What is the Least Common Multiple of 25040 and 25054?

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 25040 and 25054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25040 and 25054, than apply into the LCM equation.

GCF(25040,25054) = 2
LCM(25040,25054) = ( 25040 × 25054) / 2
LCM(25040,25054) = 627352160 / 2
LCM(25040,25054) = 313676080

Least Common Multiple (LCM) of 25040 and 25054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25040 and 25054. First we will calculate the prime factors of 25040 and 25054.

Prime Factorization of 25040

Prime Factorization of 25054

Now multiplying the highest exponent prime factors to calculate the LCM of 25040 and 25054.

LCM(25040,25054) = 2⁴ × 5¹ × 313¹ × 12527¹
LCM(25040,25054) = 313676080