What is the Least Common Multiple of 25208 and 25224?

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 25208 and 25224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25208 and 25224, than apply into the LCM equation.

GCF(25208,25224) = 8
LCM(25208,25224) = ( 25208 × 25224) / 8
LCM(25208,25224) = 635846592 / 8
LCM(25208,25224) = 79480824

Least Common Multiple (LCM) of 25208 and 25224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25208 and 25224. First we will calculate the prime factors of 25208 and 25224.

Prime Factorization of 25208

Prime Factorization of 25224

Now multiplying the highest exponent prime factors to calculate the LCM of 25208 and 25224.

LCM(25208,25224) = 2³ × 23¹ × 137¹ × 3¹ × 1051¹
LCM(25208,25224) = 79480824