What is the Least Common Multiple of 25082 and 25088?

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 25082 and 25088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25082 and 25088, than apply into the LCM equation.

GCF(25082,25088) = 2
LCM(25082,25088) = ( 25082 × 25088) / 2
LCM(25082,25088) = 629257216 / 2
LCM(25082,25088) = 314628608

Least Common Multiple (LCM) of 25082 and 25088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25082 and 25088. First we will calculate the prime factors of 25082 and 25088.

Prime Factorization of 25082

Prime Factorization of 25088

Now multiplying the highest exponent prime factors to calculate the LCM of 25082 and 25088.

LCM(25082,25088) = 2⁹ × 12541¹ × 7²
LCM(25082,25088) = 314628608