Least Common Multiple of 1150 and 1154

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 1154 the smallest integer that is 663550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1150 and 1154 is 663550.

LCM(1150,1154) = 663550

LCM of 1150 and 1154

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

LCM of:
and

Least Common Multiple of 1150 and 1154

LCM of 1150 and 1154 is 663550

Least common multiple can be found by multiplying the highest exponent prime factors of 1150 and 1154. First we will calculate the prime factors of 1150 and 1154.

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 1154


2 1154
577 577
1

Prime factors of 1154 are 2,577. Prime factorization of 1154 in exponential form is:

1154 = 21×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 1150 and 1154.

LCM(1150,1154) = 21×52×231×5771
LCM(1150,1154) = 663550

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 1154

List of positive integer factors of 1154 that divides 1154 without a remainder.

1, 2, 577, 1154

Least Common Multiple of 1150 and 1154 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 1154, than apply into the LCM equation.

GCF(1150,1154) = 2
LCM(1150,1154) = ( 1150 × 1154) / 2
LCM(1150,1154) = 1327100 / 2
LCM(1150,1154) = 663550

Properties of LCM 1150 and 1154

(i) The LCM of 1154 and 1150 is associative

LCM of 1150 and 1154 = LCM of 1154 and 1150

Related Least Common Multiples of 1150

Related Least Common Multiples of 1154

Frequently Asked Questions on LCM of 1150 and 1154

1. What is the LCM of 1150 and 1154?

Answer: LCM of 1150 and 1154 is 663550.

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 1154?

Answer: Factors of 1154 are 1, 2, 577, 1154. There are 4 integers that are factors of 1154. The greatest factor of 1154 is 1154.

4. How to Find the LCM of 1150 and 1154?

Answer:

Least Common Multiple of 1150 and 1154 = 663550

Step 1: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 1154

1154 = 2 x 577

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

LCM = 663550 = 2 x 5 x 5 x 23 x 577

Step 4: Therefore, the least common multiple of 1150 and 1154 is 663550.