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What is the Least Common Multiple of 40431 and 40451?

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 40431 and 40451 is 1635474381.

LCM(40431,40451) = 1635474381

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Least Common Multiple of 40431 and 40451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40431 and 40451, than apply into the LCM equation.

GCF(40431,40451) = 1
LCM(40431,40451) = ( 40431 × 40451) / 1
LCM(40431,40451) = 1635474381 / 1
LCM(40431,40451) = 1635474381

Least Common Multiple (LCM) of 40431 and 40451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40431 and 40451. First we will calculate the prime factors of 40431 and 40451.

Prime Factorization of 40431

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

40431 = 31 × 134771

Prime Factorization of 40451

Prime factors of 40451 are 19, 2129. Prime factorization of 40451 in exponential form is:

40451 = 191 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 40431 and 40451.

LCM(40431,40451) = 31 × 134771 × 191 × 21291
LCM(40431,40451) = 1635474381