Least Common Multiple of 12204 and 12210

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 12210 the smallest integer that is 24835140 that is divisible by both numbers.

Least Common Multiple (LCM) of 12204 and 12210 is 24835140.

LCM(12204,12210) = 24835140

LCM of 12204 and 12210

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

LCM of:
and

Least Common Multiple of 12204 and 12210

LCM of 12204 and 12210 is 24835140

Least common multiple can be found by multiplying the highest exponent prime factors of 12204 and 12210. First we will calculate the prime factors of 12204 and 12210.

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 12210


2 12210
3 6105
5 2035
11 407
37 37
1

Prime factors of 12210 are 2, 3, 5, 11,37. Prime factorization of 12210 in exponential form is:

12210 = 21×31×51×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 12204 and 12210.

LCM(12204,12210) = 22×33×51×111×371×1131
LCM(12204,12210) = 24835140

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 12210

List of positive integer factors of 12210 that divides 12210 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110, 111, 165, 185, 222, 330, 370, 407, 555, 814, 1110, 1221, 2035, 2442, 4070, 6105, 12210

Least Common Multiple of 12204 and 12210 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 12210, than apply into the LCM equation.

GCF(12204,12210) = 6
LCM(12204,12210) = ( 12204 × 12210) / 6
LCM(12204,12210) = 149010840 / 6
LCM(12204,12210) = 24835140

Properties of LCM 12204 and 12210

(i) The LCM of 12210 and 12204 is associative

LCM of 12204 and 12210 = LCM of 12210 and 12204

Related Least Common Multiples of 12204

Related Least Common Multiples of 12210

Frequently Asked Questions on LCM of 12204 and 12210

1. What is the LCM of 12204 and 12210?

Answer: LCM of 12204 and 12210 is 24835140.

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 12210?

Answer: Factors of 12210 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110, 111, 165, 185, 222, 330, 370, 407, 555, 814, 1110, 1221, 2035, 2442, 4070, 6105, 12210. There are 32 integers that are factors of 12210. The greatest factor of 12210 is 12210.

4. How to Find the LCM of 12204 and 12210?

Answer:

Least Common Multiple of 12204 and 12210 = 24835140

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 12210

12210 = 2 x 3 x 5 x 11 x 37

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

LCM = 24835140 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 37 x 113

Step 4: Therefore, the least common multiple of 12204 and 12210 is 24835140.