Least Common Multiple of 1178 and 1184

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 1184 the smallest integer that is 697376 that is divisible by both numbers.

Least Common Multiple (LCM) of 1178 and 1184 is 697376.

LCM(1178,1184) = 697376

LCM of 1178 and 1184

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

LCM of:
and

Least Common Multiple of 1178 and 1184

LCM of 1178 and 1184 is 697376

Least common multiple can be found by multiplying the highest exponent prime factors of 1178 and 1184. First we will calculate the prime factors of 1178 and 1184.

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 1184


2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 1184 are 2,37. Prime factorization of 1184 in exponential form is:

1184 = 25×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1178 and 1184.

LCM(1178,1184) = 25×191×311×371
LCM(1178,1184) = 697376

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 1184

List of positive integer factors of 1184 that divides 1184 without a remainder.

1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184

Least Common Multiple of 1178 and 1184 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 1184, than apply into the LCM equation.

GCF(1178,1184) = 2
LCM(1178,1184) = ( 1178 × 1184) / 2
LCM(1178,1184) = 1394752 / 2
LCM(1178,1184) = 697376

Properties of LCM 1178 and 1184

(i) The LCM of 1184 and 1178 is associative

LCM of 1178 and 1184 = LCM of 1184 and 1178

Related Least Common Multiples of 1178

Related Least Common Multiples of 1184

Frequently Asked Questions on LCM of 1178 and 1184

1. What is the LCM of 1178 and 1184?

Answer: LCM of 1178 and 1184 is 697376.

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 1184?

Answer: Factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184. There are 12 integers that are factors of 1184. The greatest factor of 1184 is 1184.

4. How to Find the LCM of 1178 and 1184?

Answer:

Least Common Multiple of 1178 and 1184 = 697376

Step 1: Find the prime factorization of 1178

1178 = 2 x 19 x 31

Step 2: Find the prime factorization of 1184

1184 = 2 x 2 x 2 x 2 x 2 x 37

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

LCM = 697376 = 2 x 2 x 2 x 2 x 2 x 19 x 31 x 37

Step 4: Therefore, the least common multiple of 1178 and 1184 is 697376.