Least Common Multiple of 2202 and 2208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2202 and 2208 the smallest integer that is 810336 that is divisible by both numbers.

Least Common Multiple (LCM) of 2202 and 2208 is 810336.

LCM(2202,2208) = 810336

LCM of 2202 and 2208

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

LCM of:
and

Least Common Multiple of 2202 and 2208

LCM of 2202 and 2208 is 810336

Least common multiple can be found by multiplying the highest exponent prime factors of 2202 and 2208. First we will calculate the prime factors of 2202 and 2208.

Prime Factorization of 2202


2 2202
3 1101
367 367
1

Prime factors of 2202 are 2, 3,367. Prime factorization of 2202 in exponential form is:

2202 = 21×31×3671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2202 and 2208.

LCM(2202,2208) = 25×31×231×3671
LCM(2202,2208) = 810336

Factors of 2202

List of positive integer factors of 2202 that divides 2202 without a remainder.

1, 2, 3, 6, 367, 734, 1101, 2202

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

Least Common Multiple of 2202 and 2208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2202 and 2208, than apply into the LCM equation.

GCF(2202,2208) = 6
LCM(2202,2208) = ( 2202 × 2208) / 6
LCM(2202,2208) = 4862016 / 6
LCM(2202,2208) = 810336

Properties of LCM 2202 and 2208

(i) The LCM of 2208 and 2202 is associative

LCM of 2202 and 2208 = LCM of 2208 and 2202

Related Least Common Multiples of 2202

Related Least Common Multiples of 2208

Frequently Asked Questions on LCM of 2202 and 2208

1. What is the LCM of 2202 and 2208?

Answer: LCM of 2202 and 2208 is 810336.

2. What are the Factors of 2202?

Answer: Factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202. There are 8 integers that are factors of 2202. The greatest factor of 2202 is 2202.

3. 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.

4. How to Find the LCM of 2202 and 2208?

Answer:

Least Common Multiple of 2202 and 2208 = 810336

Step 1: Find the prime factorization of 2202

2202 = 2 x 3 x 367

Step 2: Find the prime factorization of 2208

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

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

LCM = 810336 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 367

Step 4: Therefore, the least common multiple of 2202 and 2208 is 810336.