Least Common Multiple of 2205 and 2206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2205 and 2206 the smallest integer that is 4864230 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2206 is 4864230.

LCM(2205,2206) = 4864230

LCM of 2205 and 2206

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

LCM of:
and

Least Common Multiple of 2205 and 2206

LCM of 2205 and 2206 is 4864230

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2206. First we will calculate the prime factors of 2205 and 2206.

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3, 5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

Prime Factorization of 2206


2 2206
1103 1103
1

Prime factors of 2206 are 2,1103. Prime factorization of 2206 in exponential form is:

2206 = 21×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 2205 and 2206.

LCM(2205,2206) = 21×32×51×72×11031
LCM(2205,2206) = 4864230

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

Factors of 2206

List of positive integer factors of 2206 that divides 2206 without a remainder.

1, 2, 1103, 2206

Least Common Multiple of 2205 and 2206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2205 and 2206, than apply into the LCM equation.

GCF(2205,2206) = 1
LCM(2205,2206) = ( 2205 × 2206) / 1
LCM(2205,2206) = 4864230 / 1
LCM(2205,2206) = 4864230

Properties of LCM 2205 and 2206

(i) The LCM of 2206 and 2205 is associative

LCM of 2205 and 2206 = LCM of 2206 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2206

Frequently Asked Questions on LCM of 2205 and 2206

1. What is the LCM of 2205 and 2206?

Answer: LCM of 2205 and 2206 is 4864230.

2. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

3. What are the Factors of 2206?

Answer: Factors of 2206 are 1, 2, 1103, 2206. There are 4 integers that are factors of 2206. The greatest factor of 2206 is 2206.

4. How to Find the LCM of 2205 and 2206?

Answer:

Least Common Multiple of 2205 and 2206 = 4864230

Step 1: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 2206

2206 = 2 x 1103

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

LCM = 4864230 = 2 x 3 x 3 x 5 x 7 x 7 x 1103

Step 4: Therefore, the least common multiple of 2205 and 2206 is 4864230.