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What is the Least Common Multiple of 5286 and 5299?

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 5286 and 5299 is 28010514.

LCM(5286,5299) = 28010514

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Least Common Multiple of 5286 and 5299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5286 and 5299, than apply into the LCM equation.

GCF(5286,5299) = 1
LCM(5286,5299) = ( 5286 × 5299) / 1
LCM(5286,5299) = 28010514 / 1
LCM(5286,5299) = 28010514

Least Common Multiple (LCM) of 5286 and 5299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5286 and 5299. First we will calculate the prime factors of 5286 and 5299.

Prime Factorization of 5286

Prime factors of 5286 are 2, 3, 881. Prime factorization of 5286 in exponential form is:

5286 = 21 × 31 × 8811

Prime Factorization of 5299

Prime factors of 5299 are 7, 757. Prime factorization of 5299 in exponential form is:

5299 = 71 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 5286 and 5299.

LCM(5286,5299) = 21 × 31 × 8811 × 71 × 7571
LCM(5286,5299) = 28010514