Least Common Multiple of 5989 and 5994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5989 and 5994 the smallest integer that is 35898066 that is divisible by both numbers.

Least Common Multiple (LCM) of 5989 and 5994 is 35898066.

LCM(5989,5994) = 35898066

LCM of 5989 and 5994

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

LCM of:
and

Least Common Multiple of 5989 and 5994

LCM of 5989 and 5994 is 35898066

Least common multiple can be found by multiplying the highest exponent prime factors of 5989 and 5994. First we will calculate the prime factors of 5989 and 5994.

Prime Factorization of 5989


53 5989
113 113
1

Prime factors of 5989 are 53,113. Prime factorization of 5989 in exponential form is:

5989 = 531×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5989 and 5994.

LCM(5989,5994) = 21×34×371×531×1131
LCM(5989,5994) = 35898066

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1, 53, 113, 5989

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

Least Common Multiple of 5989 and 5994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5989 and 5994, than apply into the LCM equation.

GCF(5989,5994) = 1
LCM(5989,5994) = ( 5989 × 5994) / 1
LCM(5989,5994) = 35898066 / 1
LCM(5989,5994) = 35898066

Properties of LCM 5989 and 5994

(i) The LCM of 5994 and 5989 is associative

LCM of 5989 and 5994 = LCM of 5994 and 5989

Related Least Common Multiples of 5989

Related Least Common Multiples of 5994

Frequently Asked Questions on LCM of 5989 and 5994

1. What is the LCM of 5989 and 5994?

Answer: LCM of 5989 and 5994 is 35898066.

2. What are the Factors of 5989?

Answer: Factors of 5989 are 1, 53, 113, 5989. There are 4 integers that are factors of 5989. The greatest factor of 5989 is 5989.

3. 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.

4. How to Find the LCM of 5989 and 5994?

Answer:

Least Common Multiple of 5989 and 5994 = 35898066

Step 1: Find the prime factorization of 5989

5989 = 53 x 113

Step 2: Find the prime factorization of 5994

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

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

LCM = 35898066 = 2 x 3 x 3 x 3 x 3 x 37 x 53 x 113

Step 4: Therefore, the least common multiple of 5989 and 5994 is 35898066.