Least Common Multiple of 1179 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 1179 and 1184 the smallest integer that is 1395936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1179 and 1184 is 1395936.

LCM(1179,1184) = 1395936

LCM of 1179 and 1184

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

LCM of:
and

Least Common Multiple of 1179 and 1184

LCM of 1179 and 1184 is 1395936

Least common multiple can be found by multiplying the highest exponent prime factors of 1179 and 1184. First we will calculate the prime factors of 1179 and 1184.

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 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 1179 and 1184.

LCM(1179,1184) = 25×32×371×1311
LCM(1179,1184) = 1395936

Factors of 1179

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

1, 3, 9, 131, 393, 1179

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 1179 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 1179 and 1184, than apply into the LCM equation.

GCF(1179,1184) = 1
LCM(1179,1184) = ( 1179 × 1184) / 1
LCM(1179,1184) = 1395936 / 1
LCM(1179,1184) = 1395936

Properties of LCM 1179 and 1184

(i) The LCM of 1184 and 1179 is associative

LCM of 1179 and 1184 = LCM of 1184 and 1179

Related Least Common Multiples of 1179

Related Least Common Multiples of 1184

Frequently Asked Questions on LCM of 1179 and 1184

1. What is the LCM of 1179 and 1184?

Answer: LCM of 1179 and 1184 is 1395936.

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 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 1179 and 1184?

Answer:

Least Common Multiple of 1179 and 1184 = 1395936

Step 1: Find the prime factorization of 1179

1179 = 3 x 3 x 131

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 = 1395936 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 37 x 131

Step 4: Therefore, the least common multiple of 1179 and 1184 is 1395936.