Least Common Multiple of 1167 and 1172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1167 and 1172 the smallest integer that is 1367724 that is divisible by both numbers.

Least Common Multiple (LCM) of 1167 and 1172 is 1367724.

LCM(1167,1172) = 1367724

LCM of 1167 and 1172

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

LCM of:
and

Least Common Multiple of 1167 and 1172

LCM of 1167 and 1172 is 1367724

Least common multiple can be found by multiplying the highest exponent prime factors of 1167 and 1172. First we will calculate the prime factors of 1167 and 1172.

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

Prime Factorization of 1172


2 1172
2 586
293 293
1

Prime factors of 1172 are 2,293. Prime factorization of 1172 in exponential form is:

1172 = 22×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 1167 and 1172.

LCM(1167,1172) = 22×31×2931×3891
LCM(1167,1172) = 1367724

Factors of 1167

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

1, 3, 389, 1167

Factors of 1172

List of positive integer factors of 1172 that divides 1172 without a remainder.

1, 2, 4, 293, 586, 1172

Least Common Multiple of 1167 and 1172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1167 and 1172, than apply into the LCM equation.

GCF(1167,1172) = 1
LCM(1167,1172) = ( 1167 × 1172) / 1
LCM(1167,1172) = 1367724 / 1
LCM(1167,1172) = 1367724

Properties of LCM 1167 and 1172

(i) The LCM of 1172 and 1167 is associative

LCM of 1167 and 1172 = LCM of 1172 and 1167

Related Least Common Multiples of 1167

Related Least Common Multiples of 1172

Frequently Asked Questions on LCM of 1167 and 1172

1. What is the LCM of 1167 and 1172?

Answer: LCM of 1167 and 1172 is 1367724.

2. 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.

3. What are the Factors of 1172?

Answer: Factors of 1172 are 1, 2, 4, 293, 586, 1172. There are 6 integers that are factors of 1172. The greatest factor of 1172 is 1172.

4. How to Find the LCM of 1167 and 1172?

Answer:

Least Common Multiple of 1167 and 1172 = 1367724

Step 1: Find the prime factorization of 1167

1167 = 3 x 389

Step 2: Find the prime factorization of 1172

1172 = 2 x 2 x 293

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

LCM = 1367724 = 2 x 2 x 3 x 293 x 389

Step 4: Therefore, the least common multiple of 1167 and 1172 is 1367724.