Least Common Multiple of 1171 and 1174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1171 and 1174 the smallest integer that is 1374754 that is divisible by both numbers.

Least Common Multiple (LCM) of 1171 and 1174 is 1374754.

LCM(1171,1174) = 1374754

LCM of 1171 and 1174

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

LCM of:
and

Least Common Multiple of 1171 and 1174

LCM of 1171 and 1174 is 1374754

Least common multiple can be found by multiplying the highest exponent prime factors of 1171 and 1174. First we will calculate the prime factors of 1171 and 1174.

Prime Factorization of 1171


1171 1171
1

Prime factors of 1171 are 1171. Prime factorization of 1171 in exponential form is:

1171 = 11711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1171 and 1174.

LCM(1171,1174) = 21×5871×11711
LCM(1171,1174) = 1374754

Factors of 1171

List of positive integer factors of 1171 that divides 1171 without a remainder.

1, 1171

Factors of 1174

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

1, 2, 587, 1174

Least Common Multiple of 1171 and 1174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1171 and 1174, than apply into the LCM equation.

GCF(1171,1174) = 1
LCM(1171,1174) = ( 1171 × 1174) / 1
LCM(1171,1174) = 1374754 / 1
LCM(1171,1174) = 1374754

Properties of LCM 1171 and 1174

(i) The LCM of 1174 and 1171 is associative

LCM of 1171 and 1174 = LCM of 1174 and 1171

Related Least Common Multiples of 1171

Related Least Common Multiples of 1174

Frequently Asked Questions on LCM of 1171 and 1174

1. What is the LCM of 1171 and 1174?

Answer: LCM of 1171 and 1174 is 1374754.

2. What are the Factors of 1171?

Answer: Factors of 1171 are 1, 1171. There are 2 integers that are factors of 1171. The greatest factor of 1171 is 1171.

3. 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.

4. How to Find the LCM of 1171 and 1174?

Answer:

Least Common Multiple of 1171 and 1174 = 1374754

Step 1: Find the prime factorization of 1171

1171 = 1171

Step 2: Find the prime factorization of 1174

1174 = 2 x 587

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

LCM = 1374754 = 2 x 587 x 1171

Step 4: Therefore, the least common multiple of 1171 and 1174 is 1374754.