What is the Least Common Multiple of 7264 and 7268?

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 7264 and 7268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7264 and 7268, than apply into the LCM equation.

GCF(7264,7268) = 4
LCM(7264,7268) = ( 7264 × 7268) / 4
LCM(7264,7268) = 52794752 / 4
LCM(7264,7268) = 13198688

Least Common Multiple (LCM) of 7264 and 7268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7264 and 7268. First we will calculate the prime factors of 7264 and 7268.

Prime Factorization of 7264

Prime Factorization of 7268

Now multiplying the highest exponent prime factors to calculate the LCM of 7264 and 7268.

LCM(7264,7268) = 2⁵ × 227¹ × 23¹ × 79¹
LCM(7264,7268) = 13198688