Least Common Multiple of 1190 and 1197

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 1197 the smallest integer that is 203490 that is divisible by both numbers.

Least Common Multiple (LCM) of 1190 and 1197 is 203490.

LCM(1190,1197) = 203490

LCM of 1190 and 1197

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

LCM of:
and

Least Common Multiple of 1190 and 1197

LCM of 1190 and 1197 is 203490

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1197. First we will calculate the prime factors of 1190 and 1197.

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 1197


3 1197
3 399
7 133
19 19
1

Prime factors of 1197 are 3, 7,19. Prime factorization of 1197 in exponential form is:

1197 = 32×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1190 and 1197.

LCM(1190,1197) = 21×32×51×71×171×191
LCM(1190,1197) = 203490

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 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197

Least Common Multiple of 1190 and 1197 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 1197, than apply into the LCM equation.

GCF(1190,1197) = 7
LCM(1190,1197) = ( 1190 × 1197) / 7
LCM(1190,1197) = 1424430 / 7
LCM(1190,1197) = 203490

Properties of LCM 1190 and 1197

(i) The LCM of 1197 and 1190 is associative

LCM of 1190 and 1197 = LCM of 1197 and 1190

Related Least Common Multiples of 1190

Related Least Common Multiples of 1197

Frequently Asked Questions on LCM of 1190 and 1197

1. What is the LCM of 1190 and 1197?

Answer: LCM of 1190 and 1197 is 203490.

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 1197?

Answer: Factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197. There are 12 integers that are factors of 1197. The greatest factor of 1197 is 1197.

4. How to Find the LCM of 1190 and 1197?

Answer:

Least Common Multiple of 1190 and 1197 = 203490

Step 1: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 1197

1197 = 3 x 3 x 7 x 19

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

LCM = 203490 = 2 x 3 x 3 x 5 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 1190 and 1197 is 203490.