Least Common Multiple of 9204 and 9210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9204 and 9210 the smallest integer that is 14128140 that is divisible by both numbers.

Least Common Multiple (LCM) of 9204 and 9210 is 14128140.

LCM(9204,9210) = 14128140

LCM of 9204 and 9210

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

LCM of:
and

Least Common Multiple of 9204 and 9210

LCM of 9204 and 9210 is 14128140

Least common multiple can be found by multiplying the highest exponent prime factors of 9204 and 9210. First we will calculate the prime factors of 9204 and 9210.

Prime Factorization of 9204


2 9204
2 4602
3 2301
13 767
59 59
1

Prime factors of 9204 are 2, 3, 13,59. Prime factorization of 9204 in exponential form is:

9204 = 22×31×131×591

Prime Factorization of 9210


2 9210
3 4605
5 1535
307 307
1

Prime factors of 9210 are 2, 3, 5,307. Prime factorization of 9210 in exponential form is:

9210 = 21×31×51×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 9204 and 9210.

LCM(9204,9210) = 22×31×51×131×591×3071
LCM(9204,9210) = 14128140

Factors of 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210

Least Common Multiple of 9204 and 9210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9204 and 9210, than apply into the LCM equation.

GCF(9204,9210) = 6
LCM(9204,9210) = ( 9204 × 9210) / 6
LCM(9204,9210) = 84768840 / 6
LCM(9204,9210) = 14128140

Properties of LCM 9204 and 9210

(i) The LCM of 9210 and 9204 is associative

LCM of 9204 and 9210 = LCM of 9210 and 9204

Related Least Common Multiples of 9204

Related Least Common Multiples of 9210

Frequently Asked Questions on LCM of 9204 and 9210

1. What is the LCM of 9204 and 9210?

Answer: LCM of 9204 and 9210 is 14128140.

2. What are the Factors of 9204?

Answer: Factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204. There are 24 integers that are factors of 9204. The greatest factor of 9204 is 9204.

3. What are the Factors of 9210?

Answer: Factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210. There are 16 integers that are factors of 9210. The greatest factor of 9210 is 9210.

4. How to Find the LCM of 9204 and 9210?

Answer:

Least Common Multiple of 9204 and 9210 = 14128140

Step 1: Find the prime factorization of 9204

9204 = 2 x 2 x 3 x 13 x 59

Step 2: Find the prime factorization of 9210

9210 = 2 x 3 x 5 x 307

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

LCM = 14128140 = 2 x 2 x 3 x 5 x 13 x 59 x 307

Step 4: Therefore, the least common multiple of 9204 and 9210 is 14128140.