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What is the Least Common Multiple of 50927 and 50934?

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 50927 and 50934 is 2593915818.

LCM(50927,50934) = 2593915818

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Least Common Multiple of 50927 and 50934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50927 and 50934, than apply into the LCM equation.

GCF(50927,50934) = 1
LCM(50927,50934) = ( 50927 × 50934) / 1
LCM(50927,50934) = 2593915818 / 1
LCM(50927,50934) = 2593915818

Least Common Multiple (LCM) of 50927 and 50934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50927 and 50934. First we will calculate the prime factors of 50927 and 50934.

Prime Factorization of 50927

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

50927 = 1271 × 4011

Prime Factorization of 50934

Prime factors of 50934 are 2, 3, 13, 653. Prime factorization of 50934 in exponential form is:

50934 = 21 × 31 × 131 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 50927 and 50934.

LCM(50927,50934) = 1271 × 4011 × 21 × 31 × 131 × 6531
LCM(50927,50934) = 2593915818