What is the Least Common Multiple of 25398 and 25412?

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 25398 and 25412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25398 and 25412, than apply into the LCM equation.

GCF(25398,25412) = 2
LCM(25398,25412) = ( 25398 × 25412) / 2
LCM(25398,25412) = 645413976 / 2
LCM(25398,25412) = 322706988

Least Common Multiple (LCM) of 25398 and 25412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25398 and 25412. First we will calculate the prime factors of 25398 and 25412.

Prime Factorization of 25398

Prime Factorization of 25412

Now multiplying the highest exponent prime factors to calculate the LCM of 25398 and 25412.

LCM(25398,25412) = 2² × 3² × 17¹ × 83¹ × 6353¹
LCM(25398,25412) = 322706988