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What is the Least Common Multiple of 51473 and 51479?

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 51473 and 51479 is 2649778567.

LCM(51473,51479) = 2649778567

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Least Common Multiple of 51473 and 51479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51473 and 51479, than apply into the LCM equation.

GCF(51473,51479) = 1
LCM(51473,51479) = ( 51473 × 51479) / 1
LCM(51473,51479) = 2649778567 / 1
LCM(51473,51479) = 2649778567

Least Common Multiple (LCM) of 51473 and 51479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51473 and 51479. First we will calculate the prime factors of 51473 and 51479.

Prime Factorization of 51473

Prime factors of 51473 are 51473. Prime factorization of 51473 in exponential form is:

51473 = 514731

Prime Factorization of 51479

Prime factors of 51479 are 51479. Prime factorization of 51479 in exponential form is:

51479 = 514791

Now multiplying the highest exponent prime factors to calculate the LCM of 51473 and 51479.

LCM(51473,51479) = 514731 × 514791
LCM(51473,51479) = 2649778567