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What is the Least Common Multiple of 40063 and 40082?

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 40063 and 40082 is 1605805166.

LCM(40063,40082) = 1605805166

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Least Common Multiple of 40063 and 40082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40063 and 40082, than apply into the LCM equation.

GCF(40063,40082) = 1
LCM(40063,40082) = ( 40063 × 40082) / 1
LCM(40063,40082) = 1605805166 / 1
LCM(40063,40082) = 1605805166

Least Common Multiple (LCM) of 40063 and 40082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40063 and 40082. First we will calculate the prime factors of 40063 and 40082.

Prime Factorization of 40063

Prime factors of 40063 are 40063. Prime factorization of 40063 in exponential form is:

40063 = 400631

Prime Factorization of 40082

Prime factors of 40082 are 2, 7, 409. Prime factorization of 40082 in exponential form is:

40082 = 21 × 72 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 40063 and 40082.

LCM(40063,40082) = 400631 × 21 × 72 × 4091
LCM(40063,40082) = 1605805166