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What is the Least Common Multiple of 11981 and 12000?

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 11981 and 12000 is 143772000.

LCM(11981,12000) = 143772000

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Least Common Multiple of 11981 and 12000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11981 and 12000, than apply into the LCM equation.

GCF(11981,12000) = 1
LCM(11981,12000) = ( 11981 × 12000) / 1
LCM(11981,12000) = 143772000 / 1
LCM(11981,12000) = 143772000

Least Common Multiple (LCM) of 11981 and 12000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11981 and 12000. First we will calculate the prime factors of 11981 and 12000.

Prime Factorization of 11981

Prime factors of 11981 are 11981. Prime factorization of 11981 in exponential form is:

11981 = 119811

Prime Factorization of 12000

Prime factors of 12000 are 2, 3, 5. Prime factorization of 12000 in exponential form is:

12000 = 25 × 31 × 53

Now multiplying the highest exponent prime factors to calculate the LCM of 11981 and 12000.

LCM(11981,12000) = 119811 × 25 × 31 × 53
LCM(11981,12000) = 143772000