Least Common Multiple of 1184 and 1192

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 1192 the smallest integer that is 176416 that is divisible by both numbers.

Least Common Multiple (LCM) of 1184 and 1192 is 176416.

LCM(1184,1192) = 176416

LCM of 1184 and 1192

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

LCM of:
and

Least Common Multiple of 1184 and 1192

LCM of 1184 and 1192 is 176416

Least common multiple can be found by multiplying the highest exponent prime factors of 1184 and 1192. First we will calculate the prime factors of 1184 and 1192.

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 1192


2 1192
2 596
2 298
149 149
1

Prime factors of 1192 are 2,149. Prime factorization of 1192 in exponential form is:

1192 = 23×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1184 and 1192.

LCM(1184,1192) = 25×371×1491
LCM(1184,1192) = 176416

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 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1, 2, 4, 8, 149, 298, 596, 1192

Least Common Multiple of 1184 and 1192 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 1192, than apply into the LCM equation.

GCF(1184,1192) = 8
LCM(1184,1192) = ( 1184 × 1192) / 8
LCM(1184,1192) = 1411328 / 8
LCM(1184,1192) = 176416

Properties of LCM 1184 and 1192

(i) The LCM of 1192 and 1184 is associative

LCM of 1184 and 1192 = LCM of 1192 and 1184

Related Least Common Multiples of 1184

Related Least Common Multiples of 1192

Frequently Asked Questions on LCM of 1184 and 1192

1. What is the LCM of 1184 and 1192?

Answer: LCM of 1184 and 1192 is 176416.

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 1192?

Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.

4. How to Find the LCM of 1184 and 1192?

Answer:

Least Common Multiple of 1184 and 1192 = 176416

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 1192

1192 = 2 x 2 x 2 x 149

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

LCM = 176416 = 2 x 2 x 2 x 2 x 2 x 37 x 149

Step 4: Therefore, the least common multiple of 1184 and 1192 is 176416.