Least Common Multiple of 5984 and 5992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5984 and 5992 the smallest integer that is 4482016 that is divisible by both numbers.

Least Common Multiple (LCM) of 5984 and 5992 is 4482016.

LCM(5984,5992) = 4482016

LCM of 5984 and 5992

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

LCM of:
and

Least Common Multiple of 5984 and 5992

LCM of 5984 and 5992 is 4482016

Least common multiple can be found by multiplying the highest exponent prime factors of 5984 and 5992. First we will calculate the prime factors of 5984 and 5992.

Prime Factorization of 5984


2 5984
2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 5984 are 2, 11,17. Prime factorization of 5984 in exponential form is:

5984 = 25×111×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5984 and 5992.

LCM(5984,5992) = 25×71×111×171×1071
LCM(5984,5992) = 4482016

Factors of 5984

List of positive integer factors of 5984 that divides 5984 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984

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

Least Common Multiple of 5984 and 5992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5984 and 5992, than apply into the LCM equation.

GCF(5984,5992) = 8
LCM(5984,5992) = ( 5984 × 5992) / 8
LCM(5984,5992) = 35856128 / 8
LCM(5984,5992) = 4482016

Properties of LCM 5984 and 5992

(i) The LCM of 5992 and 5984 is associative

LCM of 5984 and 5992 = LCM of 5992 and 5984

Related Least Common Multiples of 5984

Related Least Common Multiples of 5992

Frequently Asked Questions on LCM of 5984 and 5992

1. What is the LCM of 5984 and 5992?

Answer: LCM of 5984 and 5992 is 4482016.

2. What are the Factors of 5984?

Answer: Factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. There are 24 integers that are factors of 5984. The greatest factor of 5984 is 5984.

3. 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.

4. How to Find the LCM of 5984 and 5992?

Answer:

Least Common Multiple of 5984 and 5992 = 4482016

Step 1: Find the prime factorization of 5984

5984 = 2 x 2 x 2 x 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 5992

5992 = 2 x 2 x 2 x 7 x 107

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

LCM = 4482016 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 17 x 107

Step 4: Therefore, the least common multiple of 5984 and 5992 is 4482016.