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What is the Least Common Multiple of 23893 and 23899?

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 23893 and 23899 is 571018807.

LCM(23893,23899) = 571018807

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Least Common Multiple of 23893 and 23899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23893 and 23899, than apply into the LCM equation.

GCF(23893,23899) = 1
LCM(23893,23899) = ( 23893 × 23899) / 1
LCM(23893,23899) = 571018807 / 1
LCM(23893,23899) = 571018807

Least Common Multiple (LCM) of 23893 and 23899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23893 and 23899. First we will calculate the prime factors of 23893 and 23899.

Prime Factorization of 23893

Prime factors of 23893 are 23893. Prime factorization of 23893 in exponential form is:

23893 = 238931

Prime Factorization of 23899

Prime factors of 23899 are 23899. Prime factorization of 23899 in exponential form is:

23899 = 238991

Now multiplying the highest exponent prime factors to calculate the LCM of 23893 and 23899.

LCM(23893,23899) = 238931 × 238991
LCM(23893,23899) = 571018807