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What is the Least Common Multiple of 11992 and 12009?

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 11992 and 12009 is 144011928.

LCM(11992,12009) = 144011928

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Least Common Multiple of 11992 and 12009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11992 and 12009, than apply into the LCM equation.

GCF(11992,12009) = 1
LCM(11992,12009) = ( 11992 × 12009) / 1
LCM(11992,12009) = 144011928 / 1
LCM(11992,12009) = 144011928

Least Common Multiple (LCM) of 11992 and 12009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11992 and 12009. First we will calculate the prime factors of 11992 and 12009.

Prime Factorization of 11992

Prime factors of 11992 are 2, 1499. Prime factorization of 11992 in exponential form is:

11992 = 23 × 14991

Prime Factorization of 12009

Prime factors of 12009 are 3, 4003. Prime factorization of 12009 in exponential form is:

12009 = 31 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 11992 and 12009.

LCM(11992,12009) = 23 × 14991 × 31 × 40031
LCM(11992,12009) = 144011928