What is the Least Common Multiple of 25056 and 25074?

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 25056 and 25074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25056 and 25074, than apply into the LCM equation.

GCF(25056,25074) = 18
LCM(25056,25074) = ( 25056 × 25074) / 18
LCM(25056,25074) = 628254144 / 18
LCM(25056,25074) = 34903008

Least Common Multiple (LCM) of 25056 and 25074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25056 and 25074. First we will calculate the prime factors of 25056 and 25074.

Prime Factorization of 25056

Prime Factorization of 25074

Now multiplying the highest exponent prime factors to calculate the LCM of 25056 and 25074.

LCM(25056,25074) = 2⁵ × 3³ × 29¹ × 7¹ × 199¹
LCM(25056,25074) = 34903008