Least Common Multiple of 2195 and 2196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2195 and 2196 the smallest integer that is 4820220 that is divisible by both numbers.

Least Common Multiple (LCM) of 2195 and 2196 is 4820220.

LCM(2195,2196) = 4820220

LCM of 2195 and 2196

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

LCM of:
and

Least Common Multiple of 2195 and 2196

LCM of 2195 and 2196 is 4820220

Least common multiple can be found by multiplying the highest exponent prime factors of 2195 and 2196. First we will calculate the prime factors of 2195 and 2196.

Prime Factorization of 2195


5 2195
439 439
1

Prime factors of 2195 are 5,439. Prime factorization of 2195 in exponential form is:

2195 = 51×4391

Prime Factorization of 2196


2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 2196 are 2, 3,61. Prime factorization of 2196 in exponential form is:

2196 = 22×32×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2195 and 2196.

LCM(2195,2196) = 22×32×51×611×4391
LCM(2195,2196) = 4820220

Factors of 2195

List of positive integer factors of 2195 that divides 2195 without a remainder.

1, 5, 439, 2195

Factors of 2196

List of positive integer factors of 2196 that divides 2196 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196

Least Common Multiple of 2195 and 2196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2195 and 2196, than apply into the LCM equation.

GCF(2195,2196) = 1
LCM(2195,2196) = ( 2195 × 2196) / 1
LCM(2195,2196) = 4820220 / 1
LCM(2195,2196) = 4820220

Properties of LCM 2195 and 2196

(i) The LCM of 2196 and 2195 is associative

LCM of 2195 and 2196 = LCM of 2196 and 2195

Related Least Common Multiples of 2195

Related Least Common Multiples of 2196

Frequently Asked Questions on LCM of 2195 and 2196

1. What is the LCM of 2195 and 2196?

Answer: LCM of 2195 and 2196 is 4820220.

2. What are the Factors of 2195?

Answer: Factors of 2195 are 1, 5, 439, 2195. There are 4 integers that are factors of 2195. The greatest factor of 2195 is 2195.

3. What are the Factors of 2196?

Answer: Factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196. There are 18 integers that are factors of 2196. The greatest factor of 2196 is 2196.

4. How to Find the LCM of 2195 and 2196?

Answer:

Least Common Multiple of 2195 and 2196 = 4820220

Step 1: Find the prime factorization of 2195

2195 = 5 x 439

Step 2: Find the prime factorization of 2196

2196 = 2 x 2 x 3 x 3 x 61

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

LCM = 4820220 = 2 x 2 x 3 x 3 x 5 x 61 x 439

Step 4: Therefore, the least common multiple of 2195 and 2196 is 4820220.