Least Common Multiple of 1178 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 1178 and 1186 the smallest integer that is 698554 that is divisible by both numbers.

Least Common Multiple (LCM) of 1178 and 1186 is 698554.

LCM(1178,1186) = 698554

LCM of 1178 and 1186

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

LCM of:
and

Least Common Multiple of 1178 and 1186

LCM of 1178 and 1186 is 698554

Least common multiple can be found by multiplying the highest exponent prime factors of 1178 and 1186. First we will calculate the prime factors of 1178 and 1186.

Prime Factorization of 1178


2 1178
19 589
31 31
1

Prime factors of 1178 are 2, 19,31. Prime factorization of 1178 in exponential form is:

1178 = 21×191×311

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 1178 and 1186.

LCM(1178,1186) = 21×191×311×5931
LCM(1178,1186) = 698554

Factors of 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1, 2, 19, 31, 38, 62, 589, 1178

Factors of 1186

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

1, 2, 593, 1186

Least Common Multiple of 1178 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 1178 and 1186, than apply into the LCM equation.

GCF(1178,1186) = 2
LCM(1178,1186) = ( 1178 × 1186) / 2
LCM(1178,1186) = 1397108 / 2
LCM(1178,1186) = 698554

Properties of LCM 1178 and 1186

(i) The LCM of 1186 and 1178 is associative

LCM of 1178 and 1186 = LCM of 1186 and 1178

Related Least Common Multiples of 1178

Related Least Common Multiples of 1186

Frequently Asked Questions on LCM of 1178 and 1186

1. What is the LCM of 1178 and 1186?

Answer: LCM of 1178 and 1186 is 698554.

2. What are the Factors of 1178?

Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.

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 1178 and 1186?

Answer:

Least Common Multiple of 1178 and 1186 = 698554

Step 1: Find the prime factorization of 1178

1178 = 2 x 19 x 31

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 = 698554 = 2 x 19 x 31 x 593

Step 4: Therefore, the least common multiple of 1178 and 1186 is 698554.