Least Common Multiple of 1187 and 1190

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 1190 the smallest integer that is 1412530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1187 and 1190 is 1412530.

LCM(1187,1190) = 1412530

LCM of 1187 and 1190

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

LCM of:
and

Least Common Multiple of 1187 and 1190

LCM of 1187 and 1190 is 1412530

Least common multiple can be found by multiplying the highest exponent prime factors of 1187 and 1190. First we will calculate the prime factors of 1187 and 1190.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1187 and 1190.

LCM(1187,1190) = 21×51×71×171×11871
LCM(1187,1190) = 1412530

Factors of 1187

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

1, 1187

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

Least Common Multiple of 1187 and 1190 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 1190, than apply into the LCM equation.

GCF(1187,1190) = 1
LCM(1187,1190) = ( 1187 × 1190) / 1
LCM(1187,1190) = 1412530 / 1
LCM(1187,1190) = 1412530

Properties of LCM 1187 and 1190

(i) The LCM of 1190 and 1187 is associative

LCM of 1187 and 1190 = LCM of 1190 and 1187

Related Least Common Multiples of 1187

Related Least Common Multiples of 1190

Frequently Asked Questions on LCM of 1187 and 1190

1. What is the LCM of 1187 and 1190?

Answer: LCM of 1187 and 1190 is 1412530.

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 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.

4. How to Find the LCM of 1187 and 1190?

Answer:

Least Common Multiple of 1187 and 1190 = 1412530

Step 1: Find the prime factorization of 1187

1187 = 1187

Step 2: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

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

LCM = 1412530 = 2 x 5 x 7 x 17 x 1187

Step 4: Therefore, the least common multiple of 1187 and 1190 is 1412530.