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What is the Least Common Multiple of 11893 and 11899?

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 11893 and 11899 is 141514807.

LCM(11893,11899) = 141514807

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Least Common Multiple of 11893 and 11899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11893 and 11899, than apply into the LCM equation.

GCF(11893,11899) = 1
LCM(11893,11899) = ( 11893 × 11899) / 1
LCM(11893,11899) = 141514807 / 1
LCM(11893,11899) = 141514807

Least Common Multiple (LCM) of 11893 and 11899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11893 and 11899. First we will calculate the prime factors of 11893 and 11899.

Prime Factorization of 11893

Prime factors of 11893 are 7, 1699. Prime factorization of 11893 in exponential form is:

11893 = 71 × 16991

Prime Factorization of 11899

Prime factors of 11899 are 73, 163. Prime factorization of 11899 in exponential form is:

11899 = 731 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 11893 and 11899.

LCM(11893,11899) = 71 × 16991 × 731 × 1631
LCM(11893,11899) = 141514807