What is the Least Common Multiple of 25524 and 25533?

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 25524 and 25533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25524 and 25533, than apply into the LCM equation.

GCF(25524,25533) = 9
LCM(25524,25533) = ( 25524 × 25533) / 9
LCM(25524,25533) = 651704292 / 9
LCM(25524,25533) = 72411588

Least Common Multiple (LCM) of 25524 and 25533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25524 and 25533. First we will calculate the prime factors of 25524 and 25533.

Prime Factorization of 25524

Prime Factorization of 25533

Now multiplying the highest exponent prime factors to calculate the LCM of 25524 and 25533.

LCM(25524,25533) = 2² × 3² × 709¹ × 2837¹
LCM(25524,25533) = 72411588