What is the Least Common Multiple of 25250 and 25264?

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 25250 and 25264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25250 and 25264, than apply into the LCM equation.

GCF(25250,25264) = 2
LCM(25250,25264) = ( 25250 × 25264) / 2
LCM(25250,25264) = 637916000 / 2
LCM(25250,25264) = 318958000

Least Common Multiple (LCM) of 25250 and 25264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25250 and 25264. First we will calculate the prime factors of 25250 and 25264.

Prime Factorization of 25250

Prime Factorization of 25264

Now multiplying the highest exponent prime factors to calculate the LCM of 25250 and 25264.

LCM(25250,25264) = 2⁴ × 5³ × 101¹ × 1579¹
LCM(25250,25264) = 318958000