Least Common Multiple of 1191 and 1195

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 1195 the smallest integer that is 1423245 that is divisible by both numbers.

Least Common Multiple (LCM) of 1191 and 1195 is 1423245.

LCM(1191,1195) = 1423245

LCM of 1191 and 1195

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

LCM of:
and

Least Common Multiple of 1191 and 1195

LCM of 1191 and 1195 is 1423245

Least common multiple can be found by multiplying the highest exponent prime factors of 1191 and 1195. First we will calculate the prime factors of 1191 and 1195.

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 1195


5 1195
239 239
1

Prime factors of 1195 are 5,239. Prime factorization of 1195 in exponential form is:

1195 = 51×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 1191 and 1195.

LCM(1191,1195) = 31×51×2391×3971
LCM(1191,1195) = 1423245

Factors of 1191

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

1, 3, 397, 1191

Factors of 1195

List of positive integer factors of 1195 that divides 1195 without a remainder.

1, 5, 239, 1195

Least Common Multiple of 1191 and 1195 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 1195, than apply into the LCM equation.

GCF(1191,1195) = 1
LCM(1191,1195) = ( 1191 × 1195) / 1
LCM(1191,1195) = 1423245 / 1
LCM(1191,1195) = 1423245

Properties of LCM 1191 and 1195

(i) The LCM of 1195 and 1191 is associative

LCM of 1191 and 1195 = LCM of 1195 and 1191

Related Least Common Multiples of 1191

Related Least Common Multiples of 1195

Frequently Asked Questions on LCM of 1191 and 1195

1. What is the LCM of 1191 and 1195?

Answer: LCM of 1191 and 1195 is 1423245.

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 1195?

Answer: Factors of 1195 are 1, 5, 239, 1195. There are 4 integers that are factors of 1195. The greatest factor of 1195 is 1195.

4. How to Find the LCM of 1191 and 1195?

Answer:

Least Common Multiple of 1191 and 1195 = 1423245

Step 1: Find the prime factorization of 1191

1191 = 3 x 397

Step 2: Find the prime factorization of 1195

1195 = 5 x 239

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

LCM = 1423245 = 3 x 5 x 239 x 397

Step 4: Therefore, the least common multiple of 1191 and 1195 is 1423245.