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What is the Least Common Multiple of 50573 and 50582?

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 50573 and 50582 is 2558083486.

LCM(50573,50582) = 2558083486

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Least Common Multiple of 50573 and 50582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50573 and 50582, than apply into the LCM equation.

GCF(50573,50582) = 1
LCM(50573,50582) = ( 50573 × 50582) / 1
LCM(50573,50582) = 2558083486 / 1
LCM(50573,50582) = 2558083486

Least Common Multiple (LCM) of 50573 and 50582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50573 and 50582. First we will calculate the prime factors of 50573 and 50582.

Prime Factorization of 50573

Prime factors of 50573 are 103, 491. Prime factorization of 50573 in exponential form is:

50573 = 1031 × 4911

Prime Factorization of 50582

Prime factors of 50582 are 2, 7, 3613. Prime factorization of 50582 in exponential form is:

50582 = 21 × 71 × 36131

Now multiplying the highest exponent prime factors to calculate the LCM of 50573 and 50582.

LCM(50573,50582) = 1031 × 4911 × 21 × 71 × 36131
LCM(50573,50582) = 2558083486