Least Common Multiple of 1184 and 1188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1184 and 1188 the smallest integer that is 351648 that is divisible by both numbers.

Least Common Multiple (LCM) of 1184 and 1188 is 351648.

LCM(1184,1188) = 351648

LCM of 1184 and 1188

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

LCM of:
and

Least Common Multiple of 1184 and 1188

LCM of 1184 and 1188 is 351648

Least common multiple can be found by multiplying the highest exponent prime factors of 1184 and 1188. First we will calculate the prime factors of 1184 and 1188.

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

Prime Factorization of 1188


2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 1188 are 2, 3,11. Prime factorization of 1188 in exponential form is:

1188 = 22×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1184 and 1188.

LCM(1184,1188) = 25×33×111×371
LCM(1184,1188) = 351648

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

Factors of 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188

Least Common Multiple of 1184 and 1188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1184 and 1188, than apply into the LCM equation.

GCF(1184,1188) = 4
LCM(1184,1188) = ( 1184 × 1188) / 4
LCM(1184,1188) = 1406592 / 4
LCM(1184,1188) = 351648

Properties of LCM 1184 and 1188

(i) The LCM of 1188 and 1184 is associative

LCM of 1184 and 1188 = LCM of 1188 and 1184

Related Least Common Multiples of 1184

Related Least Common Multiples of 1188

Frequently Asked Questions on LCM of 1184 and 1188

1. What is the LCM of 1184 and 1188?

Answer: LCM of 1184 and 1188 is 351648.

2. 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.

3. What are the Factors of 1188?

Answer: Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. There are 24 integers that are factors of 1188. The greatest factor of 1188 is 1188.

4. How to Find the LCM of 1184 and 1188?

Answer:

Least Common Multiple of 1184 and 1188 = 351648

Step 1: Find the prime factorization of 1184

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

Step 2: Find the prime factorization of 1188

1188 = 2 x 2 x 3 x 3 x 3 x 11

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

LCM = 351648 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 37

Step 4: Therefore, the least common multiple of 1184 and 1188 is 351648.