Least Common Multiple of 5988 and 5996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5988 and 5996 the smallest integer that is 8976012 that is divisible by both numbers.

Least Common Multiple (LCM) of 5988 and 5996 is 8976012.

LCM(5988,5996) = 8976012

LCM of 5988 and 5996

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

LCM of:
and

Least Common Multiple of 5988 and 5996

LCM of 5988 and 5996 is 8976012

Least common multiple can be found by multiplying the highest exponent prime factors of 5988 and 5996. First we will calculate the prime factors of 5988 and 5996.

Prime Factorization of 5988


2 5988
2 2994
3 1497
499 499
1

Prime factors of 5988 are 2, 3,499. Prime factorization of 5988 in exponential form is:

5988 = 22×31×4991

Prime Factorization of 5996


2 5996
2 2998
1499 1499
1

Prime factors of 5996 are 2,1499. Prime factorization of 5996 in exponential form is:

5996 = 22×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 5988 and 5996.

LCM(5988,5996) = 22×31×4991×14991
LCM(5988,5996) = 8976012

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1, 2, 4, 1499, 2998, 5996

Least Common Multiple of 5988 and 5996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5988 and 5996, than apply into the LCM equation.

GCF(5988,5996) = 4
LCM(5988,5996) = ( 5988 × 5996) / 4
LCM(5988,5996) = 35904048 / 4
LCM(5988,5996) = 8976012

Properties of LCM 5988 and 5996

(i) The LCM of 5996 and 5988 is associative

LCM of 5988 and 5996 = LCM of 5996 and 5988

Related Least Common Multiples of 5988

Related Least Common Multiples of 5996

Frequently Asked Questions on LCM of 5988 and 5996

1. What is the LCM of 5988 and 5996?

Answer: LCM of 5988 and 5996 is 8976012.

2. What are the Factors of 5988?

Answer: Factors of 5988 are 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988. There are 12 integers that are factors of 5988. The greatest factor of 5988 is 5988.

3. What are the Factors of 5996?

Answer: Factors of 5996 are 1, 2, 4, 1499, 2998, 5996. There are 6 integers that are factors of 5996. The greatest factor of 5996 is 5996.

4. How to Find the LCM of 5988 and 5996?

Answer:

Least Common Multiple of 5988 and 5996 = 8976012

Step 1: Find the prime factorization of 5988

5988 = 2 x 2 x 3 x 499

Step 2: Find the prime factorization of 5996

5996 = 2 x 2 x 1499

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

LCM = 8976012 = 2 x 2 x 3 x 499 x 1499

Step 4: Therefore, the least common multiple of 5988 and 5996 is 8976012.