Least Common Multiple of 1160 and 1162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1160 and 1162 the smallest integer that is 673960 that is divisible by both numbers.

Least Common Multiple (LCM) of 1160 and 1162 is 673960.

LCM(1160,1162) = 673960

LCM of 1160 and 1162

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

LCM of:
and

Least Common Multiple of 1160 and 1162

LCM of 1160 and 1162 is 673960

Least common multiple can be found by multiplying the highest exponent prime factors of 1160 and 1162. First we will calculate the prime factors of 1160 and 1162.

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

Prime Factorization of 1162


2 1162
7 581
83 83
1

Prime factors of 1162 are 2, 7,83. Prime factorization of 1162 in exponential form is:

1162 = 21×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1160 and 1162.

LCM(1160,1162) = 23×51×71×291×831
LCM(1160,1162) = 673960

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

Factors of 1162

List of positive integer factors of 1162 that divides 1162 without a remainder.

1, 2, 7, 14, 83, 166, 581, 1162

Least Common Multiple of 1160 and 1162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1160 and 1162, than apply into the LCM equation.

GCF(1160,1162) = 2
LCM(1160,1162) = ( 1160 × 1162) / 2
LCM(1160,1162) = 1347920 / 2
LCM(1160,1162) = 673960

Properties of LCM 1160 and 1162

(i) The LCM of 1162 and 1160 is associative

LCM of 1160 and 1162 = LCM of 1162 and 1160

Related Least Common Multiples of 1160

Related Least Common Multiples of 1162

Frequently Asked Questions on LCM of 1160 and 1162

1. What is the LCM of 1160 and 1162?

Answer: LCM of 1160 and 1162 is 673960.

2. 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.

3. What are the Factors of 1162?

Answer: Factors of 1162 are 1, 2, 7, 14, 83, 166, 581, 1162. There are 8 integers that are factors of 1162. The greatest factor of 1162 is 1162.

4. How to Find the LCM of 1160 and 1162?

Answer:

Least Common Multiple of 1160 and 1162 = 673960

Step 1: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 1162

1162 = 2 x 7 x 83

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

LCM = 673960 = 2 x 2 x 2 x 5 x 7 x 29 x 83

Step 4: Therefore, the least common multiple of 1160 and 1162 is 673960.