Least Common Multiple of 1192 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 1192 and 1197 the smallest integer that is 1426824 that is divisible by both numbers.

Least Common Multiple (LCM) of 1192 and 1197 is 1426824.

LCM(1192,1197) = 1426824

LCM of 1192 and 1197

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

LCM of:
and

Least Common Multiple of 1192 and 1197

LCM of 1192 and 1197 is 1426824

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1197. First we will calculate the prime factors of 1192 and 1197.

Prime Factorization of 1192


2 1192
2 596
2 298
149 149
1

Prime factors of 1192 are 2,149. Prime factorization of 1192 in exponential form is:

1192 = 23×1491

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 1192 and 1197.

LCM(1192,1197) = 23×32×71×191×1491
LCM(1192,1197) = 1426824

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1, 2, 4, 8, 149, 298, 596, 1192

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 1192 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 1192 and 1197, than apply into the LCM equation.

GCF(1192,1197) = 1
LCM(1192,1197) = ( 1192 × 1197) / 1
LCM(1192,1197) = 1426824 / 1
LCM(1192,1197) = 1426824

Properties of LCM 1192 and 1197

(i) The LCM of 1197 and 1192 is associative

LCM of 1192 and 1197 = LCM of 1197 and 1192

Related Least Common Multiples of 1192

Related Least Common Multiples of 1197

Frequently Asked Questions on LCM of 1192 and 1197

1. What is the LCM of 1192 and 1197?

Answer: LCM of 1192 and 1197 is 1426824.

2. What are the Factors of 1192?

Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.

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 1192 and 1197?

Answer:

Least Common Multiple of 1192 and 1197 = 1426824

Step 1: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

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 = 1426824 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 149

Step 4: Therefore, the least common multiple of 1192 and 1197 is 1426824.