Least Common Multiple of 1172 and 1179

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 1179 the smallest integer that is 1381788 that is divisible by both numbers.

Least Common Multiple (LCM) of 1172 and 1179 is 1381788.

LCM(1172,1179) = 1381788

LCM of 1172 and 1179

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

LCM of:
and

Least Common Multiple of 1172 and 1179

LCM of 1172 and 1179 is 1381788

Least common multiple can be found by multiplying the highest exponent prime factors of 1172 and 1179. First we will calculate the prime factors of 1172 and 1179.

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 1179


3 1179
3 393
131 131
1

Prime factors of 1179 are 3,131. Prime factorization of 1179 in exponential form is:

1179 = 32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1172 and 1179.

LCM(1172,1179) = 22×32×1311×2931
LCM(1172,1179) = 1381788

Factors of 1172

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

1, 2, 4, 293, 586, 1172

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1, 3, 9, 131, 393, 1179

Least Common Multiple of 1172 and 1179 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 1179, than apply into the LCM equation.

GCF(1172,1179) = 1
LCM(1172,1179) = ( 1172 × 1179) / 1
LCM(1172,1179) = 1381788 / 1
LCM(1172,1179) = 1381788

Properties of LCM 1172 and 1179

(i) The LCM of 1179 and 1172 is associative

LCM of 1172 and 1179 = LCM of 1179 and 1172

Related Least Common Multiples of 1172

Related Least Common Multiples of 1179

Frequently Asked Questions on LCM of 1172 and 1179

1. What is the LCM of 1172 and 1179?

Answer: LCM of 1172 and 1179 is 1381788.

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 1179?

Answer: Factors of 1179 are 1, 3, 9, 131, 393, 1179. There are 6 integers that are factors of 1179. The greatest factor of 1179 is 1179.

4. How to Find the LCM of 1172 and 1179?

Answer:

Least Common Multiple of 1172 and 1179 = 1381788

Step 1: Find the prime factorization of 1172

1172 = 2 x 2 x 293

Step 2: Find the prime factorization of 1179

1179 = 3 x 3 x 131

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

LCM = 1381788 = 2 x 2 x 3 x 3 x 131 x 293

Step 4: Therefore, the least common multiple of 1172 and 1179 is 1381788.