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What is the Least Common Multiple of 50396 and 50411?

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 50396 and 50411 is 2540512756.

LCM(50396,50411) = 2540512756

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Least Common Multiple of 50396 and 50411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50396 and 50411, than apply into the LCM equation.

GCF(50396,50411) = 1
LCM(50396,50411) = ( 50396 × 50411) / 1
LCM(50396,50411) = 2540512756 / 1
LCM(50396,50411) = 2540512756

Least Common Multiple (LCM) of 50396 and 50411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50396 and 50411. First we will calculate the prime factors of 50396 and 50411.

Prime Factorization of 50396

Prime factors of 50396 are 2, 43, 293. Prime factorization of 50396 in exponential form is:

50396 = 22 × 431 × 2931

Prime Factorization of 50411

Prime factors of 50411 are 50411. Prime factorization of 50411 in exponential form is:

50411 = 504111

Now multiplying the highest exponent prime factors to calculate the LCM of 50396 and 50411.

LCM(50396,50411) = 22 × 431 × 2931 × 504111
LCM(50396,50411) = 2540512756