Least Common Multiple of 1192 and 1196

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 1196 the smallest integer that is 356408 that is divisible by both numbers.

Least Common Multiple (LCM) of 1192 and 1196 is 356408.

LCM(1192,1196) = 356408

LCM of 1192 and 1196

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

LCM of:
and

Least Common Multiple of 1192 and 1196

LCM of 1192 and 1196 is 356408

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1196. First we will calculate the prime factors of 1192 and 1196.

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 1196


2 1196
2 598
13 299
23 23
1

Prime factors of 1196 are 2, 13,23. Prime factorization of 1196 in exponential form is:

1196 = 22×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1192 and 1196.

LCM(1192,1196) = 23×131×231×1491
LCM(1192,1196) = 356408

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 1196

List of positive integer factors of 1196 that divides 1196 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196

Least Common Multiple of 1192 and 1196 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 1196, than apply into the LCM equation.

GCF(1192,1196) = 4
LCM(1192,1196) = ( 1192 × 1196) / 4
LCM(1192,1196) = 1425632 / 4
LCM(1192,1196) = 356408

Properties of LCM 1192 and 1196

(i) The LCM of 1196 and 1192 is associative

LCM of 1192 and 1196 = LCM of 1196 and 1192

Related Least Common Multiples of 1192

Related Least Common Multiples of 1196

Frequently Asked Questions on LCM of 1192 and 1196

1. What is the LCM of 1192 and 1196?

Answer: LCM of 1192 and 1196 is 356408.

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 1196?

Answer: Factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196. There are 12 integers that are factors of 1196. The greatest factor of 1196 is 1196.

4. How to Find the LCM of 1192 and 1196?

Answer:

Least Common Multiple of 1192 and 1196 = 356408

Step 1: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 1196

1196 = 2 x 2 x 13 x 23

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

LCM = 356408 = 2 x 2 x 2 x 13 x 23 x 149

Step 4: Therefore, the least common multiple of 1192 and 1196 is 356408.