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What is the Least Common Multiple of 40094 and 40099?

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 40094 and 40099 is 1607729306.

LCM(40094,40099) = 1607729306

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Least Common Multiple of 40094 and 40099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40094 and 40099, than apply into the LCM equation.

GCF(40094,40099) = 1
LCM(40094,40099) = ( 40094 × 40099) / 1
LCM(40094,40099) = 1607729306 / 1
LCM(40094,40099) = 1607729306

Least Common Multiple (LCM) of 40094 and 40099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40094 and 40099. First we will calculate the prime factors of 40094 and 40099.

Prime Factorization of 40094

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

40094 = 21 × 200471

Prime Factorization of 40099

Prime factors of 40099 are 40099. Prime factorization of 40099 in exponential form is:

40099 = 400991

Now multiplying the highest exponent prime factors to calculate the LCM of 40094 and 40099.

LCM(40094,40099) = 21 × 200471 × 400991
LCM(40094,40099) = 1607729306