Least Common Multiple of 1161 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 1161 and 1167 the smallest integer that is 451629 that is divisible by both numbers.

Least Common Multiple (LCM) of 1161 and 1167 is 451629.

LCM(1161,1167) = 451629

LCM of 1161 and 1167

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

LCM of:
and

Least Common Multiple of 1161 and 1167

LCM of 1161 and 1167 is 451629

Least common multiple can be found by multiplying the highest exponent prime factors of 1161 and 1167. First we will calculate the prime factors of 1161 and 1167.

Prime Factorization of 1161


3 1161
3 387
3 129
43 43
1

Prime factors of 1161 are 3,43. Prime factorization of 1161 in exponential form is:

1161 = 33×431

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 1161 and 1167.

LCM(1161,1167) = 33×431×3891
LCM(1161,1167) = 451629

Factors of 1161

List of positive integer factors of 1161 that divides 1161 without a remainder.

1, 3, 9, 27, 43, 129, 387, 1161

Factors of 1167

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

1, 3, 389, 1167

Least Common Multiple of 1161 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 1161 and 1167, than apply into the LCM equation.

GCF(1161,1167) = 3
LCM(1161,1167) = ( 1161 × 1167) / 3
LCM(1161,1167) = 1354887 / 3
LCM(1161,1167) = 451629

Properties of LCM 1161 and 1167

(i) The LCM of 1167 and 1161 is associative

LCM of 1161 and 1167 = LCM of 1167 and 1161

Related Least Common Multiples of 1161

Related Least Common Multiples of 1167

Frequently Asked Questions on LCM of 1161 and 1167

1. What is the LCM of 1161 and 1167?

Answer: LCM of 1161 and 1167 is 451629.

2. What are the Factors of 1161?

Answer: Factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161. There are 8 integers that are factors of 1161. The greatest factor of 1161 is 1161.

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 1161 and 1167?

Answer:

Least Common Multiple of 1161 and 1167 = 451629

Step 1: Find the prime factorization of 1161

1161 = 3 x 3 x 3 x 43

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 = 451629 = 3 x 3 x 3 x 43 x 389

Step 4: Therefore, the least common multiple of 1161 and 1167 is 451629.