What is the Least Common Multiple of 10240 and 10250?

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 10240 and 10250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10240 and 10250, than apply into the LCM equation.

GCF(10240,10250) = 10
LCM(10240,10250) = ( 10240 × 10250) / 10
LCM(10240,10250) = 104960000 / 10
LCM(10240,10250) = 10496000

Least Common Multiple (LCM) of 10240 and 10250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10250. First we will calculate the prime factors of 10240 and 10250.

Prime Factorization of 10240

Prime Factorization of 10250

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10250.

LCM(10240,10250) = 2¹¹ × 5³ × 41¹
LCM(10240,10250) = 10496000