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What is the Least Common Multiple of 51287 and 51299?

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 51287 and 51299 is 2630971813.

LCM(51287,51299) = 2630971813

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Least Common Multiple of 51287 and 51299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51287 and 51299, than apply into the LCM equation.

GCF(51287,51299) = 1
LCM(51287,51299) = ( 51287 × 51299) / 1
LCM(51287,51299) = 2630971813 / 1
LCM(51287,51299) = 2630971813

Least Common Multiple (LCM) of 51287 and 51299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51287 and 51299. First we will calculate the prime factors of 51287 and 51299.

Prime Factorization of 51287

Prime factors of 51287 are 51287. Prime factorization of 51287 in exponential form is:

51287 = 512871

Prime Factorization of 51299

Prime factors of 51299 are 43, 1193. Prime factorization of 51299 in exponential form is:

51299 = 431 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 51287 and 51299.

LCM(51287,51299) = 512871 × 431 × 11931
LCM(51287,51299) = 2630971813