Least Common Multiple of 5992 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 5992 and 5997 the smallest integer that is 35934024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5992 and 5997 is 35934024.

LCM(5992,5997) = 35934024

LCM of 5992 and 5997

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

LCM of:
and

Least Common Multiple of 5992 and 5997

LCM of 5992 and 5997 is 35934024

Least common multiple can be found by multiplying the highest exponent prime factors of 5992 and 5997. First we will calculate the prime factors of 5992 and 5997.

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 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 5992 and 5997.

LCM(5992,5997) = 23×31×71×1071×19991
LCM(5992,5997) = 35934024

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 5997

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

1, 3, 1999, 5997

Least Common Multiple of 5992 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 5992 and 5997, than apply into the LCM equation.

GCF(5992,5997) = 1
LCM(5992,5997) = ( 5992 × 5997) / 1
LCM(5992,5997) = 35934024 / 1
LCM(5992,5997) = 35934024

Properties of LCM 5992 and 5997

(i) The LCM of 5997 and 5992 is associative

LCM of 5992 and 5997 = LCM of 5997 and 5992

Related Least Common Multiples of 5992

Related Least Common Multiples of 5997

Frequently Asked Questions on LCM of 5992 and 5997

1. What is the LCM of 5992 and 5997?

Answer: LCM of 5992 and 5997 is 35934024.

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 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 5992 and 5997?

Answer:

Least Common Multiple of 5992 and 5997 = 35934024

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 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 = 35934024 = 2 x 2 x 2 x 3 x 7 x 107 x 1999

Step 4: Therefore, the least common multiple of 5992 and 5997 is 35934024.