Least Common Multiple of 1156 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 1156 and 1162 the smallest integer that is 671636 that is divisible by both numbers.

Least Common Multiple (LCM) of 1156 and 1162 is 671636.

LCM(1156,1162) = 671636

LCM of 1156 and 1162

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

LCM of:
and

Least Common Multiple of 1156 and 1162

LCM of 1156 and 1162 is 671636

Least common multiple can be found by multiplying the highest exponent prime factors of 1156 and 1162. First we will calculate the prime factors of 1156 and 1162.

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

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 1156 and 1162.

LCM(1156,1162) = 22×71×172×831
LCM(1156,1162) = 671636

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

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 1156 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 1156 and 1162, than apply into the LCM equation.

GCF(1156,1162) = 2
LCM(1156,1162) = ( 1156 × 1162) / 2
LCM(1156,1162) = 1343272 / 2
LCM(1156,1162) = 671636

Properties of LCM 1156 and 1162

(i) The LCM of 1162 and 1156 is associative

LCM of 1156 and 1162 = LCM of 1162 and 1156

Related Least Common Multiples of 1156

Related Least Common Multiples of 1162

Frequently Asked Questions on LCM of 1156 and 1162

1. What is the LCM of 1156 and 1162?

Answer: LCM of 1156 and 1162 is 671636.

2. 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.

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 1156 and 1162?

Answer:

Least Common Multiple of 1156 and 1162 = 671636

Step 1: Find the prime factorization of 1156

1156 = 2 x 2 x 17 x 17

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 = 671636 = 2 x 2 x 7 x 17 x 17 x 83

Step 4: Therefore, the least common multiple of 1156 and 1162 is 671636.