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What is the Least Common Multiple of 50411 and 50422?

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 50411 and 50422 is 2541823442.

LCM(50411,50422) = 2541823442

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Least Common Multiple of 50411 and 50422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50411 and 50422, than apply into the LCM equation.

GCF(50411,50422) = 1
LCM(50411,50422) = ( 50411 × 50422) / 1
LCM(50411,50422) = 2541823442 / 1
LCM(50411,50422) = 2541823442

Least Common Multiple (LCM) of 50411 and 50422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50411 and 50422. First we will calculate the prime factors of 50411 and 50422.

Prime Factorization of 50411

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

50411 = 504111

Prime Factorization of 50422

Prime factors of 50422 are 2, 17, 1483. Prime factorization of 50422 in exponential form is:

50422 = 21 × 171 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 50411 and 50422.

LCM(50411,50422) = 504111 × 21 × 171 × 14831
LCM(50411,50422) = 2541823442