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What is the Least Common Multiple of 50729 and 50747?

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 50729 and 50747 is 2574344563.

LCM(50729,50747) = 2574344563

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Least Common Multiple of 50729 and 50747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50729 and 50747, than apply into the LCM equation.

GCF(50729,50747) = 1
LCM(50729,50747) = ( 50729 × 50747) / 1
LCM(50729,50747) = 2574344563 / 1
LCM(50729,50747) = 2574344563

Least Common Multiple (LCM) of 50729 and 50747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50729 and 50747. First we will calculate the prime factors of 50729 and 50747.

Prime Factorization of 50729

Prime factors of 50729 are 7, 7247. Prime factorization of 50729 in exponential form is:

50729 = 71 × 72471

Prime Factorization of 50747

Prime factors of 50747 are 31, 1637. Prime factorization of 50747 in exponential form is:

50747 = 311 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 50729 and 50747.

LCM(50729,50747) = 71 × 72471 × 311 × 16371
LCM(50729,50747) = 2574344563