Least Common Multiple of 1155 and 1158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1155 and 1158 the smallest integer that is 445830 that is divisible by both numbers.

Least Common Multiple (LCM) of 1155 and 1158 is 445830.

LCM(1155,1158) = 445830

LCM of 1155 and 1158

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

LCM of:
and

Least Common Multiple of 1155 and 1158

LCM of 1155 and 1158 is 445830

Least common multiple can be found by multiplying the highest exponent prime factors of 1155 and 1158. First we will calculate the prime factors of 1155 and 1158.

Prime Factorization of 1155


3 1155
5 385
7 77
11 11
1

Prime factors of 1155 are 3, 5, 7,11. Prime factorization of 1155 in exponential form is:

1155 = 31×51×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1155 and 1158.

LCM(1155,1158) = 21×31×51×71×111×1931
LCM(1155,1158) = 445830

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155

Factors of 1158

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

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

Least Common Multiple of 1155 and 1158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1155 and 1158, than apply into the LCM equation.

GCF(1155,1158) = 3
LCM(1155,1158) = ( 1155 × 1158) / 3
LCM(1155,1158) = 1337490 / 3
LCM(1155,1158) = 445830

Properties of LCM 1155 and 1158

(i) The LCM of 1158 and 1155 is associative

LCM of 1155 and 1158 = LCM of 1158 and 1155

Related Least Common Multiples of 1155

Related Least Common Multiples of 1158

Frequently Asked Questions on LCM of 1155 and 1158

1. What is the LCM of 1155 and 1158?

Answer: LCM of 1155 and 1158 is 445830.

2. What are the Factors of 1155?

Answer: Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. There are 16 integers that are factors of 1155. The greatest factor of 1155 is 1155.

3. 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.

4. How to Find the LCM of 1155 and 1158?

Answer:

Least Common Multiple of 1155 and 1158 = 445830

Step 1: Find the prime factorization of 1155

1155 = 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 1158

1158 = 2 x 3 x 193

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

LCM = 445830 = 2 x 3 x 5 x 7 x 11 x 193

Step 4: Therefore, the least common multiple of 1155 and 1158 is 445830.