What is the Least Common Multiple of 25509 and 25524?

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 25509 and 25524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25509 and 25524, than apply into the LCM equation.

GCF(25509,25524) = 3
LCM(25509,25524) = ( 25509 × 25524) / 3
LCM(25509,25524) = 651091716 / 3
LCM(25509,25524) = 217030572

Least Common Multiple (LCM) of 25509 and 25524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25509 and 25524. First we will calculate the prime factors of 25509 and 25524.

Prime Factorization of 25509

Prime Factorization of 25524

Now multiplying the highest exponent prime factors to calculate the LCM of 25509 and 25524.

LCM(25509,25524) = 3² × 11¹ × 773¹ × 2² × 709¹
LCM(25509,25524) = 217030572