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What is the Least Common Multiple of 40411 and 40431?

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 40411 and 40431 is 1633857141.

LCM(40411,40431) = 1633857141

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Least Common Multiple of 40411 and 40431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40411 and 40431, than apply into the LCM equation.

GCF(40411,40431) = 1
LCM(40411,40431) = ( 40411 × 40431) / 1
LCM(40411,40431) = 1633857141 / 1
LCM(40411,40431) = 1633857141

Least Common Multiple (LCM) of 40411 and 40431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40411 and 40431. First we will calculate the prime factors of 40411 and 40431.

Prime Factorization of 40411

Prime factors of 40411 are 7, 23, 251. Prime factorization of 40411 in exponential form is:

40411 = 71 × 231 × 2511

Prime Factorization of 40431

Prime factors of 40431 are 3, 13477. Prime factorization of 40431 in exponential form is:

40431 = 31 × 134771

Now multiplying the highest exponent prime factors to calculate the LCM of 40411 and 40431.

LCM(40411,40431) = 71 × 231 × 2511 × 31 × 134771
LCM(40411,40431) = 1633857141