Least Common Multiple of 1158 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 1158 and 1164 the smallest integer that is 224652 that is divisible by both numbers.

Least Common Multiple (LCM) of 1158 and 1164 is 224652.

LCM(1158,1164) = 224652

LCM of 1158 and 1164

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

LCM of:
and

Least Common Multiple of 1158 and 1164

LCM of 1158 and 1164 is 224652

Least common multiple can be found by multiplying the highest exponent prime factors of 1158 and 1164. First we will calculate the prime factors of 1158 and 1164.

Prime Factorization of 1158


2 1158
3 579
193 193
1

Prime factors of 1158 are 2, 3,193. Prime factorization of 1158 in exponential form is:

1158 = 21×31×1931

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 1158 and 1164.

LCM(1158,1164) = 22×31×971×1931
LCM(1158,1164) = 224652

Factors of 1158

List of positive integer factors of 1158 that divides 1158 without a remainder.

1, 2, 3, 6, 193, 386, 579, 1158

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 1158 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 1158 and 1164, than apply into the LCM equation.

GCF(1158,1164) = 6
LCM(1158,1164) = ( 1158 × 1164) / 6
LCM(1158,1164) = 1347912 / 6
LCM(1158,1164) = 224652

Properties of LCM 1158 and 1164

(i) The LCM of 1164 and 1158 is associative

LCM of 1158 and 1164 = LCM of 1164 and 1158

Related Least Common Multiples of 1158

Related Least Common Multiples of 1164

Frequently Asked Questions on LCM of 1158 and 1164

1. What is the LCM of 1158 and 1164?

Answer: LCM of 1158 and 1164 is 224652.

2. What are the Factors of 1158?

Answer: Factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158. There are 8 integers that are factors of 1158. The greatest factor of 1158 is 1158.

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 1158 and 1164?

Answer:

Least Common Multiple of 1158 and 1164 = 224652

Step 1: Find the prime factorization of 1158

1158 = 2 x 3 x 193

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 = 224652 = 2 x 2 x 3 x 97 x 193

Step 4: Therefore, the least common multiple of 1158 and 1164 is 224652.