Least Common Multiple of 1163 and 1171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1163 and 1171 the smallest integer that is 1361873 that is divisible by both numbers.

Least Common Multiple (LCM) of 1163 and 1171 is 1361873.

LCM(1163,1171) = 1361873

LCM of 1163 and 1171

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

LCM of:
and

Least Common Multiple of 1163 and 1171

LCM of 1163 and 1171 is 1361873

Least common multiple can be found by multiplying the highest exponent prime factors of 1163 and 1171. First we will calculate the prime factors of 1163 and 1171.

Prime Factorization of 1163


1163 1163
1

Prime factors of 1163 are 1163. Prime factorization of 1163 in exponential form is:

1163 = 11631

Prime Factorization of 1171


1171 1171
1

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

1171 = 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 1163 and 1171.

LCM(1163,1171) = 11631×11711
LCM(1163,1171) = 1361873

Factors of 1163

List of positive integer factors of 1163 that divides 1163 without a remainder.

1, 1163

Factors of 1171

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

1, 1171

Least Common Multiple of 1163 and 1171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1163 and 1171, than apply into the LCM equation.

GCF(1163,1171) = 1
LCM(1163,1171) = ( 1163 × 1171) / 1
LCM(1163,1171) = 1361873 / 1
LCM(1163,1171) = 1361873

Properties of LCM 1163 and 1171

(i) The LCM of 1171 and 1163 is associative

LCM of 1163 and 1171 = LCM of 1171 and 1163

Related Least Common Multiples of 1163

Related Least Common Multiples of 1171

Frequently Asked Questions on LCM of 1163 and 1171

1. What is the LCM of 1163 and 1171?

Answer: LCM of 1163 and 1171 is 1361873.

2. What are the Factors of 1163?

Answer: Factors of 1163 are 1, 1163. There are 2 integers that are factors of 1163. The greatest factor of 1163 is 1163.

3. 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.

4. How to Find the LCM of 1163 and 1171?

Answer:

Least Common Multiple of 1163 and 1171 = 1361873

Step 1: Find the prime factorization of 1163

1163 = 1163

Step 2: Find the prime factorization of 1171

1171 = 1171

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

LCM = 1361873 = 1163 x 1171

Step 4: Therefore, the least common multiple of 1163 and 1171 is 1361873.