What is the Least Common Multiple of 7240 and 7250?

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 7240 and 7250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7240 and 7250, than apply into the LCM equation.

GCF(7240,7250) = 10
LCM(7240,7250) = ( 7240 × 7250) / 10
LCM(7240,7250) = 52490000 / 10
LCM(7240,7250) = 5249000

Least Common Multiple (LCM) of 7240 and 7250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7240 and 7250. First we will calculate the prime factors of 7240 and 7250.

Prime Factorization of 7240

Prime Factorization of 7250

Now multiplying the highest exponent prime factors to calculate the LCM of 7240 and 7250.

LCM(7240,7250) = 2³ × 5³ × 181¹ × 29¹
LCM(7240,7250) = 5249000