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What is the Least Common Multiple of 5268 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 5268 and 5280 is 2317920.

LCM(5268,5280) = 2317920

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Least Common Multiple of 5268 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 5268 and 5280, than apply into the LCM equation.

GCF(5268,5280) = 12
LCM(5268,5280) = ( 5268 × 5280) / 12
LCM(5268,5280) = 27815040 / 12
LCM(5268,5280) = 2317920

Least Common Multiple (LCM) of 5268 and 5280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5268 and 5280. First we will calculate the prime factors of 5268 and 5280.

Prime Factorization of 5268

Prime factors of 5268 are 2, 3, 439. Prime factorization of 5268 in exponential form is:

5268 = 22 × 31 × 4391

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 5268 and 5280.

LCM(5268,5280) = 25 × 31 × 4391 × 51 × 111
LCM(5268,5280) = 2317920