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What is the Least Common Multiple of 40087 and 40093?

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 40087 and 40093 is 1607208091.

LCM(40087,40093) = 1607208091

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Least Common Multiple of 40087 and 40093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40087 and 40093, than apply into the LCM equation.

GCF(40087,40093) = 1
LCM(40087,40093) = ( 40087 × 40093) / 1
LCM(40087,40093) = 1607208091 / 1
LCM(40087,40093) = 1607208091

Least Common Multiple (LCM) of 40087 and 40093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40087 and 40093. First we will calculate the prime factors of 40087 and 40093.

Prime Factorization of 40087

Prime factors of 40087 are 40087. Prime factorization of 40087 in exponential form is:

40087 = 400871

Prime Factorization of 40093

Prime factors of 40093 are 40093. Prime factorization of 40093 in exponential form is:

40093 = 400931

Now multiplying the highest exponent prime factors to calculate the LCM of 40087 and 40093.

LCM(40087,40093) = 400871 × 400931
LCM(40087,40093) = 1607208091