What is the Least Common Multiple of 25240 and 25250?

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 25240 and 25250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25240 and 25250, than apply into the LCM equation.

GCF(25240,25250) = 10
LCM(25240,25250) = ( 25240 × 25250) / 10
LCM(25240,25250) = 637310000 / 10
LCM(25240,25250) = 63731000

Least Common Multiple (LCM) of 25240 and 25250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25240 and 25250. First we will calculate the prime factors of 25240 and 25250.

Prime Factorization of 25240

Prime Factorization of 25250

Now multiplying the highest exponent prime factors to calculate the LCM of 25240 and 25250.

LCM(25240,25250) = 2³ × 5³ × 631¹ × 101¹
LCM(25240,25250) = 63731000