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What is the Least Common Multiple of 50381 and 50395?

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 50381 and 50395 is 2538950495.

LCM(50381,50395) = 2538950495

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Least Common Multiple of 50381 and 50395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50381 and 50395, than apply into the LCM equation.

GCF(50381,50395) = 1
LCM(50381,50395) = ( 50381 × 50395) / 1
LCM(50381,50395) = 2538950495 / 1
LCM(50381,50395) = 2538950495

Least Common Multiple (LCM) of 50381 and 50395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50381 and 50395. First we will calculate the prime factors of 50381 and 50395.

Prime Factorization of 50381

Prime factors of 50381 are 83, 607. Prime factorization of 50381 in exponential form is:

50381 = 831 × 6071

Prime Factorization of 50395

Prime factors of 50395 are 5, 10079. Prime factorization of 50395 in exponential form is:

50395 = 51 × 100791

Now multiplying the highest exponent prime factors to calculate the LCM of 50381 and 50395.

LCM(50381,50395) = 831 × 6071 × 51 × 100791
LCM(50381,50395) = 2538950495