Least Common Multiple of 12205 and 12213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12205 and 12213 the smallest integer that is 149059665 that is divisible by both numbers.

Least Common Multiple (LCM) of 12205 and 12213 is 149059665.

LCM(12205,12213) = 149059665

LCM of 12205 and 12213

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

LCM of:
and

Least Common Multiple of 12205 and 12213

LCM of 12205 and 12213 is 149059665

Least common multiple can be found by multiplying the highest exponent prime factors of 12205 and 12213. First we will calculate the prime factors of 12205 and 12213.

Prime Factorization of 12205


5 12205
2441 2441
1

Prime factors of 12205 are 5,2441. Prime factorization of 12205 in exponential form is:

12205 = 51×24411

Prime Factorization of 12213


3 12213
3 4071
23 1357
59 59
1

Prime factors of 12213 are 3, 23,59. Prime factorization of 12213 in exponential form is:

12213 = 32×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 12205 and 12213.

LCM(12205,12213) = 32×51×231×591×24411
LCM(12205,12213) = 149059665

Factors of 12205

List of positive integer factors of 12205 that divides 12205 without a remainder.

1, 5, 2441, 12205

Factors of 12213

List of positive integer factors of 12213 that divides 12213 without a remainder.

1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213

Least Common Multiple of 12205 and 12213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12205 and 12213, than apply into the LCM equation.

GCF(12205,12213) = 1
LCM(12205,12213) = ( 12205 × 12213) / 1
LCM(12205,12213) = 149059665 / 1
LCM(12205,12213) = 149059665

Properties of LCM 12205 and 12213

(i) The LCM of 12213 and 12205 is associative

LCM of 12205 and 12213 = LCM of 12213 and 12205

Related Least Common Multiples of 12205

Related Least Common Multiples of 12213

Frequently Asked Questions on LCM of 12205 and 12213

1. What is the LCM of 12205 and 12213?

Answer: LCM of 12205 and 12213 is 149059665.

2. What are the Factors of 12205?

Answer: Factors of 12205 are 1, 5, 2441, 12205. There are 4 integers that are factors of 12205. The greatest factor of 12205 is 12205.

3. What are the Factors of 12213?

Answer: Factors of 12213 are 1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213. There are 12 integers that are factors of 12213. The greatest factor of 12213 is 12213.

4. How to Find the LCM of 12205 and 12213?

Answer:

Least Common Multiple of 12205 and 12213 = 149059665

Step 1: Find the prime factorization of 12205

12205 = 5 x 2441

Step 2: Find the prime factorization of 12213

12213 = 3 x 3 x 23 x 59

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

LCM = 149059665 = 3 x 3 x 5 x 23 x 59 x 2441

Step 4: Therefore, the least common multiple of 12205 and 12213 is 149059665.