Least Common Multiple of 1181 and 1185

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 1185 the smallest integer that is 1399485 that is divisible by both numbers.

Least Common Multiple (LCM) of 1181 and 1185 is 1399485.

LCM(1181,1185) = 1399485

LCM of 1181 and 1185

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

LCM of:
and

Least Common Multiple of 1181 and 1185

LCM of 1181 and 1185 is 1399485

Least common multiple can be found by multiplying the highest exponent prime factors of 1181 and 1185. First we will calculate the prime factors of 1181 and 1185.

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 1185


3 1185
5 395
79 79
1

Prime factors of 1185 are 3, 5,79. Prime factorization of 1185 in exponential form is:

1185 = 31×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1181 and 1185.

LCM(1181,1185) = 31×51×791×11811
LCM(1181,1185) = 1399485

Factors of 1181

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

1, 1181

Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1, 3, 5, 15, 79, 237, 395, 1185

Least Common Multiple of 1181 and 1185 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 1185, than apply into the LCM equation.

GCF(1181,1185) = 1
LCM(1181,1185) = ( 1181 × 1185) / 1
LCM(1181,1185) = 1399485 / 1
LCM(1181,1185) = 1399485

Properties of LCM 1181 and 1185

(i) The LCM of 1185 and 1181 is associative

LCM of 1181 and 1185 = LCM of 1185 and 1181

Related Least Common Multiples of 1181

Related Least Common Multiples of 1185

Frequently Asked Questions on LCM of 1181 and 1185

1. What is the LCM of 1181 and 1185?

Answer: LCM of 1181 and 1185 is 1399485.

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 1185?

Answer: Factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185. There are 8 integers that are factors of 1185. The greatest factor of 1185 is 1185.

4. How to Find the LCM of 1181 and 1185?

Answer:

Least Common Multiple of 1181 and 1185 = 1399485

Step 1: Find the prime factorization of 1181

1181 = 1181

Step 2: Find the prime factorization of 1185

1185 = 3 x 5 x 79

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

LCM = 1399485 = 3 x 5 x 79 x 1181

Step 4: Therefore, the least common multiple of 1181 and 1185 is 1399485.