What is the Least Common Multiple of 7252 and 7259?

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 7252 and 7259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7252 and 7259, than apply into the LCM equation.

GCF(7252,7259) = 7
LCM(7252,7259) = ( 7252 × 7259) / 7
LCM(7252,7259) = 52642268 / 7
LCM(7252,7259) = 7520324

Least Common Multiple (LCM) of 7252 and 7259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7252 and 7259. First we will calculate the prime factors of 7252 and 7259.

Prime Factorization of 7252

Prime Factorization of 7259

Now multiplying the highest exponent prime factors to calculate the LCM of 7252 and 7259.

LCM(7252,7259) = 2² × 7² × 37¹ × 17¹ × 61¹
LCM(7252,7259) = 7520324