Least Common Multiple of 1192 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 1192 and 1195 the smallest integer that is 1424440 that is divisible by both numbers.

Least Common Multiple (LCM) of 1192 and 1195 is 1424440.

LCM(1192,1195) = 1424440

LCM of 1192 and 1195

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

LCM of:
and

Least Common Multiple of 1192 and 1195

LCM of 1192 and 1195 is 1424440

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1195. First we will calculate the prime factors of 1192 and 1195.

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 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 1192 and 1195.

LCM(1192,1195) = 23×51×1491×2391
LCM(1192,1195) = 1424440

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 1195

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

1, 5, 239, 1195

Least Common Multiple of 1192 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 1192 and 1195, than apply into the LCM equation.

GCF(1192,1195) = 1
LCM(1192,1195) = ( 1192 × 1195) / 1
LCM(1192,1195) = 1424440 / 1
LCM(1192,1195) = 1424440

Properties of LCM 1192 and 1195

(i) The LCM of 1195 and 1192 is associative

LCM of 1192 and 1195 = LCM of 1195 and 1192

Related Least Common Multiples of 1192

Related Least Common Multiples of 1195

Frequently Asked Questions on LCM of 1192 and 1195

1. What is the LCM of 1192 and 1195?

Answer: LCM of 1192 and 1195 is 1424440.

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 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 1192 and 1195?

Answer:

Least Common Multiple of 1192 and 1195 = 1424440

Step 1: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

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 = 1424440 = 2 x 2 x 2 x 5 x 149 x 239

Step 4: Therefore, the least common multiple of 1192 and 1195 is 1424440.