Least Common Multiple of 1178 and 1182

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 1182 the smallest integer that is 696198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1178 and 1182 is 696198.

LCM(1178,1182) = 696198

LCM of 1178 and 1182

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

LCM of:
and

Least Common Multiple of 1178 and 1182

LCM of 1178 and 1182 is 696198

Least common multiple can be found by multiplying the highest exponent prime factors of 1178 and 1182. First we will calculate the prime factors of 1178 and 1182.

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 1182


2 1182
3 591
197 197
1

Prime factors of 1182 are 2, 3,197. Prime factorization of 1182 in exponential form is:

1182 = 21×31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1178 and 1182.

LCM(1178,1182) = 21×31×191×311×1971
LCM(1178,1182) = 696198

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 1182

List of positive integer factors of 1182 that divides 1182 without a remainder.

1, 2, 3, 6, 197, 394, 591, 1182

Least Common Multiple of 1178 and 1182 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 1182, than apply into the LCM equation.

GCF(1178,1182) = 2
LCM(1178,1182) = ( 1178 × 1182) / 2
LCM(1178,1182) = 1392396 / 2
LCM(1178,1182) = 696198

Properties of LCM 1178 and 1182

(i) The LCM of 1182 and 1178 is associative

LCM of 1178 and 1182 = LCM of 1182 and 1178

Related Least Common Multiples of 1178

Related Least Common Multiples of 1182

Frequently Asked Questions on LCM of 1178 and 1182

1. What is the LCM of 1178 and 1182?

Answer: LCM of 1178 and 1182 is 696198.

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 1182?

Answer: Factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182. There are 8 integers that are factors of 1182. The greatest factor of 1182 is 1182.

4. How to Find the LCM of 1178 and 1182?

Answer:

Least Common Multiple of 1178 and 1182 = 696198

Step 1: Find the prime factorization of 1178

1178 = 2 x 19 x 31

Step 2: Find the prime factorization of 1182

1182 = 2 x 3 x 197

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

LCM = 696198 = 2 x 3 x 19 x 31 x 197

Step 4: Therefore, the least common multiple of 1178 and 1182 is 696198.