Least Common Multiple of 1190 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 1190 and 1195 the smallest integer that is 284410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1190 and 1195 is 284410.

LCM(1190,1195) = 284410

LCM of 1190 and 1195

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

LCM of:
and

Least Common Multiple of 1190 and 1195

LCM of 1190 and 1195 is 284410

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1195. First we will calculate the prime factors of 1190 and 1195.

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 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 1190 and 1195.

LCM(1190,1195) = 21×51×71×171×2391
LCM(1190,1195) = 284410

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 1195

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

1, 5, 239, 1195

Least Common Multiple of 1190 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 1190 and 1195, than apply into the LCM equation.

GCF(1190,1195) = 5
LCM(1190,1195) = ( 1190 × 1195) / 5
LCM(1190,1195) = 1422050 / 5
LCM(1190,1195) = 284410

Properties of LCM 1190 and 1195

(i) The LCM of 1195 and 1190 is associative

LCM of 1190 and 1195 = LCM of 1195 and 1190

Related Least Common Multiples of 1190

Related Least Common Multiples of 1195

Frequently Asked Questions on LCM of 1190 and 1195

1. What is the LCM of 1190 and 1195?

Answer: LCM of 1190 and 1195 is 284410.

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 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 1190 and 1195?

Answer:

Least Common Multiple of 1190 and 1195 = 284410

Step 1: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

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 = 284410 = 2 x 5 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 1190 and 1195 is 284410.