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What is the Least Common Multiple of 4087 and 4099?

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 4087 and 4099 is 16752613.

LCM(4087,4099) = 16752613

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Least Common Multiple of 4087 and 4099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4087 and 4099, than apply into the LCM equation.

GCF(4087,4099) = 1
LCM(4087,4099) = ( 4087 × 4099) / 1
LCM(4087,4099) = 16752613 / 1
LCM(4087,4099) = 16752613

Least Common Multiple (LCM) of 4087 and 4099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4087 and 4099. First we will calculate the prime factors of 4087 and 4099.

Prime Factorization of 4087

Prime factors of 4087 are 61, 67. Prime factorization of 4087 in exponential form is:

4087 = 611 × 671

Prime Factorization of 4099

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

4099 = 40991

Now multiplying the highest exponent prime factors to calculate the LCM of 4087 and 4099.

LCM(4087,4099) = 611 × 671 × 40991
LCM(4087,4099) = 16752613