Least Common Multiple of 5981 and 5985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5981 and 5985 the smallest integer that is 35796285 that is divisible by both numbers.

Least Common Multiple (LCM) of 5981 and 5985 is 35796285.

LCM(5981,5985) = 35796285

LCM of 5981 and 5985

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

LCM of:
and

Least Common Multiple of 5981 and 5985

LCM of 5981 and 5985 is 35796285

Least common multiple can be found by multiplying the highest exponent prime factors of 5981 and 5985. First we will calculate the prime factors of 5981 and 5985.

Prime Factorization of 5981


5981 5981
1

Prime factors of 5981 are 5981. Prime factorization of 5981 in exponential form is:

5981 = 59811

Prime Factorization of 5985


3 5985
3 1995
5 665
7 133
19 19
1

Prime factors of 5985 are 3, 5, 7,19. Prime factorization of 5985 in exponential form is:

5985 = 32×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5981 and 5985.

LCM(5981,5985) = 32×51×71×191×59811
LCM(5981,5985) = 35796285

Factors of 5981

List of positive integer factors of 5981 that divides 5981 without a remainder.

1, 5981

Factors of 5985

List of positive integer factors of 5985 that divides 5985 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985

Least Common Multiple of 5981 and 5985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5981 and 5985, than apply into the LCM equation.

GCF(5981,5985) = 1
LCM(5981,5985) = ( 5981 × 5985) / 1
LCM(5981,5985) = 35796285 / 1
LCM(5981,5985) = 35796285

Properties of LCM 5981 and 5985

(i) The LCM of 5985 and 5981 is associative

LCM of 5981 and 5985 = LCM of 5985 and 5981

Related Least Common Multiples of 5981

Related Least Common Multiples of 5985

Frequently Asked Questions on LCM of 5981 and 5985

1. What is the LCM of 5981 and 5985?

Answer: LCM of 5981 and 5985 is 35796285.

2. What are the Factors of 5981?

Answer: Factors of 5981 are 1, 5981. There are 2 integers that are factors of 5981. The greatest factor of 5981 is 5981.

3. What are the Factors of 5985?

Answer: Factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985. There are 24 integers that are factors of 5985. The greatest factor of 5985 is 5985.

4. How to Find the LCM of 5981 and 5985?

Answer:

Least Common Multiple of 5981 and 5985 = 35796285

Step 1: Find the prime factorization of 5981

5981 = 5981

Step 2: Find the prime factorization of 5985

5985 = 3 x 3 x 5 x 7 x 19

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

LCM = 35796285 = 3 x 3 x 5 x 7 x 19 x 5981

Step 4: Therefore, the least common multiple of 5981 and 5985 is 35796285.