What is the Least Common Multiple of 7264 and 7276?

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 7276 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 7276, than apply into the LCM equation.

GCF(7264,7276) = 4
LCM(7264,7276) = ( 7264 × 7276) / 4
LCM(7264,7276) = 52852864 / 4
LCM(7264,7276) = 13213216

Least Common Multiple (LCM) of 7264 and 7276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7264 and 7276. First we will calculate the prime factors of 7264 and 7276.

Prime Factorization of 7264

Prime Factorization of 7276

Now multiplying the highest exponent prime factors to calculate the LCM of 7264 and 7276.

LCM(7264,7276) = 2⁵ × 227¹ × 17¹ × 107¹
LCM(7264,7276) = 13213216