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What is the Least Common Multiple of 7244 and 7264?

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 (LCM) of 7244 and 7264 is 13155104.

LCM(7244,7264) = 13155104

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Least Common Multiple of 7244 and 7264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7244 and 7264, than apply into the LCM equation.

GCF(7244,7264) = 4
LCM(7244,7264) = ( 7244 × 7264) / 4
LCM(7244,7264) = 52620416 / 4
LCM(7244,7264) = 13155104

Least Common Multiple (LCM) of 7244 and 7264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7244 and 7264. First we will calculate the prime factors of 7244 and 7264.

Prime Factorization of 7244

Prime factors of 7244 are 2, 1811. Prime factorization of 7244 in exponential form is:

7244 = 22 × 18111

Prime Factorization of 7264

Prime factors of 7264 are 2, 227. Prime factorization of 7264 in exponential form is:

7264 = 25 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7244 and 7264.

LCM(7244,7264) = 25 × 18111 × 2271
LCM(7244,7264) = 13155104