GCF and LCM Calculator Logo

What is the Least Common Multiple of 5995 and 6008?

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 5995 and 6008 is 36017960.

LCM(5995,6008) = 36017960

LCM Calculator and
and

Least Common Multiple of 5995 and 6008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5995 and 6008, than apply into the LCM equation.

GCF(5995,6008) = 1
LCM(5995,6008) = ( 5995 × 6008) / 1
LCM(5995,6008) = 36017960 / 1
LCM(5995,6008) = 36017960

Least Common Multiple (LCM) of 5995 and 6008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5995 and 6008. First we will calculate the prime factors of 5995 and 6008.

Prime Factorization of 5995

Prime factors of 5995 are 5, 11, 109. Prime factorization of 5995 in exponential form is:

5995 = 51 × 111 × 1091

Prime Factorization of 6008

Prime factors of 6008 are 2, 751. Prime factorization of 6008 in exponential form is:

6008 = 23 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 5995 and 6008.

LCM(5995,6008) = 51 × 111 × 1091 × 23 × 7511
LCM(5995,6008) = 36017960