Least Common Multiple of 12205 and 12212

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 12212 the smallest integer that is 149047460 that is divisible by both numbers.

Least Common Multiple (LCM) of 12205 and 12212 is 149047460.

LCM(12205,12212) = 149047460

LCM of 12205 and 12212

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

LCM of:
and

Least Common Multiple of 12205 and 12212

LCM of 12205 and 12212 is 149047460

Least common multiple can be found by multiplying the highest exponent prime factors of 12205 and 12212. First we will calculate the prime factors of 12205 and 12212.

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 12212


2 12212
2 6106
43 3053
71 71
1

Prime factors of 12212 are 2, 43,71. Prime factorization of 12212 in exponential form is:

12212 = 22×431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 12205 and 12212.

LCM(12205,12212) = 22×51×431×711×24411
LCM(12205,12212) = 149047460

Factors of 12205

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

1, 5, 2441, 12205

Factors of 12212

List of positive integer factors of 12212 that divides 12212 without a remainder.

1, 2, 4, 43, 71, 86, 142, 172, 284, 3053, 6106, 12212

Least Common Multiple of 12205 and 12212 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 12212, than apply into the LCM equation.

GCF(12205,12212) = 1
LCM(12205,12212) = ( 12205 × 12212) / 1
LCM(12205,12212) = 149047460 / 1
LCM(12205,12212) = 149047460

Properties of LCM 12205 and 12212

(i) The LCM of 12212 and 12205 is associative

LCM of 12205 and 12212 = LCM of 12212 and 12205

Related Least Common Multiples of 12205

Related Least Common Multiples of 12212

Frequently Asked Questions on LCM of 12205 and 12212

1. What is the LCM of 12205 and 12212?

Answer: LCM of 12205 and 12212 is 149047460.

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 12212?

Answer: Factors of 12212 are 1, 2, 4, 43, 71, 86, 142, 172, 284, 3053, 6106, 12212. There are 12 integers that are factors of 12212. The greatest factor of 12212 is 12212.

4. How to Find the LCM of 12205 and 12212?

Answer:

Least Common Multiple of 12205 and 12212 = 149047460

Step 1: Find the prime factorization of 12205

12205 = 5 x 2441

Step 2: Find the prime factorization of 12212

12212 = 2 x 2 x 43 x 71

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

LCM = 149047460 = 2 x 2 x 5 x 43 x 71 x 2441

Step 4: Therefore, the least common multiple of 12205 and 12212 is 149047460.