Least Common Multiple of 1191 and 1193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1191 and 1193 the smallest integer that is 1420863 that is divisible by both numbers.

Least Common Multiple (LCM) of 1191 and 1193 is 1420863.

LCM(1191,1193) = 1420863

LCM of 1191 and 1193

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

LCM of:
and

Least Common Multiple of 1191 and 1193

LCM of 1191 and 1193 is 1420863

Least common multiple can be found by multiplying the highest exponent prime factors of 1191 and 1193. First we will calculate the prime factors of 1191 and 1193.

Prime Factorization of 1191


3 1191
397 397
1

Prime factors of 1191 are 3,397. Prime factorization of 1191 in exponential form is:

1191 = 31×3971

Prime Factorization of 1193


1193 1193
1

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

1193 = 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 1191 and 1193.

LCM(1191,1193) = 31×3971×11931
LCM(1191,1193) = 1420863

Factors of 1191

List of positive integer factors of 1191 that divides 1191 without a remainder.

1, 3, 397, 1191

Factors of 1193

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

1, 1193

Least Common Multiple of 1191 and 1193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1191 and 1193, than apply into the LCM equation.

GCF(1191,1193) = 1
LCM(1191,1193) = ( 1191 × 1193) / 1
LCM(1191,1193) = 1420863 / 1
LCM(1191,1193) = 1420863

Properties of LCM 1191 and 1193

(i) The LCM of 1193 and 1191 is associative

LCM of 1191 and 1193 = LCM of 1193 and 1191

Related Least Common Multiples of 1191

Related Least Common Multiples of 1193

Frequently Asked Questions on LCM of 1191 and 1193

1. What is the LCM of 1191 and 1193?

Answer: LCM of 1191 and 1193 is 1420863.

2. What are the Factors of 1191?

Answer: Factors of 1191 are 1, 3, 397, 1191. There are 4 integers that are factors of 1191. The greatest factor of 1191 is 1191.

3. 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.

4. How to Find the LCM of 1191 and 1193?

Answer:

Least Common Multiple of 1191 and 1193 = 1420863

Step 1: Find the prime factorization of 1191

1191 = 3 x 397

Step 2: Find the prime factorization of 1193

1193 = 1193

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

LCM = 1420863 = 3 x 397 x 1193

Step 4: Therefore, the least common multiple of 1191 and 1193 is 1420863.