Least Common Multiple of 1153 and 1160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1153 and 1160 the smallest integer that is 1337480 that is divisible by both numbers.

Least Common Multiple (LCM) of 1153 and 1160 is 1337480.

LCM(1153,1160) = 1337480

LCM of 1153 and 1160

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

LCM of:
and

Least Common Multiple of 1153 and 1160

LCM of 1153 and 1160 is 1337480

Least common multiple can be found by multiplying the highest exponent prime factors of 1153 and 1160. First we will calculate the prime factors of 1153 and 1160.

Prime Factorization of 1153


1153 1153
1

Prime factors of 1153 are 1153. Prime factorization of 1153 in exponential form is:

1153 = 11531

Prime Factorization of 1160


2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 1160 are 2, 5,29. Prime factorization of 1160 in exponential form is:

1160 = 23×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1153 and 1160.

LCM(1153,1160) = 23×51×291×11531
LCM(1153,1160) = 1337480

Factors of 1153

List of positive integer factors of 1153 that divides 1153 without a remainder.

1, 1153

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

Least Common Multiple of 1153 and 1160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1153 and 1160, than apply into the LCM equation.

GCF(1153,1160) = 1
LCM(1153,1160) = ( 1153 × 1160) / 1
LCM(1153,1160) = 1337480 / 1
LCM(1153,1160) = 1337480

Properties of LCM 1153 and 1160

(i) The LCM of 1160 and 1153 is associative

LCM of 1153 and 1160 = LCM of 1160 and 1153

Related Least Common Multiples of 1153

Related Least Common Multiples of 1160

Frequently Asked Questions on LCM of 1153 and 1160

1. What is the LCM of 1153 and 1160?

Answer: LCM of 1153 and 1160 is 1337480.

2. What are the Factors of 1153?

Answer: Factors of 1153 are 1, 1153. There are 2 integers that are factors of 1153. The greatest factor of 1153 is 1153.

3. What are the Factors of 1160?

Answer: Factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. There are 16 integers that are factors of 1160. The greatest factor of 1160 is 1160.

4. How to Find the LCM of 1153 and 1160?

Answer:

Least Common Multiple of 1153 and 1160 = 1337480

Step 1: Find the prime factorization of 1153

1153 = 1153

Step 2: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

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

LCM = 1337480 = 2 x 2 x 2 x 5 x 29 x 1153

Step 4: Therefore, the least common multiple of 1153 and 1160 is 1337480.