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What is the Least Common Multiple of 5277 and 5283?

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 5277 and 5283 is 9292797.

LCM(5277,5283) = 9292797

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Least Common Multiple of 5277 and 5283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5277 and 5283, than apply into the LCM equation.

GCF(5277,5283) = 3
LCM(5277,5283) = ( 5277 × 5283) / 3
LCM(5277,5283) = 27878391 / 3
LCM(5277,5283) = 9292797

Least Common Multiple (LCM) of 5277 and 5283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5277 and 5283. First we will calculate the prime factors of 5277 and 5283.

Prime Factorization of 5277

Prime factors of 5277 are 3, 1759. Prime factorization of 5277 in exponential form is:

5277 = 31 × 17591

Prime Factorization of 5283

Prime factors of 5283 are 3, 587. Prime factorization of 5283 in exponential form is:

5283 = 32 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 5277 and 5283.

LCM(5277,5283) = 32 × 17591 × 5871
LCM(5277,5283) = 9292797