Least Common Multiple of 1150 and 1157

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 1157 the smallest integer that is 1330550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1150 and 1157 is 1330550.

LCM(1150,1157) = 1330550

LCM of 1150 and 1157

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

LCM of:
and

Least Common Multiple of 1150 and 1157

LCM of 1150 and 1157 is 1330550

Least common multiple can be found by multiplying the highest exponent prime factors of 1150 and 1157. First we will calculate the prime factors of 1150 and 1157.

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 1157


13 1157
89 89
1

Prime factors of 1157 are 13,89. Prime factorization of 1157 in exponential form is:

1157 = 131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1150 and 1157.

LCM(1150,1157) = 21×52×131×231×891
LCM(1150,1157) = 1330550

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 1157

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

1, 13, 89, 1157

Least Common Multiple of 1150 and 1157 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 1157, than apply into the LCM equation.

GCF(1150,1157) = 1
LCM(1150,1157) = ( 1150 × 1157) / 1
LCM(1150,1157) = 1330550 / 1
LCM(1150,1157) = 1330550

Properties of LCM 1150 and 1157

(i) The LCM of 1157 and 1150 is associative

LCM of 1150 and 1157 = LCM of 1157 and 1150

Related Least Common Multiples of 1150

Related Least Common Multiples of 1157

Frequently Asked Questions on LCM of 1150 and 1157

1. What is the LCM of 1150 and 1157?

Answer: LCM of 1150 and 1157 is 1330550.

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 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.

4. How to Find the LCM of 1150 and 1157?

Answer:

Least Common Multiple of 1150 and 1157 = 1330550

Step 1: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 1157

1157 = 13 x 89

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

LCM = 1330550 = 2 x 5 x 5 x 13 x 23 x 89

Step 4: Therefore, the least common multiple of 1150 and 1157 is 1330550.