Least Common Multiple of 5992 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 5992 and 5998 the smallest integer that is 17970008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5992 and 5998 is 17970008.

LCM(5992,5998) = 17970008

LCM of 5992 and 5998

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

LCM of:
and

Least Common Multiple of 5992 and 5998

LCM of 5992 and 5998 is 17970008

Least common multiple can be found by multiplying the highest exponent prime factors of 5992 and 5998. First we will calculate the prime factors of 5992 and 5998.

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 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 5992 and 5998.

LCM(5992,5998) = 23×71×1071×29991
LCM(5992,5998) = 17970008

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 5998

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

1, 2, 2999, 5998

Least Common Multiple of 5992 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 5992 and 5998, than apply into the LCM equation.

GCF(5992,5998) = 2
LCM(5992,5998) = ( 5992 × 5998) / 2
LCM(5992,5998) = 35940016 / 2
LCM(5992,5998) = 17970008

Properties of LCM 5992 and 5998

(i) The LCM of 5998 and 5992 is associative

LCM of 5992 and 5998 = LCM of 5998 and 5992

Related Least Common Multiples of 5992

Related Least Common Multiples of 5998

Frequently Asked Questions on LCM of 5992 and 5998

1. What is the LCM of 5992 and 5998?

Answer: LCM of 5992 and 5998 is 17970008.

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 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 5992 and 5998?

Answer:

Least Common Multiple of 5992 and 5998 = 17970008

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 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 = 17970008 = 2 x 2 x 2 x 7 x 107 x 2999

Step 4: Therefore, the least common multiple of 5992 and 5998 is 17970008.