Least Common Multiple of 1150 and 1156

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 1156 the smallest integer that is 664700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1150 and 1156 is 664700.

LCM(1150,1156) = 664700

LCM of 1150 and 1156

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

LCM of:
and

Least Common Multiple of 1150 and 1156

LCM of 1150 and 1156 is 664700

Least common multiple can be found by multiplying the highest exponent prime factors of 1150 and 1156. First we will calculate the prime factors of 1150 and 1156.

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 1156


2 1156
2 578
17 289
17 17
1

Prime factors of 1156 are 2,17. Prime factorization of 1156 in exponential form is:

1156 = 22×172

Now multiplying the highest exponent prime factors to calculate the LCM of 1150 and 1156.

LCM(1150,1156) = 22×52×172×231
LCM(1150,1156) = 664700

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 1156

List of positive integer factors of 1156 that divides 1156 without a remainder.

1, 2, 4, 17, 34, 68, 289, 578, 1156

Least Common Multiple of 1150 and 1156 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 1156, than apply into the LCM equation.

GCF(1150,1156) = 2
LCM(1150,1156) = ( 1150 × 1156) / 2
LCM(1150,1156) = 1329400 / 2
LCM(1150,1156) = 664700

Properties of LCM 1150 and 1156

(i) The LCM of 1156 and 1150 is associative

LCM of 1150 and 1156 = LCM of 1156 and 1150

Related Least Common Multiples of 1150

Related Least Common Multiples of 1156

Frequently Asked Questions on LCM of 1150 and 1156

1. What is the LCM of 1150 and 1156?

Answer: LCM of 1150 and 1156 is 664700.

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 1156?

Answer: Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156. There are 9 integers that are factors of 1156. The greatest factor of 1156 is 1156.

4. How to Find the LCM of 1150 and 1156?

Answer:

Least Common Multiple of 1150 and 1156 = 664700

Step 1: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 1156

1156 = 2 x 2 x 17 x 17

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

LCM = 664700 = 2 x 2 x 5 x 5 x 17 x 17 x 23

Step 4: Therefore, the least common multiple of 1150 and 1156 is 664700.