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What is the Least Common Multiple of 5983 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 5983 and 6002 is 35909966.

LCM(5983,6002) = 35909966

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Least Common Multiple of 5983 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 5983 and 6002, than apply into the LCM equation.

GCF(5983,6002) = 1
LCM(5983,6002) = ( 5983 × 6002) / 1
LCM(5983,6002) = 35909966 / 1
LCM(5983,6002) = 35909966

Least Common Multiple (LCM) of 5983 and 6002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5983 and 6002. First we will calculate the prime factors of 5983 and 6002.

Prime Factorization of 5983

Prime factors of 5983 are 31, 193. Prime factorization of 5983 in exponential form is:

5983 = 311 × 1931

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 5983 and 6002.

LCM(5983,6002) = 311 × 1931 × 21 × 30011
LCM(5983,6002) = 35909966