What is the Least Common Multiple of 25440 and 25458?

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 25440 and 25458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25440 and 25458, than apply into the LCM equation.

GCF(25440,25458) = 6
LCM(25440,25458) = ( 25440 × 25458) / 6
LCM(25440,25458) = 647651520 / 6
LCM(25440,25458) = 107941920

Least Common Multiple (LCM) of 25440 and 25458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25440 and 25458. First we will calculate the prime factors of 25440 and 25458.

Prime Factorization of 25440

Prime Factorization of 25458

Now multiplying the highest exponent prime factors to calculate the LCM of 25440 and 25458.

LCM(25440,25458) = 2⁵ × 3¹ × 5¹ × 53¹ × 4243¹
LCM(25440,25458) = 107941920