Least Common Multiple of 5980 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 5980 and 5985 the smallest integer that is 7158060 that is divisible by both numbers.

Least Common Multiple (LCM) of 5980 and 5985 is 7158060.

LCM(5980,5985) = 7158060

LCM of 5980 and 5985

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

LCM of:
and

Least Common Multiple of 5980 and 5985

LCM of 5980 and 5985 is 7158060

Least common multiple can be found by multiplying the highest exponent prime factors of 5980 and 5985. First we will calculate the prime factors of 5980 and 5985.

Prime Factorization of 5980


2 5980
2 2990
5 1495
13 299
23 23
1

Prime factors of 5980 are 2, 5, 13,23. Prime factorization of 5980 in exponential form is:

5980 = 22×51×131×231

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 5980 and 5985.

LCM(5980,5985) = 22×32×51×71×131×191×231
LCM(5980,5985) = 7158060

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980

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 5980 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 5980 and 5985, than apply into the LCM equation.

GCF(5980,5985) = 5
LCM(5980,5985) = ( 5980 × 5985) / 5
LCM(5980,5985) = 35790300 / 5
LCM(5980,5985) = 7158060

Properties of LCM 5980 and 5985

(i) The LCM of 5985 and 5980 is associative

LCM of 5980 and 5985 = LCM of 5985 and 5980

Related Least Common Multiples of 5980

Related Least Common Multiples of 5985

Frequently Asked Questions on LCM of 5980 and 5985

1. What is the LCM of 5980 and 5985?

Answer: LCM of 5980 and 5985 is 7158060.

2. What are the Factors of 5980?

Answer: Factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980. There are 24 integers that are factors of 5980. The greatest factor of 5980 is 5980.

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 5980 and 5985?

Answer:

Least Common Multiple of 5980 and 5985 = 7158060

Step 1: Find the prime factorization of 5980

5980 = 2 x 2 x 5 x 13 x 23

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 = 7158060 = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 5980 and 5985 is 7158060.