Least Common Multiple of 1176 and 1183

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 1183 the smallest integer that is 198744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1176 and 1183 is 198744.

LCM(1176,1183) = 198744

LCM of 1176 and 1183

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

LCM of:
and

Least Common Multiple of 1176 and 1183

LCM of 1176 and 1183 is 198744

Least common multiple can be found by multiplying the highest exponent prime factors of 1176 and 1183. First we will calculate the prime factors of 1176 and 1183.

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 1183


7 1183
13 169
13 13
1

Prime factors of 1183 are 7,13. Prime factorization of 1183 in exponential form is:

1183 = 71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1176 and 1183.

LCM(1176,1183) = 23×31×72×132
LCM(1176,1183) = 198744

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 1183

List of positive integer factors of 1183 that divides 1183 without a remainder.

1, 7, 13, 91, 169, 1183

Least Common Multiple of 1176 and 1183 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 1183, than apply into the LCM equation.

GCF(1176,1183) = 7
LCM(1176,1183) = ( 1176 × 1183) / 7
LCM(1176,1183) = 1391208 / 7
LCM(1176,1183) = 198744

Properties of LCM 1176 and 1183

(i) The LCM of 1183 and 1176 is associative

LCM of 1176 and 1183 = LCM of 1183 and 1176

Related Least Common Multiples of 1176

Related Least Common Multiples of 1183

Frequently Asked Questions on LCM of 1176 and 1183

1. What is the LCM of 1176 and 1183?

Answer: LCM of 1176 and 1183 is 198744.

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 1183?

Answer: Factors of 1183 are 1, 7, 13, 91, 169, 1183. There are 6 integers that are factors of 1183. The greatest factor of 1183 is 1183.

4. How to Find the LCM of 1176 and 1183?

Answer:

Least Common Multiple of 1176 and 1183 = 198744

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 1183

1183 = 7 x 13 x 13

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

LCM = 198744 = 2 x 2 x 2 x 3 x 7 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 1176 and 1183 is 198744.