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What is the Least Common Multiple of 51464 and 51473?

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 51464 and 51473 is 2649006472.

LCM(51464,51473) = 2649006472

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Least Common Multiple of 51464 and 51473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51464 and 51473, than apply into the LCM equation.

GCF(51464,51473) = 1
LCM(51464,51473) = ( 51464 × 51473) / 1
LCM(51464,51473) = 2649006472 / 1
LCM(51464,51473) = 2649006472

Least Common Multiple (LCM) of 51464 and 51473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51464 and 51473. First we will calculate the prime factors of 51464 and 51473.

Prime Factorization of 51464

Prime factors of 51464 are 2, 7, 919. Prime factorization of 51464 in exponential form is:

51464 = 23 × 71 × 9191

Prime Factorization of 51473

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

51473 = 514731

Now multiplying the highest exponent prime factors to calculate the LCM of 51464 and 51473.

LCM(51464,51473) = 23 × 71 × 9191 × 514731
LCM(51464,51473) = 2649006472