Least Common Multiple of 2208 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 2208 and 2216 the smallest integer that is 611616 that is divisible by both numbers.

Least Common Multiple (LCM) of 2208 and 2216 is 611616.

LCM(2208,2216) = 611616

LCM of 2208 and 2216

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

LCM of:
and

Least Common Multiple of 2208 and 2216

LCM of 2208 and 2216 is 611616

Least common multiple can be found by multiplying the highest exponent prime factors of 2208 and 2216. First we will calculate the prime factors of 2208 and 2216.

Prime Factorization of 2208


2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 2208 are 2, 3,23. Prime factorization of 2208 in exponential form is:

2208 = 25×31×231

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 2208 and 2216.

LCM(2208,2216) = 25×31×231×2771
LCM(2208,2216) = 611616

Factors of 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208

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 2208 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 2208 and 2216, than apply into the LCM equation.

GCF(2208,2216) = 8
LCM(2208,2216) = ( 2208 × 2216) / 8
LCM(2208,2216) = 4892928 / 8
LCM(2208,2216) = 611616

Properties of LCM 2208 and 2216

(i) The LCM of 2216 and 2208 is associative

LCM of 2208 and 2216 = LCM of 2216 and 2208

Related Least Common Multiples of 2208

Related Least Common Multiples of 2216

Frequently Asked Questions on LCM of 2208 and 2216

1. What is the LCM of 2208 and 2216?

Answer: LCM of 2208 and 2216 is 611616.

2. What are the Factors of 2208?

Answer: Factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. There are 24 integers that are factors of 2208. The greatest factor of 2208 is 2208.

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 2208 and 2216?

Answer:

Least Common Multiple of 2208 and 2216 = 611616

Step 1: Find the prime factorization of 2208

2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23

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 = 611616 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 277

Step 4: Therefore, the least common multiple of 2208 and 2216 is 611616.