Least Common Multiple of 2205 and 2211

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 2211 the smallest integer that is 1625085 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2211 is 1625085.

LCM(2205,2211) = 1625085

LCM of 2205 and 2211

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

LCM of:
and

Least Common Multiple of 2205 and 2211

LCM of 2205 and 2211 is 1625085

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2211. First we will calculate the prime factors of 2205 and 2211.

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 2211


3 2211
11 737
67 67
1

Prime factors of 2211 are 3, 11,67. Prime factorization of 2211 in exponential form is:

2211 = 31×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2205 and 2211.

LCM(2205,2211) = 32×51×72×111×671
LCM(2205,2211) = 1625085

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 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1, 3, 11, 33, 67, 201, 737, 2211

Least Common Multiple of 2205 and 2211 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 2211, than apply into the LCM equation.

GCF(2205,2211) = 3
LCM(2205,2211) = ( 2205 × 2211) / 3
LCM(2205,2211) = 4875255 / 3
LCM(2205,2211) = 1625085

Properties of LCM 2205 and 2211

(i) The LCM of 2211 and 2205 is associative

LCM of 2205 and 2211 = LCM of 2211 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2211

Frequently Asked Questions on LCM of 2205 and 2211

1. What is the LCM of 2205 and 2211?

Answer: LCM of 2205 and 2211 is 1625085.

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 2211?

Answer: Factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211. There are 8 integers that are factors of 2211. The greatest factor of 2211 is 2211.

4. How to Find the LCM of 2205 and 2211?

Answer:

Least Common Multiple of 2205 and 2211 = 1625085

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 2211

2211 = 3 x 11 x 67

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

LCM = 1625085 = 3 x 3 x 5 x 7 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 2205 and 2211 is 1625085.