Least Common Multiple of 1190 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 1190 and 1191 the smallest integer that is 1417290 that is divisible by both numbers.

Least Common Multiple (LCM) of 1190 and 1191 is 1417290.

LCM(1190,1191) = 1417290

LCM of 1190 and 1191

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

LCM of:
and

Least Common Multiple of 1190 and 1191

LCM of 1190 and 1191 is 1417290

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1191. First we will calculate the prime factors of 1190 and 1191.

Prime Factorization of 1190


2 1190
5 595
7 119
17 17
1

Prime factors of 1190 are 2, 5, 7,17. Prime factorization of 1190 in exponential form is:

1190 = 21×51×71×171

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 1190 and 1191.

LCM(1190,1191) = 21×31×51×71×171×3971
LCM(1190,1191) = 1417290

Factors of 1190

List of positive integer factors of 1190 that divides 1190 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190

Factors of 1191

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

1, 3, 397, 1191

Least Common Multiple of 1190 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 1190 and 1191, than apply into the LCM equation.

GCF(1190,1191) = 1
LCM(1190,1191) = ( 1190 × 1191) / 1
LCM(1190,1191) = 1417290 / 1
LCM(1190,1191) = 1417290

Properties of LCM 1190 and 1191

(i) The LCM of 1191 and 1190 is associative

LCM of 1190 and 1191 = LCM of 1191 and 1190

Related Least Common Multiples of 1190

Related Least Common Multiples of 1191

Frequently Asked Questions on LCM of 1190 and 1191

1. What is the LCM of 1190 and 1191?

Answer: LCM of 1190 and 1191 is 1417290.

2. What are the Factors of 1190?

Answer: Factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190. There are 16 integers that are factors of 1190. The greatest factor of 1190 is 1190.

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 1190 and 1191?

Answer:

Least Common Multiple of 1190 and 1191 = 1417290

Step 1: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

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 = 1417290 = 2 x 3 x 5 x 7 x 17 x 397

Step 4: Therefore, the least common multiple of 1190 and 1191 is 1417290.