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What is the Least Common Multiple of 50567 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 50567 and 50573 is 2557324891.

LCM(50567,50573) = 2557324891

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Least Common Multiple of 50567 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 50567 and 50573, than apply into the LCM equation.

GCF(50567,50573) = 1
LCM(50567,50573) = ( 50567 × 50573) / 1
LCM(50567,50573) = 2557324891 / 1
LCM(50567,50573) = 2557324891

Least Common Multiple (LCM) of 50567 and 50573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50567 and 50573. First we will calculate the prime factors of 50567 and 50573.

Prime Factorization of 50567

Prime factors of 50567 are 11, 4597. Prime factorization of 50567 in exponential form is:

50567 = 111 × 45971

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 50567 and 50573.

LCM(50567,50573) = 111 × 45971 × 1031 × 4911
LCM(50567,50573) = 2557324891