Least Common Multiple of 1163 and 1169

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 1169 the smallest integer that is 1359547 that is divisible by both numbers.

Least Common Multiple (LCM) of 1163 and 1169 is 1359547.

LCM(1163,1169) = 1359547

LCM of 1163 and 1169

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

LCM of:
and

Least Common Multiple of 1163 and 1169

LCM of 1163 and 1169 is 1359547

Least common multiple can be found by multiplying the highest exponent prime factors of 1163 and 1169. First we will calculate the prime factors of 1163 and 1169.

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 1169


7 1169
167 167
1

Prime factors of 1169 are 7,167. Prime factorization of 1169 in exponential form is:

1169 = 71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1163 and 1169.

LCM(1163,1169) = 71×1671×11631
LCM(1163,1169) = 1359547

Factors of 1163

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

1, 1163

Factors of 1169

List of positive integer factors of 1169 that divides 1169 without a remainder.

1, 7, 167, 1169

Least Common Multiple of 1163 and 1169 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 1169, than apply into the LCM equation.

GCF(1163,1169) = 1
LCM(1163,1169) = ( 1163 × 1169) / 1
LCM(1163,1169) = 1359547 / 1
LCM(1163,1169) = 1359547

Properties of LCM 1163 and 1169

(i) The LCM of 1169 and 1163 is associative

LCM of 1163 and 1169 = LCM of 1169 and 1163

Frequently Asked Questions on LCM of 1163 and 1169

1. What is the LCM of 1163 and 1169?

Answer: LCM of 1163 and 1169 is 1359547.

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 1169?

Answer: Factors of 1169 are 1, 7, 167, 1169. There are 4 integers that are factors of 1169. The greatest factor of 1169 is 1169.

4. How to Find the LCM of 1163 and 1169?

Answer:

Least Common Multiple of 1163 and 1169 = 1359547

Step 1: Find the prime factorization of 1163

1163 = 1163

Step 2: Find the prime factorization of 1169

1169 = 7 x 167

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

LCM = 1359547 = 7 x 167 x 1163

Step 4: Therefore, the least common multiple of 1163 and 1169 is 1359547.