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What is the Least Common Multiple of 40579 and 40594?

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 40579 and 40594 is 1647263926.

LCM(40579,40594) = 1647263926

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Least Common Multiple of 40579 and 40594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40579 and 40594, than apply into the LCM equation.

GCF(40579,40594) = 1
LCM(40579,40594) = ( 40579 × 40594) / 1
LCM(40579,40594) = 1647263926 / 1
LCM(40579,40594) = 1647263926

Least Common Multiple (LCM) of 40579 and 40594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40579 and 40594. First we will calculate the prime factors of 40579 and 40594.

Prime Factorization of 40579

Prime factors of 40579 are 7, 11, 17, 31. Prime factorization of 40579 in exponential form is:

40579 = 71 × 111 × 171 × 311

Prime Factorization of 40594

Prime factors of 40594 are 2, 20297. Prime factorization of 40594 in exponential form is:

40594 = 21 × 202971

Now multiplying the highest exponent prime factors to calculate the LCM of 40579 and 40594.

LCM(40579,40594) = 71 × 111 × 171 × 311 × 21 × 202971
LCM(40579,40594) = 1647263926