Least Common Multiple of 12204 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 12204 and 12212 the smallest integer that is 37258812 that is divisible by both numbers.

Least Common Multiple (LCM) of 12204 and 12212 is 37258812.

LCM(12204,12212) = 37258812

LCM of 12204 and 12212

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

LCM of:
and

Least Common Multiple of 12204 and 12212

LCM of 12204 and 12212 is 37258812

Least common multiple can be found by multiplying the highest exponent prime factors of 12204 and 12212. First we will calculate the prime factors of 12204 and 12212.

Prime Factorization of 12204


2 12204
2 6102
3 3051
3 1017
3 339
113 113
1

Prime factors of 12204 are 2, 3,113. Prime factorization of 12204 in exponential form is:

12204 = 22×33×1131

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 12204 and 12212.

LCM(12204,12212) = 22×33×431×711×1131
LCM(12204,12212) = 37258812

Factors of 12204

List of positive integer factors of 12204 that divides 12204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 113, 226, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102, 12204

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 12204 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 12204 and 12212, than apply into the LCM equation.

GCF(12204,12212) = 4
LCM(12204,12212) = ( 12204 × 12212) / 4
LCM(12204,12212) = 149035248 / 4
LCM(12204,12212) = 37258812

Properties of LCM 12204 and 12212

(i) The LCM of 12212 and 12204 is associative

LCM of 12204 and 12212 = LCM of 12212 and 12204

Related Least Common Multiples of 12204

Related Least Common Multiples of 12212

Frequently Asked Questions on LCM of 12204 and 12212

1. What is the LCM of 12204 and 12212?

Answer: LCM of 12204 and 12212 is 37258812.

2. What are the Factors of 12204?

Answer: Factors of 12204 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 113, 226, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102, 12204. There are 24 integers that are factors of 12204. The greatest factor of 12204 is 12204.

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 12204 and 12212?

Answer:

Least Common Multiple of 12204 and 12212 = 37258812

Step 1: Find the prime factorization of 12204

12204 = 2 x 2 x 3 x 3 x 3 x 113

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 = 37258812 = 2 x 2 x 3 x 3 x 3 x 43 x 71 x 113

Step 4: Therefore, the least common multiple of 12204 and 12212 is 37258812.