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What is the Least Common Multiple of 50127 and 50133?

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 50127 and 50133 is 837672297.

LCM(50127,50133) = 837672297

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Least Common Multiple of 50127 and 50133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50127 and 50133, than apply into the LCM equation.

GCF(50127,50133) = 3
LCM(50127,50133) = ( 50127 × 50133) / 3
LCM(50127,50133) = 2513016891 / 3
LCM(50127,50133) = 837672297

Least Common Multiple (LCM) of 50127 and 50133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50127 and 50133. First we will calculate the prime factors of 50127 and 50133.

Prime Factorization of 50127

Prime factors of 50127 are 3, 7, 11, 31. Prime factorization of 50127 in exponential form is:

50127 = 31 × 72 × 111 × 311

Prime Factorization of 50133

Prime factors of 50133 are 3, 17, 983. Prime factorization of 50133 in exponential form is:

50133 = 31 × 171 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 50127 and 50133.

LCM(50127,50133) = 31 × 72 × 111 × 311 × 171 × 9831
LCM(50127,50133) = 837672297