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What is the Least Common Multiple of 50917 and 50927?

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 50917 and 50927 is 2593050059.

LCM(50917,50927) = 2593050059

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Least Common Multiple of 50917 and 50927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50917 and 50927, than apply into the LCM equation.

GCF(50917,50927) = 1
LCM(50917,50927) = ( 50917 × 50927) / 1
LCM(50917,50927) = 2593050059 / 1
LCM(50917,50927) = 2593050059

Least Common Multiple (LCM) of 50917 and 50927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50917 and 50927. First we will calculate the prime factors of 50917 and 50927.

Prime Factorization of 50917

Prime factors of 50917 are 59, 863. Prime factorization of 50917 in exponential form is:

50917 = 591 × 8631

Prime Factorization of 50927

Prime factors of 50927 are 127, 401. Prime factorization of 50927 in exponential form is:

50927 = 1271 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 50917 and 50927.

LCM(50917,50927) = 591 × 8631 × 1271 × 4011
LCM(50917,50927) = 2593050059