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What is the Least Common Multiple of 40087 and 40094?

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 40094 is 1607248178.

LCM(40087,40094) = 1607248178

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Least Common Multiple of 40087 and 40094 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 40094, than apply into the LCM equation.

GCF(40087,40094) = 1
LCM(40087,40094) = ( 40087 × 40094) / 1
LCM(40087,40094) = 1607248178 / 1
LCM(40087,40094) = 1607248178

Least Common Multiple (LCM) of 40087 and 40094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40087 and 40094. First we will calculate the prime factors of 40087 and 40094.

Prime Factorization of 40087

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

40087 = 400871

Prime Factorization of 40094

Prime factors of 40094 are 2, 20047. Prime factorization of 40094 in exponential form is:

40094 = 21 × 200471

Now multiplying the highest exponent prime factors to calculate the LCM of 40087 and 40094.

LCM(40087,40094) = 400871 × 21 × 200471
LCM(40087,40094) = 1607248178