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What is the Least Common Multiple of 11985 and 12001?

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 11985 and 12001 is 143831985.

LCM(11985,12001) = 143831985

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Least Common Multiple of 11985 and 12001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11985 and 12001, than apply into the LCM equation.

GCF(11985,12001) = 1
LCM(11985,12001) = ( 11985 × 12001) / 1
LCM(11985,12001) = 143831985 / 1
LCM(11985,12001) = 143831985

Least Common Multiple (LCM) of 11985 and 12001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11985 and 12001. First we will calculate the prime factors of 11985 and 12001.

Prime Factorization of 11985

Prime factors of 11985 are 3, 5, 17, 47. Prime factorization of 11985 in exponential form is:

11985 = 31 × 51 × 171 × 471

Prime Factorization of 12001

Prime factors of 12001 are 11, 1091. Prime factorization of 12001 in exponential form is:

12001 = 111 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 11985 and 12001.

LCM(11985,12001) = 31 × 51 × 171 × 471 × 111 × 10911
LCM(11985,12001) = 143831985