Least Common Multiple of 1181 and 1183

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 1183 the smallest integer that is 1397123 that is divisible by both numbers.

Least Common Multiple (LCM) of 1181 and 1183 is 1397123.

LCM(1181,1183) = 1397123

LCM of 1181 and 1183

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

LCM of:
and

Least Common Multiple of 1181 and 1183

LCM of 1181 and 1183 is 1397123

Least common multiple can be found by multiplying the highest exponent prime factors of 1181 and 1183. First we will calculate the prime factors of 1181 and 1183.

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 1183


7 1183
13 169
13 13
1

Prime factors of 1183 are 7,13. Prime factorization of 1183 in exponential form is:

1183 = 71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1181 and 1183.

LCM(1181,1183) = 71×132×11811
LCM(1181,1183) = 1397123

Factors of 1181

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

1, 1181

Factors of 1183

List of positive integer factors of 1183 that divides 1183 without a remainder.

1, 7, 13, 91, 169, 1183

Least Common Multiple of 1181 and 1183 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 1183, than apply into the LCM equation.

GCF(1181,1183) = 1
LCM(1181,1183) = ( 1181 × 1183) / 1
LCM(1181,1183) = 1397123 / 1
LCM(1181,1183) = 1397123

Properties of LCM 1181 and 1183

(i) The LCM of 1183 and 1181 is associative

LCM of 1181 and 1183 = LCM of 1183 and 1181

Related Least Common Multiples of 1181

Related Least Common Multiples of 1183

Frequently Asked Questions on LCM of 1181 and 1183

1. What is the LCM of 1181 and 1183?

Answer: LCM of 1181 and 1183 is 1397123.

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 1183?

Answer: Factors of 1183 are 1, 7, 13, 91, 169, 1183. There are 6 integers that are factors of 1183. The greatest factor of 1183 is 1183.

4. How to Find the LCM of 1181 and 1183?

Answer:

Least Common Multiple of 1181 and 1183 = 1397123

Step 1: Find the prime factorization of 1181

1181 = 1181

Step 2: Find the prime factorization of 1183

1183 = 7 x 13 x 13

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

LCM = 1397123 = 7 x 13 x 13 x 1181

Step 4: Therefore, the least common multiple of 1181 and 1183 is 1397123.