What is the Least Common Multiple of 25239 and 25251?

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 25239 and 25251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25239 and 25251, than apply into the LCM equation.

GCF(25239,25251) = 3
LCM(25239,25251) = ( 25239 × 25251) / 3
LCM(25239,25251) = 637309989 / 3
LCM(25239,25251) = 212436663

Least Common Multiple (LCM) of 25239 and 25251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25239 and 25251. First we will calculate the prime factors of 25239 and 25251.

Prime Factorization of 25239

Prime Factorization of 25251

Now multiplying the highest exponent prime factors to calculate the LCM of 25239 and 25251.

LCM(25239,25251) = 3¹ × 47¹ × 179¹ × 19¹ × 443¹
LCM(25239,25251) = 212436663