What is the Least Common Multiple of 25452 and 25472?

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 25452 and 25472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25452 and 25472, than apply into the LCM equation.

GCF(25452,25472) = 4
LCM(25452,25472) = ( 25452 × 25472) / 4
LCM(25452,25472) = 648313344 / 4
LCM(25452,25472) = 162078336

Least Common Multiple (LCM) of 25452 and 25472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25452 and 25472. First we will calculate the prime factors of 25452 and 25472.

Prime Factorization of 25452

Prime Factorization of 25472

Now multiplying the highest exponent prime factors to calculate the LCM of 25452 and 25472.

LCM(25452,25472) = 2⁷ × 3² × 7¹ × 101¹ × 199¹
LCM(25452,25472) = 162078336