Least Common Multiple of 1157 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 1157 and 1163 the smallest integer that is 1345591 that is divisible by both numbers.

Least Common Multiple (LCM) of 1157 and 1163 is 1345591.

LCM(1157,1163) = 1345591

LCM of 1157 and 1163

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

LCM of:
and

Least Common Multiple of 1157 and 1163

LCM of 1157 and 1163 is 1345591

Least common multiple can be found by multiplying the highest exponent prime factors of 1157 and 1163. First we will calculate the prime factors of 1157 and 1163.

Prime Factorization of 1157


13 1157
89 89
1

Prime factors of 1157 are 13,89. Prime factorization of 1157 in exponential form is:

1157 = 131×891

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 1157 and 1163.

LCM(1157,1163) = 131×891×11631
LCM(1157,1163) = 1345591

Factors of 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1, 13, 89, 1157

Factors of 1163

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

1, 1163

Least Common Multiple of 1157 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 1157 and 1163, than apply into the LCM equation.

GCF(1157,1163) = 1
LCM(1157,1163) = ( 1157 × 1163) / 1
LCM(1157,1163) = 1345591 / 1
LCM(1157,1163) = 1345591

Properties of LCM 1157 and 1163

(i) The LCM of 1163 and 1157 is associative

LCM of 1157 and 1163 = LCM of 1163 and 1157

Related Least Common Multiples of 1157

Related Least Common Multiples of 1163

Frequently Asked Questions on LCM of 1157 and 1163

1. What is the LCM of 1157 and 1163?

Answer: LCM of 1157 and 1163 is 1345591.

2. What are the Factors of 1157?

Answer: Factors of 1157 are 1, 13, 89, 1157. There are 4 integers that are factors of 1157. The greatest factor of 1157 is 1157.

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 1157 and 1163?

Answer:

Least Common Multiple of 1157 and 1163 = 1345591

Step 1: Find the prime factorization of 1157

1157 = 13 x 89

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 = 1345591 = 13 x 89 x 1163

Step 4: Therefore, the least common multiple of 1157 and 1163 is 1345591.