Least Common Multiple of 1191 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 1191 and 1197 the smallest integer that is 475209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1191 and 1197 is 475209.

LCM(1191,1197) = 475209

LCM of 1191 and 1197

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

LCM of:
and

Least Common Multiple of 1191 and 1197

LCM of 1191 and 1197 is 475209

Least common multiple can be found by multiplying the highest exponent prime factors of 1191 and 1197. First we will calculate the prime factors of 1191 and 1197.

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

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 1191 and 1197.

LCM(1191,1197) = 32×71×191×3971
LCM(1191,1197) = 475209

Factors of 1191

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

1, 3, 397, 1191

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 1191 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 1191 and 1197, than apply into the LCM equation.

GCF(1191,1197) = 3
LCM(1191,1197) = ( 1191 × 1197) / 3
LCM(1191,1197) = 1425627 / 3
LCM(1191,1197) = 475209

Properties of LCM 1191 and 1197

(i) The LCM of 1197 and 1191 is associative

LCM of 1191 and 1197 = LCM of 1197 and 1191

Related Least Common Multiples of 1191

Related Least Common Multiples of 1197

Frequently Asked Questions on LCM of 1191 and 1197

1. What is the LCM of 1191 and 1197?

Answer: LCM of 1191 and 1197 is 475209.

2. 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.

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 1191 and 1197?

Answer:

Least Common Multiple of 1191 and 1197 = 475209

Step 1: Find the prime factorization of 1191

1191 = 3 x 397

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 = 475209 = 3 x 3 x 7 x 19 x 397

Step 4: Therefore, the least common multiple of 1191 and 1197 is 475209.