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What is the Least Common Multiple of 11859 and 11868?

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 11859 and 11868 is 46914204.

LCM(11859,11868) = 46914204

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Least Common Multiple of 11859 and 11868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11859 and 11868, than apply into the LCM equation.

GCF(11859,11868) = 3
LCM(11859,11868) = ( 11859 × 11868) / 3
LCM(11859,11868) = 140742612 / 3
LCM(11859,11868) = 46914204

Least Common Multiple (LCM) of 11859 and 11868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11859 and 11868. First we will calculate the prime factors of 11859 and 11868.

Prime Factorization of 11859

Prime factors of 11859 are 3, 59, 67. Prime factorization of 11859 in exponential form is:

11859 = 31 × 591 × 671

Prime Factorization of 11868

Prime factors of 11868 are 2, 3, 23, 43. Prime factorization of 11868 in exponential form is:

11868 = 22 × 31 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 11859 and 11868.

LCM(11859,11868) = 31 × 591 × 671 × 22 × 231 × 431
LCM(11859,11868) = 46914204