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What is the Least Common Multiple of 5994 and 6002?

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 5994 and 6002 is 17987994.

LCM(5994,6002) = 17987994

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Least Common Multiple of 5994 and 6002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5994 and 6002, than apply into the LCM equation.

GCF(5994,6002) = 2
LCM(5994,6002) = ( 5994 × 6002) / 2
LCM(5994,6002) = 35975988 / 2
LCM(5994,6002) = 17987994

Least Common Multiple (LCM) of 5994 and 6002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5994 and 6002. First we will calculate the prime factors of 5994 and 6002.

Prime Factorization of 5994

Prime factors of 5994 are 2, 3, 37. Prime factorization of 5994 in exponential form is:

5994 = 21 × 34 × 371

Prime Factorization of 6002

Prime factors of 6002 are 2, 3001. Prime factorization of 6002 in exponential form is:

6002 = 21 × 30011

Now multiplying the highest exponent prime factors to calculate the LCM of 5994 and 6002.

LCM(5994,6002) = 21 × 34 × 371 × 30011
LCM(5994,6002) = 17987994