Least Common Multiple of 1180 and 1186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1180 and 1186 the smallest integer that is 699740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1180 and 1186 is 699740.

LCM(1180,1186) = 699740

LCM of 1180 and 1186

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

LCM of:
and

Least Common Multiple of 1180 and 1186

LCM of 1180 and 1186 is 699740

Least common multiple can be found by multiplying the highest exponent prime factors of 1180 and 1186. First we will calculate the prime factors of 1180 and 1186.

Prime Factorization of 1180


2 1180
2 590
5 295
59 59
1

Prime factors of 1180 are 2, 5,59. Prime factorization of 1180 in exponential form is:

1180 = 22×51×591

Prime Factorization of 1186


2 1186
593 593
1

Prime factors of 1186 are 2,593. Prime factorization of 1186 in exponential form is:

1186 = 21×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 1180 and 1186.

LCM(1180,1186) = 22×51×591×5931
LCM(1180,1186) = 699740

Factors of 1180

List of positive integer factors of 1180 that divides 1180 without a remainder.

1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

Factors of 1186

List of positive integer factors of 1186 that divides 1186 without a remainder.

1, 2, 593, 1186

Least Common Multiple of 1180 and 1186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1180 and 1186, than apply into the LCM equation.

GCF(1180,1186) = 2
LCM(1180,1186) = ( 1180 × 1186) / 2
LCM(1180,1186) = 1399480 / 2
LCM(1180,1186) = 699740

Properties of LCM 1180 and 1186

(i) The LCM of 1186 and 1180 is associative

LCM of 1180 and 1186 = LCM of 1186 and 1180

Related Least Common Multiples of 1180

Related Least Common Multiples of 1186

Frequently Asked Questions on LCM of 1180 and 1186

1. What is the LCM of 1180 and 1186?

Answer: LCM of 1180 and 1186 is 699740.

2. What are the Factors of 1180?

Answer: Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180. There are 12 integers that are factors of 1180. The greatest factor of 1180 is 1180.

3. What are the Factors of 1186?

Answer: Factors of 1186 are 1, 2, 593, 1186. There are 4 integers that are factors of 1186. The greatest factor of 1186 is 1186.

4. How to Find the LCM of 1180 and 1186?

Answer:

Least Common Multiple of 1180 and 1186 = 699740

Step 1: Find the prime factorization of 1180

1180 = 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 1186

1186 = 2 x 593

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

LCM = 699740 = 2 x 2 x 5 x 59 x 593

Step 4: Therefore, the least common multiple of 1180 and 1186 is 699740.