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What is the Least Common Multiple of 5274 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 5274 and 5280 is 4641120.

LCM(5274,5280) = 4641120

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Least Common Multiple of 5274 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 5274 and 5280, than apply into the LCM equation.

GCF(5274,5280) = 6
LCM(5274,5280) = ( 5274 × 5280) / 6
LCM(5274,5280) = 27846720 / 6
LCM(5274,5280) = 4641120

Least Common Multiple (LCM) of 5274 and 5280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5274 and 5280. First we will calculate the prime factors of 5274 and 5280.

Prime Factorization of 5274

Prime factors of 5274 are 2, 3, 293. Prime factorization of 5274 in exponential form is:

5274 = 21 × 32 × 2931

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 5274 and 5280.

LCM(5274,5280) = 25 × 32 × 2931 × 51 × 111
LCM(5274,5280) = 4641120