Least Common Multiple of 1162 and 1167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1162 and 1167 the smallest integer that is 1356054 that is divisible by both numbers.

Least Common Multiple (LCM) of 1162 and 1167 is 1356054.

LCM(1162,1167) = 1356054

LCM of 1162 and 1167

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

LCM of:
and

Least Common Multiple of 1162 and 1167

LCM of 1162 and 1167 is 1356054

Least common multiple can be found by multiplying the highest exponent prime factors of 1162 and 1167. First we will calculate the prime factors of 1162 and 1167.

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

Prime Factorization of 1167


3 1167
389 389
1

Prime factors of 1167 are 3,389. Prime factorization of 1167 in exponential form is:

1167 = 31×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 1162 and 1167.

LCM(1162,1167) = 21×31×71×831×3891
LCM(1162,1167) = 1356054

Factors of 1162

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

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

Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1, 3, 389, 1167

Least Common Multiple of 1162 and 1167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1162 and 1167, than apply into the LCM equation.

GCF(1162,1167) = 1
LCM(1162,1167) = ( 1162 × 1167) / 1
LCM(1162,1167) = 1356054 / 1
LCM(1162,1167) = 1356054

Properties of LCM 1162 and 1167

(i) The LCM of 1167 and 1162 is associative

LCM of 1162 and 1167 = LCM of 1167 and 1162

Related Least Common Multiples of 1162

Related Least Common Multiples of 1167

Frequently Asked Questions on LCM of 1162 and 1167

1. What is the LCM of 1162 and 1167?

Answer: LCM of 1162 and 1167 is 1356054.

2. 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.

3. What are the Factors of 1167?

Answer: Factors of 1167 are 1, 3, 389, 1167. There are 4 integers that are factors of 1167. The greatest factor of 1167 is 1167.

4. How to Find the LCM of 1162 and 1167?

Answer:

Least Common Multiple of 1162 and 1167 = 1356054

Step 1: Find the prime factorization of 1162

1162 = 2 x 7 x 83

Step 2: Find the prime factorization of 1167

1167 = 3 x 389

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

LCM = 1356054 = 2 x 3 x 7 x 83 x 389

Step 4: Therefore, the least common multiple of 1162 and 1167 is 1356054.