Least Common Multiple of 5991 and 5998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5991 and 5998 the smallest integer that is 35934018 that is divisible by both numbers.

Least Common Multiple (LCM) of 5991 and 5998 is 35934018.

LCM(5991,5998) = 35934018

LCM of 5991 and 5998

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

LCM of:
and

Least Common Multiple of 5991 and 5998

LCM of 5991 and 5998 is 35934018

Least common multiple can be found by multiplying the highest exponent prime factors of 5991 and 5998. First we will calculate the prime factors of 5991 and 5998.

Prime Factorization of 5991


3 5991
1997 1997
1

Prime factors of 5991 are 3,1997. Prime factorization of 5991 in exponential form is:

5991 = 31×19971

Prime Factorization of 5998


2 5998
2999 2999
1

Prime factors of 5998 are 2,2999. Prime factorization of 5998 in exponential form is:

5998 = 21×29991

Now multiplying the highest exponent prime factors to calculate the LCM of 5991 and 5998.

LCM(5991,5998) = 21×31×19971×29991
LCM(5991,5998) = 35934018

Factors of 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1, 3, 1997, 5991

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1, 2, 2999, 5998

Least Common Multiple of 5991 and 5998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5991 and 5998, than apply into the LCM equation.

GCF(5991,5998) = 1
LCM(5991,5998) = ( 5991 × 5998) / 1
LCM(5991,5998) = 35934018 / 1
LCM(5991,5998) = 35934018

Properties of LCM 5991 and 5998

(i) The LCM of 5998 and 5991 is associative

LCM of 5991 and 5998 = LCM of 5998 and 5991

Related Least Common Multiples of 5991

Related Least Common Multiples of 5998

Frequently Asked Questions on LCM of 5991 and 5998

1. What is the LCM of 5991 and 5998?

Answer: LCM of 5991 and 5998 is 35934018.

2. What are the Factors of 5991?

Answer: Factors of 5991 are 1, 3, 1997, 5991. There are 4 integers that are factors of 5991. The greatest factor of 5991 is 5991.

3. What are the Factors of 5998?

Answer: Factors of 5998 are 1, 2, 2999, 5998. There are 4 integers that are factors of 5998. The greatest factor of 5998 is 5998.

4. How to Find the LCM of 5991 and 5998?

Answer:

Least Common Multiple of 5991 and 5998 = 35934018

Step 1: Find the prime factorization of 5991

5991 = 3 x 1997

Step 2: Find the prime factorization of 5998

5998 = 2 x 2999

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

LCM = 35934018 = 2 x 3 x 1997 x 2999

Step 4: Therefore, the least common multiple of 5991 and 5998 is 35934018.