Least Common Multiple of 1174 and 1181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1174 and 1181 the smallest integer that is 1386494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1174 and 1181 is 1386494.

LCM(1174,1181) = 1386494

LCM of 1174 and 1181

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

LCM of:
and

Least Common Multiple of 1174 and 1181

LCM of 1174 and 1181 is 1386494

Least common multiple can be found by multiplying the highest exponent prime factors of 1174 and 1181. First we will calculate the prime factors of 1174 and 1181.

Prime Factorization of 1174


2 1174
587 587
1

Prime factors of 1174 are 2,587. Prime factorization of 1174 in exponential form is:

1174 = 21×5871

Prime Factorization of 1181


1181 1181
1

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

1181 = 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 1174 and 1181.

LCM(1174,1181) = 21×5871×11811
LCM(1174,1181) = 1386494

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1, 2, 587, 1174

Factors of 1181

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

1, 1181

Least Common Multiple of 1174 and 1181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1174 and 1181, than apply into the LCM equation.

GCF(1174,1181) = 1
LCM(1174,1181) = ( 1174 × 1181) / 1
LCM(1174,1181) = 1386494 / 1
LCM(1174,1181) = 1386494

Properties of LCM 1174 and 1181

(i) The LCM of 1181 and 1174 is associative

LCM of 1174 and 1181 = LCM of 1181 and 1174

Related Least Common Multiples of 1174

Related Least Common Multiples of 1181

Frequently Asked Questions on LCM of 1174 and 1181

1. What is the LCM of 1174 and 1181?

Answer: LCM of 1174 and 1181 is 1386494.

2. What are the Factors of 1174?

Answer: Factors of 1174 are 1, 2, 587, 1174. There are 4 integers that are factors of 1174. The greatest factor of 1174 is 1174.

3. 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.

4. How to Find the LCM of 1174 and 1181?

Answer:

Least Common Multiple of 1174 and 1181 = 1386494

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1181

1181 = 1181

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

LCM = 1386494 = 2 x 587 x 1181

Step 4: Therefore, the least common multiple of 1174 and 1181 is 1386494.