Least Common Multiple of 1181 and 1188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1181 and 1188 the smallest integer that is 1403028 that is divisible by both numbers.

Least Common Multiple (LCM) of 1181 and 1188 is 1403028.

LCM(1181,1188) = 1403028

LCM of 1181 and 1188

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

LCM of:
and

Least Common Multiple of 1181 and 1188

LCM of 1181 and 1188 is 1403028

Least common multiple can be found by multiplying the highest exponent prime factors of 1181 and 1188. First we will calculate the prime factors of 1181 and 1188.

Prime Factorization of 1181


1181 1181
1

Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:

1181 = 11811

Prime Factorization of 1188


2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 1188 are 2, 3,11. Prime factorization of 1188 in exponential form is:

1188 = 22×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1181 and 1188.

LCM(1181,1188) = 22×33×111×11811
LCM(1181,1188) = 1403028

Factors of 1181

List of positive integer factors of 1181 that divides 1181 without a remainder.

1, 1181

Factors of 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188

Least Common Multiple of 1181 and 1188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1181 and 1188, than apply into the LCM equation.

GCF(1181,1188) = 1
LCM(1181,1188) = ( 1181 × 1188) / 1
LCM(1181,1188) = 1403028 / 1
LCM(1181,1188) = 1403028

Properties of LCM 1181 and 1188

(i) The LCM of 1188 and 1181 is associative

LCM of 1181 and 1188 = LCM of 1188 and 1181

Related Least Common Multiples of 1181

Related Least Common Multiples of 1188

Frequently Asked Questions on LCM of 1181 and 1188

1. What is the LCM of 1181 and 1188?

Answer: LCM of 1181 and 1188 is 1403028.

2. What are the Factors of 1181?

Answer: Factors of 1181 are 1, 1181. There are 2 integers that are factors of 1181. The greatest factor of 1181 is 1181.

3. What are the Factors of 1188?

Answer: Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. There are 24 integers that are factors of 1188. The greatest factor of 1188 is 1188.

4. How to Find the LCM of 1181 and 1188?

Answer:

Least Common Multiple of 1181 and 1188 = 1403028

Step 1: Find the prime factorization of 1181

1181 = 1181

Step 2: Find the prime factorization of 1188

1188 = 2 x 2 x 3 x 3 x 3 x 11

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

LCM = 1403028 = 2 x 2 x 3 x 3 x 3 x 11 x 1181

Step 4: Therefore, the least common multiple of 1181 and 1188 is 1403028.