Least Common Multiple of 1187 and 1191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1187 and 1191 the smallest integer that is 1413717 that is divisible by both numbers.

Least Common Multiple (LCM) of 1187 and 1191 is 1413717.

LCM(1187,1191) = 1413717

LCM of 1187 and 1191

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

LCM of:
and

Least Common Multiple of 1187 and 1191

LCM of 1187 and 1191 is 1413717

Least common multiple can be found by multiplying the highest exponent prime factors of 1187 and 1191. First we will calculate the prime factors of 1187 and 1191.

Prime Factorization of 1187


1187 1187
1

Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:

1187 = 11871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1187 and 1191.

LCM(1187,1191) = 31×3971×11871
LCM(1187,1191) = 1413717

Factors of 1187

List of positive integer factors of 1187 that divides 1187 without a remainder.

1, 1187

Factors of 1191

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

1, 3, 397, 1191

Least Common Multiple of 1187 and 1191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1187 and 1191, than apply into the LCM equation.

GCF(1187,1191) = 1
LCM(1187,1191) = ( 1187 × 1191) / 1
LCM(1187,1191) = 1413717 / 1
LCM(1187,1191) = 1413717

Properties of LCM 1187 and 1191

(i) The LCM of 1191 and 1187 is associative

LCM of 1187 and 1191 = LCM of 1191 and 1187

Related Least Common Multiples of 1187

Related Least Common Multiples of 1191

Frequently Asked Questions on LCM of 1187 and 1191

1. What is the LCM of 1187 and 1191?

Answer: LCM of 1187 and 1191 is 1413717.

2. What are the Factors of 1187?

Answer: Factors of 1187 are 1, 1187. There are 2 integers that are factors of 1187. The greatest factor of 1187 is 1187.

3. 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.

4. How to Find the LCM of 1187 and 1191?

Answer:

Least Common Multiple of 1187 and 1191 = 1413717

Step 1: Find the prime factorization of 1187

1187 = 1187

Step 2: Find the prime factorization of 1191

1191 = 3 x 397

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

LCM = 1413717 = 3 x 397 x 1187

Step 4: Therefore, the least common multiple of 1187 and 1191 is 1413717.