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What is the Least Common Multiple of 11986 and 12005?

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 11986 and 12005 is 143891930.

LCM(11986,12005) = 143891930

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Least Common Multiple of 11986 and 12005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11986 and 12005, than apply into the LCM equation.

GCF(11986,12005) = 1
LCM(11986,12005) = ( 11986 × 12005) / 1
LCM(11986,12005) = 143891930 / 1
LCM(11986,12005) = 143891930

Least Common Multiple (LCM) of 11986 and 12005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11986 and 12005. First we will calculate the prime factors of 11986 and 12005.

Prime Factorization of 11986

Prime factors of 11986 are 2, 13, 461. Prime factorization of 11986 in exponential form is:

11986 = 21 × 131 × 4611

Prime Factorization of 12005

Prime factors of 12005 are 5, 7. Prime factorization of 12005 in exponential form is:

12005 = 51 × 74

Now multiplying the highest exponent prime factors to calculate the LCM of 11986 and 12005.

LCM(11986,12005) = 21 × 131 × 4611 × 51 × 74
LCM(11986,12005) = 143891930