Least Common Multiple of 2210 and 2215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2210 and 2215 the smallest integer that is 979030 that is divisible by both numbers.

Least Common Multiple (LCM) of 2210 and 2215 is 979030.

LCM(2210,2215) = 979030

LCM of 2210 and 2215

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

LCM of:
and

Least Common Multiple of 2210 and 2215

LCM of 2210 and 2215 is 979030

Least common multiple can be found by multiplying the highest exponent prime factors of 2210 and 2215. First we will calculate the prime factors of 2210 and 2215.

Prime Factorization of 2210


2 2210
5 1105
13 221
17 17
1

Prime factors of 2210 are 2, 5, 13,17. Prime factorization of 2210 in exponential form is:

2210 = 21×51×131×171

Prime Factorization of 2215


5 2215
443 443
1

Prime factors of 2215 are 5,443. Prime factorization of 2215 in exponential form is:

2215 = 51×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 2210 and 2215.

LCM(2210,2215) = 21×51×131×171×4431
LCM(2210,2215) = 979030

Factors of 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

Factors of 2215

List of positive integer factors of 2215 that divides 2215 without a remainder.

1, 5, 443, 2215

Least Common Multiple of 2210 and 2215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2210 and 2215, than apply into the LCM equation.

GCF(2210,2215) = 5
LCM(2210,2215) = ( 2210 × 2215) / 5
LCM(2210,2215) = 4895150 / 5
LCM(2210,2215) = 979030

Properties of LCM 2210 and 2215

(i) The LCM of 2215 and 2210 is associative

LCM of 2210 and 2215 = LCM of 2215 and 2210

Related Least Common Multiples of 2210

Related Least Common Multiples of 2215

Frequently Asked Questions on LCM of 2210 and 2215

1. What is the LCM of 2210 and 2215?

Answer: LCM of 2210 and 2215 is 979030.

2. What are the Factors of 2210?

Answer: Factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210. There are 16 integers that are factors of 2210. The greatest factor of 2210 is 2210.

3. What are the Factors of 2215?

Answer: Factors of 2215 are 1, 5, 443, 2215. There are 4 integers that are factors of 2215. The greatest factor of 2215 is 2215.

4. How to Find the LCM of 2210 and 2215?

Answer:

Least Common Multiple of 2210 and 2215 = 979030

Step 1: Find the prime factorization of 2210

2210 = 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 2215

2215 = 5 x 443

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

LCM = 979030 = 2 x 5 x 13 x 17 x 443

Step 4: Therefore, the least common multiple of 2210 and 2215 is 979030.