Least Common Multiple of 5992 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 5992 and 5996 the smallest integer that is 8982008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5992 and 5996 is 8982008.

LCM(5992,5996) = 8982008

LCM of 5992 and 5996

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

LCM of:
and

Least Common Multiple of 5992 and 5996

LCM of 5992 and 5996 is 8982008

Least common multiple can be found by multiplying the highest exponent prime factors of 5992 and 5996. First we will calculate the prime factors of 5992 and 5996.

Prime Factorization of 5992


2 5992
2 2996
2 1498
7 749
107 107
1

Prime factors of 5992 are 2, 7,107. Prime factorization of 5992 in exponential form is:

5992 = 23×71×1071

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 5992 and 5996.

LCM(5992,5996) = 23×71×1071×14991
LCM(5992,5996) = 8982008

Factors of 5992

List of positive integer factors of 5992 that divides 5992 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992

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 5992 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 5992 and 5996, than apply into the LCM equation.

GCF(5992,5996) = 4
LCM(5992,5996) = ( 5992 × 5996) / 4
LCM(5992,5996) = 35928032 / 4
LCM(5992,5996) = 8982008

Properties of LCM 5992 and 5996

(i) The LCM of 5996 and 5992 is associative

LCM of 5992 and 5996 = LCM of 5996 and 5992

Related Least Common Multiples of 5992

Related Least Common Multiples of 5996

Frequently Asked Questions on LCM of 5992 and 5996

1. What is the LCM of 5992 and 5996?

Answer: LCM of 5992 and 5996 is 8982008.

2. What are the Factors of 5992?

Answer: Factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992. There are 16 integers that are factors of 5992. The greatest factor of 5992 is 5992.

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 5992 and 5996?

Answer:

Least Common Multiple of 5992 and 5996 = 8982008

Step 1: Find the prime factorization of 5992

5992 = 2 x 2 x 2 x 7 x 107

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 = 8982008 = 2 x 2 x 2 x 7 x 107 x 1499

Step 4: Therefore, the least common multiple of 5992 and 5996 is 8982008.