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What is the Least Common Multiple of 50563 and 50573?

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 50563 and 50573 is 2557122599.

LCM(50563,50573) = 2557122599

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Least Common Multiple of 50563 and 50573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50563 and 50573, than apply into the LCM equation.

GCF(50563,50573) = 1
LCM(50563,50573) = ( 50563 × 50573) / 1
LCM(50563,50573) = 2557122599 / 1
LCM(50563,50573) = 2557122599

Least Common Multiple (LCM) of 50563 and 50573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50563 and 50573. First we will calculate the prime factors of 50563 and 50573.

Prime Factorization of 50563

Prime factors of 50563 are 59, 857. Prime factorization of 50563 in exponential form is:

50563 = 591 × 8571

Prime Factorization of 50573

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

50573 = 1031 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 50563 and 50573.

LCM(50563,50573) = 591 × 8571 × 1031 × 4911
LCM(50563,50573) = 2557122599