Least Common Multiple of 1172 and 1180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1172 and 1180 the smallest integer that is 345740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1172 and 1180 is 345740.

LCM(1172,1180) = 345740

LCM of 1172 and 1180

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

LCM of:
and

Least Common Multiple of 1172 and 1180

LCM of 1172 and 1180 is 345740

Least common multiple can be found by multiplying the highest exponent prime factors of 1172 and 1180. First we will calculate the prime factors of 1172 and 1180.

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

Prime Factorization of 1180


2 1180
2 590
5 295
59 59
1

Prime factors of 1180 are 2, 5,59. Prime factorization of 1180 in exponential form is:

1180 = 22×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1172 and 1180.

LCM(1172,1180) = 22×51×591×2931
LCM(1172,1180) = 345740

Factors of 1172

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

1, 2, 4, 293, 586, 1172

Factors of 1180

List of positive integer factors of 1180 that divides 1180 without a remainder.

1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

Least Common Multiple of 1172 and 1180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1172 and 1180, than apply into the LCM equation.

GCF(1172,1180) = 4
LCM(1172,1180) = ( 1172 × 1180) / 4
LCM(1172,1180) = 1382960 / 4
LCM(1172,1180) = 345740

Properties of LCM 1172 and 1180

(i) The LCM of 1180 and 1172 is associative

LCM of 1172 and 1180 = LCM of 1180 and 1172

Related Least Common Multiples of 1172

Related Least Common Multiples of 1180

Frequently Asked Questions on LCM of 1172 and 1180

1. What is the LCM of 1172 and 1180?

Answer: LCM of 1172 and 1180 is 345740.

2. 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.

3. What are the Factors of 1180?

Answer: Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180. There are 12 integers that are factors of 1180. The greatest factor of 1180 is 1180.

4. How to Find the LCM of 1172 and 1180?

Answer:

Least Common Multiple of 1172 and 1180 = 345740

Step 1: Find the prime factorization of 1172

1172 = 2 x 2 x 293

Step 2: Find the prime factorization of 1180

1180 = 2 x 2 x 5 x 59

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

LCM = 345740 = 2 x 2 x 5 x 59 x 293

Step 4: Therefore, the least common multiple of 1172 and 1180 is 345740.