What is the Least Common Multiple of 7225 and 7240?

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 7225 and 7240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7225 and 7240, than apply into the LCM equation.

GCF(7225,7240) = 5
LCM(7225,7240) = ( 7225 × 7240) / 5
LCM(7225,7240) = 52309000 / 5
LCM(7225,7240) = 10461800

Least Common Multiple (LCM) of 7225 and 7240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7225 and 7240. First we will calculate the prime factors of 7225 and 7240.

Prime Factorization of 7225

Prime Factorization of 7240

Now multiplying the highest exponent prime factors to calculate the LCM of 7225 and 7240.

LCM(7225,7240) = 5² × 17² × 2³ × 181¹
LCM(7225,7240) = 10461800