GCF and LCM Calculator Logo

What is the Least Common Multiple of 5989 and 6001?

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 5989 and 6001 is 35939989.

LCM(5989,6001) = 35939989

LCM Calculator and
and

Least Common Multiple of 5989 and 6001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5989 and 6001, than apply into the LCM equation.

GCF(5989,6001) = 1
LCM(5989,6001) = ( 5989 × 6001) / 1
LCM(5989,6001) = 35939989 / 1
LCM(5989,6001) = 35939989

Least Common Multiple (LCM) of 5989 and 6001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5989 and 6001. First we will calculate the prime factors of 5989 and 6001.

Prime Factorization of 5989

Prime factors of 5989 are 53, 113. Prime factorization of 5989 in exponential form is:

5989 = 531 × 1131

Prime Factorization of 6001

Prime factors of 6001 are 17, 353. Prime factorization of 6001 in exponential form is:

6001 = 171 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 5989 and 6001.

LCM(5989,6001) = 531 × 1131 × 171 × 3531
LCM(5989,6001) = 35939989