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What is the Least Common Multiple of 11863 and 11877?

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 11863 and 11877 is 140896851.

LCM(11863,11877) = 140896851

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Least Common Multiple of 11863 and 11877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11863 and 11877, than apply into the LCM equation.

GCF(11863,11877) = 1
LCM(11863,11877) = ( 11863 × 11877) / 1
LCM(11863,11877) = 140896851 / 1
LCM(11863,11877) = 140896851

Least Common Multiple (LCM) of 11863 and 11877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11863 and 11877. First we will calculate the prime factors of 11863 and 11877.

Prime Factorization of 11863

Prime factors of 11863 are 11863. Prime factorization of 11863 in exponential form is:

11863 = 118631

Prime Factorization of 11877

Prime factors of 11877 are 3, 37, 107. Prime factorization of 11877 in exponential form is:

11877 = 31 × 371 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 11863 and 11877.

LCM(11863,11877) = 118631 × 31 × 371 × 1071
LCM(11863,11877) = 140896851