What is the Least Common Multiple of 25224 and 25239?

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 25224 and 25239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25224 and 25239, than apply into the LCM equation.

GCF(25224,25239) = 3
LCM(25224,25239) = ( 25224 × 25239) / 3
LCM(25224,25239) = 636628536 / 3
LCM(25224,25239) = 212209512

Least Common Multiple (LCM) of 25224 and 25239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25224 and 25239. First we will calculate the prime factors of 25224 and 25239.

Prime Factorization of 25224

Prime Factorization of 25239

Now multiplying the highest exponent prime factors to calculate the LCM of 25224 and 25239.

LCM(25224,25239) = 2³ × 3¹ × 1051¹ × 47¹ × 179¹
LCM(25224,25239) = 212209512