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What is the Least Common Multiple of 50063 and 50077?

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 50063 and 50077 is 2507004851.

LCM(50063,50077) = 2507004851

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Least Common Multiple of 50063 and 50077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50063 and 50077, than apply into the LCM equation.

GCF(50063,50077) = 1
LCM(50063,50077) = ( 50063 × 50077) / 1
LCM(50063,50077) = 2507004851 / 1
LCM(50063,50077) = 2507004851

Least Common Multiple (LCM) of 50063 and 50077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50063 and 50077. First we will calculate the prime factors of 50063 and 50077.

Prime Factorization of 50063

Prime factors of 50063 are 13, 3851. Prime factorization of 50063 in exponential form is:

50063 = 131 × 38511

Prime Factorization of 50077

Prime factors of 50077 are 50077. Prime factorization of 50077 in exponential form is:

50077 = 500771

Now multiplying the highest exponent prime factors to calculate the LCM of 50063 and 50077.

LCM(50063,50077) = 131 × 38511 × 500771
LCM(50063,50077) = 2507004851