24540) = 40122900

Least Common Multiple (LCM) of 24525 and 24540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24525 and 24540. First we will calculate the prime factors of 24525 and 24540.

Prime Factorization of 24525

Prime Factorization of 24540

Now multiplying the highest exponent prime factors to calculate the LCM of 24525 and 24540.

LCM(24525,24540) = 3² × 5² × 109¹ × 2² × 409¹
LCM(24525,24540) = 40122900