Least Common Multiple of 1179 and 1186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1179 and 1186 the smallest integer that is 1398294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1179 and 1186 is 1398294.

LCM(1179,1186) = 1398294

LCM of 1179 and 1186

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

LCM of:
and

Least Common Multiple of 1179 and 1186

LCM of 1179 and 1186 is 1398294

Least common multiple can be found by multiplying the highest exponent prime factors of 1179 and 1186. First we will calculate the prime factors of 1179 and 1186.

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

Prime Factorization of 1186


2 1186
593 593
1

Prime factors of 1186 are 2,593. Prime factorization of 1186 in exponential form is:

1186 = 21×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 1179 and 1186.

LCM(1179,1186) = 21×32×1311×5931
LCM(1179,1186) = 1398294

Factors of 1179

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

1, 3, 9, 131, 393, 1179

Factors of 1186

List of positive integer factors of 1186 that divides 1186 without a remainder.

1, 2, 593, 1186

Least Common Multiple of 1179 and 1186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1179 and 1186, than apply into the LCM equation.

GCF(1179,1186) = 1
LCM(1179,1186) = ( 1179 × 1186) / 1
LCM(1179,1186) = 1398294 / 1
LCM(1179,1186) = 1398294

Properties of LCM 1179 and 1186

(i) The LCM of 1186 and 1179 is associative

LCM of 1179 and 1186 = LCM of 1186 and 1179

Related Least Common Multiples of 1179

Related Least Common Multiples of 1186

Frequently Asked Questions on LCM of 1179 and 1186

1. What is the LCM of 1179 and 1186?

Answer: LCM of 1179 and 1186 is 1398294.

2. 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.

3. What are the Factors of 1186?

Answer: Factors of 1186 are 1, 2, 593, 1186. There are 4 integers that are factors of 1186. The greatest factor of 1186 is 1186.

4. How to Find the LCM of 1179 and 1186?

Answer:

Least Common Multiple of 1179 and 1186 = 1398294

Step 1: Find the prime factorization of 1179

1179 = 3 x 3 x 131

Step 2: Find the prime factorization of 1186

1186 = 2 x 593

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

LCM = 1398294 = 2 x 3 x 3 x 131 x 593

Step 4: Therefore, the least common multiple of 1179 and 1186 is 1398294.