Least Common Multiple of 1157 and 1164

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 1164 the smallest integer that is 1346748 that is divisible by both numbers.

Least Common Multiple (LCM) of 1157 and 1164 is 1346748.

LCM(1157,1164) = 1346748

LCM of 1157 and 1164

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

LCM of:
and

Least Common Multiple of 1157 and 1164

LCM of 1157 and 1164 is 1346748

Least common multiple can be found by multiplying the highest exponent prime factors of 1157 and 1164. First we will calculate the prime factors of 1157 and 1164.

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 1164


2 1164
2 582
3 291
97 97
1

Prime factors of 1164 are 2, 3,97. Prime factorization of 1164 in exponential form is:

1164 = 22×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1157 and 1164.

LCM(1157,1164) = 22×31×131×891×971
LCM(1157,1164) = 1346748

Factors of 1157

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

1, 13, 89, 1157

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164

Least Common Multiple of 1157 and 1164 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 1164, than apply into the LCM equation.

GCF(1157,1164) = 1
LCM(1157,1164) = ( 1157 × 1164) / 1
LCM(1157,1164) = 1346748 / 1
LCM(1157,1164) = 1346748

Properties of LCM 1157 and 1164

(i) The LCM of 1164 and 1157 is associative

LCM of 1157 and 1164 = LCM of 1164 and 1157

Related Least Common Multiples of 1157

Related Least Common Multiples of 1164

Frequently Asked Questions on LCM of 1157 and 1164

1. What is the LCM of 1157 and 1164?

Answer: LCM of 1157 and 1164 is 1346748.

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 1164?

Answer: Factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164. There are 12 integers that are factors of 1164. The greatest factor of 1164 is 1164.

4. How to Find the LCM of 1157 and 1164?

Answer:

Least Common Multiple of 1157 and 1164 = 1346748

Step 1: Find the prime factorization of 1157

1157 = 13 x 89

Step 2: Find the prime factorization of 1164

1164 = 2 x 2 x 3 x 97

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

LCM = 1346748 = 2 x 2 x 3 x 13 x 89 x 97

Step 4: Therefore, the least common multiple of 1157 and 1164 is 1346748.