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What is the Least Common Multiple of 11881 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 11881 and 11899 is 141372019.

LCM(11881,11899) = 141372019

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Least Common Multiple of 11881 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 11881 and 11899, than apply into the LCM equation.

GCF(11881,11899) = 1
LCM(11881,11899) = ( 11881 × 11899) / 1
LCM(11881,11899) = 141372019 / 1
LCM(11881,11899) = 141372019

Least Common Multiple (LCM) of 11881 and 11899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11881 and 11899. First we will calculate the prime factors of 11881 and 11899.

Prime Factorization of 11881

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

11881 = 1092

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 11881 and 11899.

LCM(11881,11899) = 1092 × 731 × 1631
LCM(11881,11899) = 141372019