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What is the Least Common Multiple of 40037 and 40045?

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 40037 and 40045 is 1603281665.

LCM(40037,40045) = 1603281665

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Least Common Multiple of 40037 and 40045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40037 and 40045, than apply into the LCM equation.

GCF(40037,40045) = 1
LCM(40037,40045) = ( 40037 × 40045) / 1
LCM(40037,40045) = 1603281665 / 1
LCM(40037,40045) = 1603281665

Least Common Multiple (LCM) of 40037 and 40045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40037 and 40045. First we will calculate the prime factors of 40037 and 40045.

Prime Factorization of 40037

Prime factors of 40037 are 40037. Prime factorization of 40037 in exponential form is:

40037 = 400371

Prime Factorization of 40045

Prime factors of 40045 are 5, 8009. Prime factorization of 40045 in exponential form is:

40045 = 51 × 80091

Now multiplying the highest exponent prime factors to calculate the LCM of 40037 and 40045.

LCM(40037,40045) = 400371 × 51 × 80091
LCM(40037,40045) = 1603281665