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What is the Least Common Multiple of 51713 and 51727?

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 51713 and 51727 is 2674958351.

LCM(51713,51727) = 2674958351

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Least Common Multiple of 51713 and 51727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51713 and 51727, than apply into the LCM equation.

GCF(51713,51727) = 1
LCM(51713,51727) = ( 51713 × 51727) / 1
LCM(51713,51727) = 2674958351 / 1
LCM(51713,51727) = 2674958351

Least Common Multiple (LCM) of 51713 and 51727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51713 and 51727. First we will calculate the prime factors of 51713 and 51727.

Prime Factorization of 51713

Prime factors of 51713 are 51713. Prime factorization of 51713 in exponential form is:

51713 = 517131

Prime Factorization of 51727

Prime factors of 51727 are 13, 23, 173. Prime factorization of 51727 in exponential form is:

51727 = 131 × 231 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 51713 and 51727.

LCM(51713,51727) = 517131 × 131 × 231 × 1731
LCM(51713,51727) = 2674958351