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What is the Least Common Multiple of 50036 and 50044?

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 50036 and 50044 is 626000396.

LCM(50036,50044) = 626000396

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Least Common Multiple of 50036 and 50044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50036 and 50044, than apply into the LCM equation.

GCF(50036,50044) = 4
LCM(50036,50044) = ( 50036 × 50044) / 4
LCM(50036,50044) = 2504001584 / 4
LCM(50036,50044) = 626000396

Least Common Multiple (LCM) of 50036 and 50044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50036 and 50044. First we will calculate the prime factors of 50036 and 50044.

Prime Factorization of 50036

Prime factors of 50036 are 2, 7, 1787. Prime factorization of 50036 in exponential form is:

50036 = 22 × 71 × 17871

Prime Factorization of 50044

Prime factors of 50044 are 2, 12511. Prime factorization of 50044 in exponential form is:

50044 = 22 × 125111

Now multiplying the highest exponent prime factors to calculate the LCM of 50036 and 50044.

LCM(50036,50044) = 22 × 71 × 17871 × 125111
LCM(50036,50044) = 626000396