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What is the Least Common Multiple of 51363 and 51371?

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 51363 and 51371 is 2638568673.

LCM(51363,51371) = 2638568673

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Least Common Multiple of 51363 and 51371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51363 and 51371, than apply into the LCM equation.

GCF(51363,51371) = 1
LCM(51363,51371) = ( 51363 × 51371) / 1
LCM(51363,51371) = 2638568673 / 1
LCM(51363,51371) = 2638568673

Least Common Multiple (LCM) of 51363 and 51371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51363 and 51371. First we will calculate the prime factors of 51363 and 51371.

Prime Factorization of 51363

Prime factors of 51363 are 3, 13, 439. Prime factorization of 51363 in exponential form is:

51363 = 32 × 131 × 4391

Prime Factorization of 51371

Prime factors of 51371 are 47, 1093. Prime factorization of 51371 in exponential form is:

51371 = 471 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 51363 and 51371.

LCM(51363,51371) = 32 × 131 × 4391 × 471 × 10931
LCM(51363,51371) = 2638568673