Least Common Multiple of 1159 and 1163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1159 and 1163 the smallest integer that is 1347917 that is divisible by both numbers.

Least Common Multiple (LCM) of 1159 and 1163 is 1347917.

LCM(1159,1163) = 1347917

LCM of 1159 and 1163

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

LCM of:
and

Least Common Multiple of 1159 and 1163

LCM of 1159 and 1163 is 1347917

Least common multiple can be found by multiplying the highest exponent prime factors of 1159 and 1163. First we will calculate the prime factors of 1159 and 1163.

Prime Factorization of 1159


19 1159
61 61
1

Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:

1159 = 191×611

Prime Factorization of 1163


1163 1163
1

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

1163 = 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 1159 and 1163.

LCM(1159,1163) = 191×611×11631
LCM(1159,1163) = 1347917

Factors of 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1, 19, 61, 1159

Factors of 1163

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

1, 1163

Least Common Multiple of 1159 and 1163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1159 and 1163, than apply into the LCM equation.

GCF(1159,1163) = 1
LCM(1159,1163) = ( 1159 × 1163) / 1
LCM(1159,1163) = 1347917 / 1
LCM(1159,1163) = 1347917

Properties of LCM 1159 and 1163

(i) The LCM of 1163 and 1159 is associative

LCM of 1159 and 1163 = LCM of 1163 and 1159

Related Least Common Multiples of 1159

Related Least Common Multiples of 1163

Frequently Asked Questions on LCM of 1159 and 1163

1. What is the LCM of 1159 and 1163?

Answer: LCM of 1159 and 1163 is 1347917.

2. What are the Factors of 1159?

Answer: Factors of 1159 are 1, 19, 61, 1159. There are 4 integers that are factors of 1159. The greatest factor of 1159 is 1159.

3. 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.

4. How to Find the LCM of 1159 and 1163?

Answer:

Least Common Multiple of 1159 and 1163 = 1347917

Step 1: Find the prime factorization of 1159

1159 = 19 x 61

Step 2: Find the prime factorization of 1163

1163 = 1163

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

LCM = 1347917 = 19 x 61 x 1163

Step 4: Therefore, the least common multiple of 1159 and 1163 is 1347917.