Least Common Multiple of 5994 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 5994 and 5998 the smallest integer that is 17976006 that is divisible by both numbers.

Least Common Multiple (LCM) of 5994 and 5998 is 17976006.

LCM(5994,5998) = 17976006

LCM of 5994 and 5998

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

LCM of:
and

Least Common Multiple of 5994 and 5998

LCM of 5994 and 5998 is 17976006

Least common multiple can be found by multiplying the highest exponent prime factors of 5994 and 5998. First we will calculate the prime factors of 5994 and 5998.

Prime Factorization of 5994


2 5994
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 5994 are 2, 3,37. Prime factorization of 5994 in exponential form is:

5994 = 21×34×371

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 5994 and 5998.

LCM(5994,5998) = 21×34×371×29991
LCM(5994,5998) = 17976006

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994

Factors of 5998

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

1, 2, 2999, 5998

Least Common Multiple of 5994 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 5994 and 5998, than apply into the LCM equation.

GCF(5994,5998) = 2
LCM(5994,5998) = ( 5994 × 5998) / 2
LCM(5994,5998) = 35952012 / 2
LCM(5994,5998) = 17976006

Properties of LCM 5994 and 5998

(i) The LCM of 5998 and 5994 is associative

LCM of 5994 and 5998 = LCM of 5998 and 5994

Related Least Common Multiples of 5994

Related Least Common Multiples of 5998

Frequently Asked Questions on LCM of 5994 and 5998

1. What is the LCM of 5994 and 5998?

Answer: LCM of 5994 and 5998 is 17976006.

2. What are the Factors of 5994?

Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.

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 5994 and 5998?

Answer:

Least Common Multiple of 5994 and 5998 = 17976006

Step 1: Find the prime factorization of 5994

5994 = 2 x 3 x 3 x 3 x 3 x 37

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 = 17976006 = 2 x 3 x 3 x 3 x 3 x 37 x 2999

Step 4: Therefore, the least common multiple of 5994 and 5998 is 17976006.