Least Common Multiple of 2208 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 2208 and 2215 the smallest integer that is 4890720 that is divisible by both numbers.

Least Common Multiple (LCM) of 2208 and 2215 is 4890720.

LCM(2208,2215) = 4890720

LCM of 2208 and 2215

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

LCM of:
and

Least Common Multiple of 2208 and 2215

LCM of 2208 and 2215 is 4890720

Least common multiple can be found by multiplying the highest exponent prime factors of 2208 and 2215. First we will calculate the prime factors of 2208 and 2215.

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 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 2208 and 2215.

LCM(2208,2215) = 25×31×51×231×4431
LCM(2208,2215) = 4890720

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 2215

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

1, 5, 443, 2215

Least Common Multiple of 2208 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 2208 and 2215, than apply into the LCM equation.

GCF(2208,2215) = 1
LCM(2208,2215) = ( 2208 × 2215) / 1
LCM(2208,2215) = 4890720 / 1
LCM(2208,2215) = 4890720

Properties of LCM 2208 and 2215

(i) The LCM of 2215 and 2208 is associative

LCM of 2208 and 2215 = LCM of 2215 and 2208

Related Least Common Multiples of 2208

Related Least Common Multiples of 2215

Frequently Asked Questions on LCM of 2208 and 2215

1. What is the LCM of 2208 and 2215?

Answer: LCM of 2208 and 2215 is 4890720.

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 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 2208 and 2215?

Answer:

Least Common Multiple of 2208 and 2215 = 4890720

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 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 = 4890720 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 443

Step 4: Therefore, the least common multiple of 2208 and 2215 is 4890720.