Least Common Multiple of 9204 and 9209

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 9209 the smallest integer that is 84759636 that is divisible by both numbers.

Least Common Multiple (LCM) of 9204 and 9209 is 84759636.

LCM(9204,9209) = 84759636

LCM of 9204 and 9209

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

LCM of:
and

Least Common Multiple of 9204 and 9209

LCM of 9204 and 9209 is 84759636

Least common multiple can be found by multiplying the highest exponent prime factors of 9204 and 9209. First we will calculate the prime factors of 9204 and 9209.

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 9209


9209 9209
1

Prime factors of 9209 are 9209. Prime factorization of 9209 in exponential form is:

9209 = 92091

Now multiplying the highest exponent prime factors to calculate the LCM of 9204 and 9209.

LCM(9204,9209) = 22×31×131×591×92091
LCM(9204,9209) = 84759636

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 9209

List of positive integer factors of 9209 that divides 9209 without a remainder.

1, 9209

Least Common Multiple of 9204 and 9209 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 9209, than apply into the LCM equation.

GCF(9204,9209) = 1
LCM(9204,9209) = ( 9204 × 9209) / 1
LCM(9204,9209) = 84759636 / 1
LCM(9204,9209) = 84759636

Properties of LCM 9204 and 9209

(i) The LCM of 9209 and 9204 is associative

LCM of 9204 and 9209 = LCM of 9209 and 9204

Related Least Common Multiples of 9204

Related Least Common Multiples of 9209

Frequently Asked Questions on LCM of 9204 and 9209

1. What is the LCM of 9204 and 9209?

Answer: LCM of 9204 and 9209 is 84759636.

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 9209?

Answer: Factors of 9209 are 1, 9209. There are 2 integers that are factors of 9209. The greatest factor of 9209 is 9209.

4. How to Find the LCM of 9204 and 9209?

Answer:

Least Common Multiple of 9204 and 9209 = 84759636

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 9209

9209 = 9209

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

LCM = 84759636 = 2 x 2 x 3 x 13 x 59 x 9209

Step 4: Therefore, the least common multiple of 9204 and 9209 is 84759636.