Least Common Multiple of 1195 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 1195 and 1196 the smallest integer that is 1429220 that is divisible by both numbers.

Least Common Multiple (LCM) of 1195 and 1196 is 1429220.

LCM(1195,1196) = 1429220

LCM of 1195 and 1196

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

LCM of:
and

Least Common Multiple of 1195 and 1196

LCM of 1195 and 1196 is 1429220

Least common multiple can be found by multiplying the highest exponent prime factors of 1195 and 1196. First we will calculate the prime factors of 1195 and 1196.

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

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 1195 and 1196.

LCM(1195,1196) = 22×51×131×231×2391
LCM(1195,1196) = 1429220

Factors of 1195

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

1, 5, 239, 1195

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 1195 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 1195 and 1196, than apply into the LCM equation.

GCF(1195,1196) = 1
LCM(1195,1196) = ( 1195 × 1196) / 1
LCM(1195,1196) = 1429220 / 1
LCM(1195,1196) = 1429220

Properties of LCM 1195 and 1196

(i) The LCM of 1196 and 1195 is associative

LCM of 1195 and 1196 = LCM of 1196 and 1195

Related Least Common Multiples of 1195

Related Least Common Multiples of 1196

Frequently Asked Questions on LCM of 1195 and 1196

1. What is the LCM of 1195 and 1196?

Answer: LCM of 1195 and 1196 is 1429220.

2. 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.

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 1195 and 1196?

Answer:

Least Common Multiple of 1195 and 1196 = 1429220

Step 1: Find the prime factorization of 1195

1195 = 5 x 239

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 = 1429220 = 2 x 2 x 5 x 13 x 23 x 239

Step 4: Therefore, the least common multiple of 1195 and 1196 is 1429220.