Least Common Multiple of 1193 and 1196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1193 and 1196 the smallest integer that is 1426828 that is divisible by both numbers.

Least Common Multiple (LCM) of 1193 and 1196 is 1426828.

LCM(1193,1196) = 1426828

LCM of 1193 and 1196

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

LCM of:
and

Least Common Multiple of 1193 and 1196

LCM of 1193 and 1196 is 1426828

Least common multiple can be found by multiplying the highest exponent prime factors of 1193 and 1196. First we will calculate the prime factors of 1193 and 1196.

Prime Factorization of 1193


1193 1193
1

Prime factors of 1193 are 1193. Prime factorization of 1193 in exponential form is:

1193 = 11931

Prime Factorization of 1196


2 1196
2 598
13 299
23 23
1

Prime factors of 1196 are 2, 13,23. Prime factorization of 1196 in exponential form is:

1196 = 22×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1193 and 1196.

LCM(1193,1196) = 22×131×231×11931
LCM(1193,1196) = 1426828

Factors of 1193

List of positive integer factors of 1193 that divides 1193 without a remainder.

1, 1193

Factors of 1196

List of positive integer factors of 1196 that divides 1196 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196

Least Common Multiple of 1193 and 1196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1193 and 1196, than apply into the LCM equation.

GCF(1193,1196) = 1
LCM(1193,1196) = ( 1193 × 1196) / 1
LCM(1193,1196) = 1426828 / 1
LCM(1193,1196) = 1426828

Properties of LCM 1193 and 1196

(i) The LCM of 1196 and 1193 is associative

LCM of 1193 and 1196 = LCM of 1196 and 1193

Related Least Common Multiples of 1193

Related Least Common Multiples of 1196

Frequently Asked Questions on LCM of 1193 and 1196

1. What is the LCM of 1193 and 1196?

Answer: LCM of 1193 and 1196 is 1426828.

2. What are the Factors of 1193?

Answer: Factors of 1193 are 1, 1193. There are 2 integers that are factors of 1193. The greatest factor of 1193 is 1193.

3. What are the Factors of 1196?

Answer: Factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196. There are 12 integers that are factors of 1196. The greatest factor of 1196 is 1196.

4. How to Find the LCM of 1193 and 1196?

Answer:

Least Common Multiple of 1193 and 1196 = 1426828

Step 1: Find the prime factorization of 1193

1193 = 1193

Step 2: Find the prime factorization of 1196

1196 = 2 x 2 x 13 x 23

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

LCM = 1426828 = 2 x 2 x 13 x 23 x 1193

Step 4: Therefore, the least common multiple of 1193 and 1196 is 1426828.