Least Common Multiple of 1197 and 1204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1197 and 1204 the smallest integer that is 205884 that is divisible by both numbers.

Least Common Multiple (LCM) of 1197 and 1204 is 205884.

LCM(1197,1204) = 205884

LCM of 1197 and 1204

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

LCM of:
and

Least Common Multiple of 1197 and 1204

LCM of 1197 and 1204 is 205884

Least common multiple can be found by multiplying the highest exponent prime factors of 1197 and 1204. First we will calculate the prime factors of 1197 and 1204.

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

Prime Factorization of 1204


2 1204
2 602
7 301
43 43
1

Prime factors of 1204 are 2, 7,43. Prime factorization of 1204 in exponential form is:

1204 = 22×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1197 and 1204.

LCM(1197,1204) = 22×32×71×191×431
LCM(1197,1204) = 205884

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

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204

Least Common Multiple of 1197 and 1204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1197 and 1204, than apply into the LCM equation.

GCF(1197,1204) = 7
LCM(1197,1204) = ( 1197 × 1204) / 7
LCM(1197,1204) = 1441188 / 7
LCM(1197,1204) = 205884

Properties of LCM 1197 and 1204

(i) The LCM of 1204 and 1197 is associative

LCM of 1197 and 1204 = LCM of 1204 and 1197

Related Least Common Multiples of 1197

Related Least Common Multiples of 1204

Frequently Asked Questions on LCM of 1197 and 1204

1. What is the LCM of 1197 and 1204?

Answer: LCM of 1197 and 1204 is 205884.

2. 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.

3. What are the Factors of 1204?

Answer: Factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204. There are 12 integers that are factors of 1204. The greatest factor of 1204 is 1204.

4. How to Find the LCM of 1197 and 1204?

Answer:

Least Common Multiple of 1197 and 1204 = 205884

Step 1: Find the prime factorization of 1197

1197 = 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

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

LCM = 205884 = 2 x 2 x 3 x 3 x 7 x 19 x 43

Step 4: Therefore, the least common multiple of 1197 and 1204 is 205884.