Least Common Multiple of 5993 and 5997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5993 and 5997 the smallest integer that is 35940021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5993 and 5997 is 35940021.

LCM(5993,5997) = 35940021

LCM of 5993 and 5997

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5993 and 5997

LCM of 5993 and 5997 is 35940021

Least common multiple can be found by multiplying the highest exponent prime factors of 5993 and 5997. First we will calculate the prime factors of 5993 and 5997.

Prime Factorization of 5993


13 5993
461 461
1

Prime factors of 5993 are 13,461. Prime factorization of 5993 in exponential form is:

5993 = 131×4611

Prime Factorization of 5997


3 5997
1999 1999
1

Prime factors of 5997 are 3,1999. Prime factorization of 5997 in exponential form is:

5997 = 31×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 5993 and 5997.

LCM(5993,5997) = 31×131×4611×19991
LCM(5993,5997) = 35940021

Factors of 5993

List of positive integer factors of 5993 that divides 5993 without a remainder.

1, 13, 461, 5993

Factors of 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1, 3, 1999, 5997

Least Common Multiple of 5993 and 5997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5993 and 5997, than apply into the LCM equation.

GCF(5993,5997) = 1
LCM(5993,5997) = ( 5993 × 5997) / 1
LCM(5993,5997) = 35940021 / 1
LCM(5993,5997) = 35940021

Properties of LCM 5993 and 5997

(i) The LCM of 5997 and 5993 is associative

LCM of 5993 and 5997 = LCM of 5997 and 5993

Related Least Common Multiples of 5993

Related Least Common Multiples of 5997

Frequently Asked Questions on LCM of 5993 and 5997

1. What is the LCM of 5993 and 5997?

Answer: LCM of 5993 and 5997 is 35940021.

2. What are the Factors of 5993?

Answer: Factors of 5993 are 1, 13, 461, 5993. There are 4 integers that are factors of 5993. The greatest factor of 5993 is 5993.

3. What are the Factors of 5997?

Answer: Factors of 5997 are 1, 3, 1999, 5997. There are 4 integers that are factors of 5997. The greatest factor of 5997 is 5997.

4. How to Find the LCM of 5993 and 5997?

Answer:

Least Common Multiple of 5993 and 5997 = 35940021

Step 1: Find the prime factorization of 5993

5993 = 13 x 461

Step 2: Find the prime factorization of 5997

5997 = 3 x 1999

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35940021 = 3 x 13 x 461 x 1999

Step 4: Therefore, the least common multiple of 5993 and 5997 is 35940021.