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What is the Least Common Multiple of 40837 and 40855?

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 40837 and 40855 is 1668395635.

LCM(40837,40855) = 1668395635

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Least Common Multiple of 40837 and 40855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40837 and 40855, than apply into the LCM equation.

GCF(40837,40855) = 1
LCM(40837,40855) = ( 40837 × 40855) / 1
LCM(40837,40855) = 1668395635 / 1
LCM(40837,40855) = 1668395635

Least Common Multiple (LCM) of 40837 and 40855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40837 and 40855. First we will calculate the prime factors of 40837 and 40855.

Prime Factorization of 40837

Prime factors of 40837 are 97, 421. Prime factorization of 40837 in exponential form is:

40837 = 971 × 4211

Prime Factorization of 40855

Prime factors of 40855 are 5, 8171. Prime factorization of 40855 in exponential form is:

40855 = 51 × 81711

Now multiplying the highest exponent prime factors to calculate the LCM of 40837 and 40855.

LCM(40837,40855) = 971 × 4211 × 51 × 81711
LCM(40837,40855) = 1668395635