Least Common Multiple of 1150 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 1150 and 1158 the smallest integer that is 665850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1150 and 1158 is 665850.

LCM(1150,1158) = 665850

LCM of 1150 and 1158

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

LCM of:
and

Least Common Multiple of 1150 and 1158

LCM of 1150 and 1158 is 665850

Least common multiple can be found by multiplying the highest exponent prime factors of 1150 and 1158. First we will calculate the prime factors of 1150 and 1158.

Prime Factorization of 1150


2 1150
5 575
5 115
23 23
1

Prime factors of 1150 are 2, 5,23. Prime factorization of 1150 in exponential form is:

1150 = 21×52×231

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 1150 and 1158.

LCM(1150,1158) = 21×31×52×231×1931
LCM(1150,1158) = 665850

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

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 1150 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 1150 and 1158, than apply into the LCM equation.

GCF(1150,1158) = 2
LCM(1150,1158) = ( 1150 × 1158) / 2
LCM(1150,1158) = 1331700 / 2
LCM(1150,1158) = 665850

Properties of LCM 1150 and 1158

(i) The LCM of 1158 and 1150 is associative

LCM of 1150 and 1158 = LCM of 1158 and 1150

Related Least Common Multiples of 1150

Related Least Common Multiples of 1158

Frequently Asked Questions on LCM of 1150 and 1158

1. What is the LCM of 1150 and 1158?

Answer: LCM of 1150 and 1158 is 665850.

2. What are the Factors of 1150?

Answer: Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150. There are 12 integers that are factors of 1150. The greatest factor of 1150 is 1150.

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 1150 and 1158?

Answer:

Least Common Multiple of 1150 and 1158 = 665850

Step 1: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

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 = 665850 = 2 x 3 x 5 x 5 x 23 x 193

Step 4: Therefore, the least common multiple of 1150 and 1158 is 665850.