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What is the Least Common Multiple of 40063 and 40074?

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 40074 is 1605484662.

LCM(40063,40074) = 1605484662

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Least Common Multiple of 40063 and 40074 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 40074, than apply into the LCM equation.

GCF(40063,40074) = 1
LCM(40063,40074) = ( 40063 × 40074) / 1
LCM(40063,40074) = 1605484662 / 1
LCM(40063,40074) = 1605484662

Least Common Multiple (LCM) of 40063 and 40074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40063 and 40074. First we will calculate the prime factors of 40063 and 40074.

Prime Factorization of 40063

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

40063 = 400631

Prime Factorization of 40074

Prime factors of 40074 are 2, 3, 6679. Prime factorization of 40074 in exponential form is:

40074 = 21 × 31 × 66791

Now multiplying the highest exponent prime factors to calculate the LCM of 40063 and 40074.

LCM(40063,40074) = 400631 × 21 × 31 × 66791
LCM(40063,40074) = 1605484662