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What is the Least Common Multiple of 5272 and 5280?

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 5272 and 5280 is 3479520.

LCM(5272,5280) = 3479520

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Least Common Multiple of 5272 and 5280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5272 and 5280, than apply into the LCM equation.

GCF(5272,5280) = 8
LCM(5272,5280) = ( 5272 × 5280) / 8
LCM(5272,5280) = 27836160 / 8
LCM(5272,5280) = 3479520

Least Common Multiple (LCM) of 5272 and 5280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5272 and 5280. First we will calculate the prime factors of 5272 and 5280.

Prime Factorization of 5272

Prime factors of 5272 are 2, 659. Prime factorization of 5272 in exponential form is:

5272 = 23 × 6591

Prime Factorization of 5280

Prime factors of 5280 are 2, 3, 5, 11. Prime factorization of 5280 in exponential form is:

5280 = 25 × 31 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 5272 and 5280.

LCM(5272,5280) = 25 × 6591 × 31 × 51 × 111
LCM(5272,5280) = 3479520