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What is the Least Common Multiple of 11867 and 11881?

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 11867 and 11881 is 140991827.

LCM(11867,11881) = 140991827

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Least Common Multiple of 11867 and 11881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11867 and 11881, than apply into the LCM equation.

GCF(11867,11881) = 1
LCM(11867,11881) = ( 11867 × 11881) / 1
LCM(11867,11881) = 140991827 / 1
LCM(11867,11881) = 140991827

Least Common Multiple (LCM) of 11867 and 11881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11867 and 11881. First we will calculate the prime factors of 11867 and 11881.

Prime Factorization of 11867

Prime factors of 11867 are 11867. Prime factorization of 11867 in exponential form is:

11867 = 118671

Prime Factorization of 11881

Prime factors of 11881 are 109. Prime factorization of 11881 in exponential form is:

11881 = 1092

Now multiplying the highest exponent prime factors to calculate the LCM of 11867 and 11881.

LCM(11867,11881) = 118671 × 1092
LCM(11867,11881) = 140991827