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What is the Least Common Multiple of 50291 and 50296?

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 50291 and 50296 is 2529436136.

LCM(50291,50296) = 2529436136

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Least Common Multiple of 50291 and 50296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50291 and 50296, than apply into the LCM equation.

GCF(50291,50296) = 1
LCM(50291,50296) = ( 50291 × 50296) / 1
LCM(50291,50296) = 2529436136 / 1
LCM(50291,50296) = 2529436136

Least Common Multiple (LCM) of 50291 and 50296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50291 and 50296. First we will calculate the prime factors of 50291 and 50296.

Prime Factorization of 50291

Prime factors of 50291 are 50291. Prime factorization of 50291 in exponential form is:

50291 = 502911

Prime Factorization of 50296

Prime factors of 50296 are 2, 6287. Prime factorization of 50296 in exponential form is:

50296 = 23 × 62871

Now multiplying the highest exponent prime factors to calculate the LCM of 50291 and 50296.

LCM(50291,50296) = 502911 × 23 × 62871
LCM(50291,50296) = 2529436136