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What is the Least Common Multiple of 49411 and 49422?

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 49411 and 49422 is 2441990442.

LCM(49411,49422) = 2441990442

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Least Common Multiple of 49411 and 49422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49411 and 49422, than apply into the LCM equation.

GCF(49411,49422) = 1
LCM(49411,49422) = ( 49411 × 49422) / 1
LCM(49411,49422) = 2441990442 / 1
LCM(49411,49422) = 2441990442

Least Common Multiple (LCM) of 49411 and 49422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49411 and 49422. First we will calculate the prime factors of 49411 and 49422.

Prime Factorization of 49411

Prime factors of 49411 are 49411. Prime factorization of 49411 in exponential form is:

49411 = 494111

Prime Factorization of 49422

Prime factors of 49422 are 2, 3, 8237. Prime factorization of 49422 in exponential form is:

49422 = 21 × 31 × 82371

Now multiplying the highest exponent prime factors to calculate the LCM of 49411 and 49422.

LCM(49411,49422) = 494111 × 21 × 31 × 82371
LCM(49411,49422) = 2441990442