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What is the Least Common Multiple of 11997 and 12002?

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 11997 and 12002 is 143987994.

LCM(11997,12002) = 143987994

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Least Common Multiple of 11997 and 12002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11997 and 12002, than apply into the LCM equation.

GCF(11997,12002) = 1
LCM(11997,12002) = ( 11997 × 12002) / 1
LCM(11997,12002) = 143987994 / 1
LCM(11997,12002) = 143987994

Least Common Multiple (LCM) of 11997 and 12002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11997 and 12002. First we will calculate the prime factors of 11997 and 12002.

Prime Factorization of 11997

Prime factors of 11997 are 3, 31, 43. Prime factorization of 11997 in exponential form is:

11997 = 32 × 311 × 431

Prime Factorization of 12002

Prime factors of 12002 are 2, 17, 353. Prime factorization of 12002 in exponential form is:

12002 = 21 × 171 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 11997 and 12002.

LCM(11997,12002) = 32 × 311 × 431 × 21 × 171 × 3531
LCM(11997,12002) = 143987994