Least Common Multiple of 5984 and 5989

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 5989 the smallest integer that is 35838176 that is divisible by both numbers.

Least Common Multiple (LCM) of 5984 and 5989 is 35838176.

LCM(5984,5989) = 35838176

LCM of 5984 and 5989

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

LCM of:
and

Least Common Multiple of 5984 and 5989

LCM of 5984 and 5989 is 35838176

Least common multiple can be found by multiplying the highest exponent prime factors of 5984 and 5989. First we will calculate the prime factors of 5984 and 5989.

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 5989


53 5989
113 113
1

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

5989 = 531×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5984 and 5989.

LCM(5984,5989) = 25×111×171×531×1131
LCM(5984,5989) = 35838176

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 5989

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

1, 53, 113, 5989

Least Common Multiple of 5984 and 5989 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 5989, than apply into the LCM equation.

GCF(5984,5989) = 1
LCM(5984,5989) = ( 5984 × 5989) / 1
LCM(5984,5989) = 35838176 / 1
LCM(5984,5989) = 35838176

Properties of LCM 5984 and 5989

(i) The LCM of 5989 and 5984 is associative

LCM of 5984 and 5989 = LCM of 5989 and 5984

Related Least Common Multiples of 5984

Related Least Common Multiples of 5989

Frequently Asked Questions on LCM of 5984 and 5989

1. What is the LCM of 5984 and 5989?

Answer: LCM of 5984 and 5989 is 35838176.

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 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.

4. How to Find the LCM of 5984 and 5989?

Answer:

Least Common Multiple of 5984 and 5989 = 35838176

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 5989

5989 = 53 x 113

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

LCM = 35838176 = 2 x 2 x 2 x 2 x 2 x 11 x 17 x 53 x 113

Step 4: Therefore, the least common multiple of 5984 and 5989 is 35838176.