Least Common Multiple of 1178 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 1178 and 1183 the smallest integer that is 1393574 that is divisible by both numbers.

Least Common Multiple (LCM) of 1178 and 1183 is 1393574.

LCM(1178,1183) = 1393574

LCM of 1178 and 1183

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

LCM of:
and

Least Common Multiple of 1178 and 1183

LCM of 1178 and 1183 is 1393574

Least common multiple can be found by multiplying the highest exponent prime factors of 1178 and 1183. First we will calculate the prime factors of 1178 and 1183.

Prime Factorization of 1178


2 1178
19 589
31 31
1

Prime factors of 1178 are 2, 19,31. Prime factorization of 1178 in exponential form is:

1178 = 21×191×311

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 1178 and 1183.

LCM(1178,1183) = 21×71×132×191×311
LCM(1178,1183) = 1393574

Factors of 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1, 2, 19, 31, 38, 62, 589, 1178

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 1178 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 1178 and 1183, than apply into the LCM equation.

GCF(1178,1183) = 1
LCM(1178,1183) = ( 1178 × 1183) / 1
LCM(1178,1183) = 1393574 / 1
LCM(1178,1183) = 1393574

Properties of LCM 1178 and 1183

(i) The LCM of 1183 and 1178 is associative

LCM of 1178 and 1183 = LCM of 1183 and 1178

Related Least Common Multiples of 1178

Related Least Common Multiples of 1183

Frequently Asked Questions on LCM of 1178 and 1183

1. What is the LCM of 1178 and 1183?

Answer: LCM of 1178 and 1183 is 1393574.

2. What are the Factors of 1178?

Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.

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 1178 and 1183?

Answer:

Least Common Multiple of 1178 and 1183 = 1393574

Step 1: Find the prime factorization of 1178

1178 = 2 x 19 x 31

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 = 1393574 = 2 x 7 x 13 x 13 x 19 x 31

Step 4: Therefore, the least common multiple of 1178 and 1183 is 1393574.