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What is the Least Common Multiple of 4099 and 4107?

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 4099 and 4107 is 16834593.

LCM(4099,4107) = 16834593

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Least Common Multiple of 4099 and 4107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4099 and 4107, than apply into the LCM equation.

GCF(4099,4107) = 1
LCM(4099,4107) = ( 4099 × 4107) / 1
LCM(4099,4107) = 16834593 / 1
LCM(4099,4107) = 16834593

Least Common Multiple (LCM) of 4099 and 4107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4099 and 4107. First we will calculate the prime factors of 4099 and 4107.

Prime Factorization of 4099

Prime factors of 4099 are 4099. Prime factorization of 4099 in exponential form is:

4099 = 40991

Prime Factorization of 4107

Prime factors of 4107 are 3, 37. Prime factorization of 4107 in exponential form is:

4107 = 31 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 4099 and 4107.

LCM(4099,4107) = 40991 × 31 × 372
LCM(4099,4107) = 16834593