Least Common Multiple of 1157 and 1165

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 1165 the smallest integer that is 1347905 that is divisible by both numbers.

Least Common Multiple (LCM) of 1157 and 1165 is 1347905.

LCM(1157,1165) = 1347905

LCM of 1157 and 1165

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

LCM of:
and

Least Common Multiple of 1157 and 1165

LCM of 1157 and 1165 is 1347905

Least common multiple can be found by multiplying the highest exponent prime factors of 1157 and 1165. First we will calculate the prime factors of 1157 and 1165.

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 1165


5 1165
233 233
1

Prime factors of 1165 are 5,233. Prime factorization of 1165 in exponential form is:

1165 = 51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1157 and 1165.

LCM(1157,1165) = 51×131×891×2331
LCM(1157,1165) = 1347905

Factors of 1157

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

1, 13, 89, 1157

Factors of 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1, 5, 233, 1165

Least Common Multiple of 1157 and 1165 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 1165, than apply into the LCM equation.

GCF(1157,1165) = 1
LCM(1157,1165) = ( 1157 × 1165) / 1
LCM(1157,1165) = 1347905 / 1
LCM(1157,1165) = 1347905

Properties of LCM 1157 and 1165

(i) The LCM of 1165 and 1157 is associative

LCM of 1157 and 1165 = LCM of 1165 and 1157

Related Least Common Multiples of 1157

Related Least Common Multiples of 1165

Frequently Asked Questions on LCM of 1157 and 1165

1. What is the LCM of 1157 and 1165?

Answer: LCM of 1157 and 1165 is 1347905.

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 1165?

Answer: Factors of 1165 are 1, 5, 233, 1165. There are 4 integers that are factors of 1165. The greatest factor of 1165 is 1165.

4. How to Find the LCM of 1157 and 1165?

Answer:

Least Common Multiple of 1157 and 1165 = 1347905

Step 1: Find the prime factorization of 1157

1157 = 13 x 89

Step 2: Find the prime factorization of 1165

1165 = 5 x 233

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

LCM = 1347905 = 5 x 13 x 89 x 233

Step 4: Therefore, the least common multiple of 1157 and 1165 is 1347905.