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What is the Least Common Multiple of 50473 and 50486?

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 50473 and 50486 is 2548179878.

LCM(50473,50486) = 2548179878

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Least Common Multiple of 50473 and 50486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50473 and 50486, than apply into the LCM equation.

GCF(50473,50486) = 1
LCM(50473,50486) = ( 50473 × 50486) / 1
LCM(50473,50486) = 2548179878 / 1
LCM(50473,50486) = 2548179878

Least Common Multiple (LCM) of 50473 and 50486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50473 and 50486. First we will calculate the prime factors of 50473 and 50486.

Prime Factorization of 50473

Prime factors of 50473 are 17, 2969. Prime factorization of 50473 in exponential form is:

50473 = 171 × 29691

Prime Factorization of 50486

Prime factors of 50486 are 2, 25243. Prime factorization of 50486 in exponential form is:

50486 = 21 × 252431

Now multiplying the highest exponent prime factors to calculate the LCM of 50473 and 50486.

LCM(50473,50486) = 171 × 29691 × 21 × 252431
LCM(50473,50486) = 2548179878