What is the Least Common Multiple of 25074 and 25084?

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 25074 and 25084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25074 and 25084, than apply into the LCM equation.

GCF(25074,25084) = 2
LCM(25074,25084) = ( 25074 × 25084) / 2
LCM(25074,25084) = 628956216 / 2
LCM(25074,25084) = 314478108

Least Common Multiple (LCM) of 25074 and 25084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25074 and 25084. First we will calculate the prime factors of 25074 and 25084.

Prime Factorization of 25074

Prime Factorization of 25084

Now multiplying the highest exponent prime factors to calculate the LCM of 25074 and 25084.

LCM(25074,25084) = 2² × 3² × 7¹ × 199¹ × 6271¹
LCM(25074,25084) = 314478108