Least Common Multiple of 2205 and 2207

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 2207 the smallest integer that is 4866435 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2207 is 4866435.

LCM(2205,2207) = 4866435

LCM of 2205 and 2207

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

LCM of:
and

Least Common Multiple of 2205 and 2207

LCM of 2205 and 2207 is 4866435

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2207. First we will calculate the prime factors of 2205 and 2207.

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 2207


2207 2207
1

Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:

2207 = 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 2205 and 2207.

LCM(2205,2207) = 32×51×72×22071
LCM(2205,2207) = 4866435

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 2207

List of positive integer factors of 2207 that divides 2207 without a remainder.

1, 2207

Least Common Multiple of 2205 and 2207 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 2207, than apply into the LCM equation.

GCF(2205,2207) = 1
LCM(2205,2207) = ( 2205 × 2207) / 1
LCM(2205,2207) = 4866435 / 1
LCM(2205,2207) = 4866435

Properties of LCM 2205 and 2207

(i) The LCM of 2207 and 2205 is associative

LCM of 2205 and 2207 = LCM of 2207 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2207

Frequently Asked Questions on LCM of 2205 and 2207

1. What is the LCM of 2205 and 2207?

Answer: LCM of 2205 and 2207 is 4866435.

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 2207?

Answer: Factors of 2207 are 1, 2207. There are 2 integers that are factors of 2207. The greatest factor of 2207 is 2207.

4. How to Find the LCM of 2205 and 2207?

Answer:

Least Common Multiple of 2205 and 2207 = 4866435

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 2207

2207 = 2207

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

LCM = 4866435 = 3 x 3 x 5 x 7 x 7 x 2207

Step 4: Therefore, the least common multiple of 2205 and 2207 is 4866435.