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What is the Least Common Multiple of 11859 and 11869?

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 11869 is 140754471.

LCM(11859,11869) = 140754471

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Least Common Multiple of 11859 and 11869 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 11869, than apply into the LCM equation.

GCF(11859,11869) = 1
LCM(11859,11869) = ( 11859 × 11869) / 1
LCM(11859,11869) = 140754471 / 1
LCM(11859,11869) = 140754471

Least Common Multiple (LCM) of 11859 and 11869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11859 and 11869. First we will calculate the prime factors of 11859 and 11869.

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 11869

Prime factors of 11869 are 11, 13, 83. Prime factorization of 11869 in exponential form is:

11869 = 111 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 11859 and 11869.

LCM(11859,11869) = 31 × 591 × 671 × 111 × 131 × 831
LCM(11859,11869) = 140754471