Least Common Multiple of 2210 and 2216

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 2216 the smallest integer that is 2448680 that is divisible by both numbers.

Least Common Multiple (LCM) of 2210 and 2216 is 2448680.

LCM(2210,2216) = 2448680

LCM of 2210 and 2216

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

LCM of:
and

Least Common Multiple of 2210 and 2216

LCM of 2210 and 2216 is 2448680

Least common multiple can be found by multiplying the highest exponent prime factors of 2210 and 2216. First we will calculate the prime factors of 2210 and 2216.

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 2216


2 2216
2 1108
2 554
277 277
1

Prime factors of 2216 are 2,277. Prime factorization of 2216 in exponential form is:

2216 = 23×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 2210 and 2216.

LCM(2210,2216) = 23×51×131×171×2771
LCM(2210,2216) = 2448680

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 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1, 2, 4, 8, 277, 554, 1108, 2216

Least Common Multiple of 2210 and 2216 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 2216, than apply into the LCM equation.

GCF(2210,2216) = 2
LCM(2210,2216) = ( 2210 × 2216) / 2
LCM(2210,2216) = 4897360 / 2
LCM(2210,2216) = 2448680

Properties of LCM 2210 and 2216

(i) The LCM of 2216 and 2210 is associative

LCM of 2210 and 2216 = LCM of 2216 and 2210

Related Least Common Multiples of 2210

Related Least Common Multiples of 2216

Frequently Asked Questions on LCM of 2210 and 2216

1. What is the LCM of 2210 and 2216?

Answer: LCM of 2210 and 2216 is 2448680.

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 2216?

Answer: Factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216. There are 8 integers that are factors of 2216. The greatest factor of 2216 is 2216.

4. How to Find the LCM of 2210 and 2216?

Answer:

Least Common Multiple of 2210 and 2216 = 2448680

Step 1: Find the prime factorization of 2210

2210 = 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 2216

2216 = 2 x 2 x 2 x 277

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

LCM = 2448680 = 2 x 2 x 2 x 5 x 13 x 17 x 277

Step 4: Therefore, the least common multiple of 2210 and 2216 is 2448680.