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What is the Least Common Multiple of 40813 and 40829?

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 40813 and 40829 is 1666353977.

LCM(40813,40829) = 1666353977

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Least Common Multiple of 40813 and 40829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40813 and 40829, than apply into the LCM equation.

GCF(40813,40829) = 1
LCM(40813,40829) = ( 40813 × 40829) / 1
LCM(40813,40829) = 1666353977 / 1
LCM(40813,40829) = 1666353977

Least Common Multiple (LCM) of 40813 and 40829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40813 and 40829. First we will calculate the prime factors of 40813 and 40829.

Prime Factorization of 40813

Prime factors of 40813 are 40813. Prime factorization of 40813 in exponential form is:

40813 = 408131

Prime Factorization of 40829

Prime factors of 40829 are 40829. Prime factorization of 40829 in exponential form is:

40829 = 408291

Now multiplying the highest exponent prime factors to calculate the LCM of 40813 and 40829.

LCM(40813,40829) = 408131 × 408291
LCM(40813,40829) = 1666353977