What is the Least Common Multiple of 25539 and 25551?

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 25539 and 25551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25539 and 25551, than apply into the LCM equation.

GCF(25539,25551) = 3
LCM(25539,25551) = ( 25539 × 25551) / 3
LCM(25539,25551) = 652546989 / 3
LCM(25539,25551) = 217515663

Least Common Multiple (LCM) of 25539 and 25551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25539 and 25551. First we will calculate the prime factors of 25539 and 25551.

Prime Factorization of 25539

Prime Factorization of 25551

Now multiplying the highest exponent prime factors to calculate the LCM of 25539 and 25551.

LCM(25539,25551) = 3² × 8513¹ × 17¹ × 167¹
LCM(25539,25551) = 217515663