What is the Least Common Multiple of 25050 and 25056?

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 25050 and 25056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25050 and 25056, than apply into the LCM equation.

GCF(25050,25056) = 6
LCM(25050,25056) = ( 25050 × 25056) / 6
LCM(25050,25056) = 627652800 / 6
LCM(25050,25056) = 104608800

Least Common Multiple (LCM) of 25050 and 25056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25050 and 25056. First we will calculate the prime factors of 25050 and 25056.

Prime Factorization of 25050

Prime Factorization of 25056

Now multiplying the highest exponent prime factors to calculate the LCM of 25050 and 25056.

LCM(25050,25056) = 2⁵ × 3³ × 5² × 167¹ × 29¹
LCM(25050,25056) = 104608800