Least Common Multiple of 1176 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 1176 and 1184 the smallest integer that is 174048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1176 and 1184 is 174048.

LCM(1176,1184) = 174048

LCM of 1176 and 1184

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

LCM of:
and

Least Common Multiple of 1176 and 1184

LCM of 1176 and 1184 is 174048

Least common multiple can be found by multiplying the highest exponent prime factors of 1176 and 1184. First we will calculate the prime factors of 1176 and 1184.

Prime Factorization of 1176


2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 1176 are 2, 3,7. Prime factorization of 1176 in exponential form is:

1176 = 23×31×72

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 1176 and 1184.

LCM(1176,1184) = 25×31×72×371
LCM(1176,1184) = 174048

Factors of 1176

List of positive integer factors of 1176 that divides 1176 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176

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 1176 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 1176 and 1184, than apply into the LCM equation.

GCF(1176,1184) = 8
LCM(1176,1184) = ( 1176 × 1184) / 8
LCM(1176,1184) = 1392384 / 8
LCM(1176,1184) = 174048

Properties of LCM 1176 and 1184

(i) The LCM of 1184 and 1176 is associative

LCM of 1176 and 1184 = LCM of 1184 and 1176

Related Least Common Multiples of 1176

Related Least Common Multiples of 1184

Frequently Asked Questions on LCM of 1176 and 1184

1. What is the LCM of 1176 and 1184?

Answer: LCM of 1176 and 1184 is 174048.

2. What are the Factors of 1176?

Answer: Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. There are 24 integers that are factors of 1176. The greatest factor of 1176 is 1176.

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 1176 and 1184?

Answer:

Least Common Multiple of 1176 and 1184 = 174048

Step 1: Find the prime factorization of 1176

1176 = 2 x 2 x 2 x 3 x 7 x 7

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 = 174048 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 1176 and 1184 is 174048.