Least Common Multiple of 9204 and 9208

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 9208 the smallest integer that is 21187608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9204 and 9208 is 21187608.

LCM(9204,9208) = 21187608

LCM of 9204 and 9208

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

LCM of:
and

Least Common Multiple of 9204 and 9208

LCM of 9204 and 9208 is 21187608

Least common multiple can be found by multiplying the highest exponent prime factors of 9204 and 9208. First we will calculate the prime factors of 9204 and 9208.

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 9208


2 9208
2 4604
2 2302
1151 1151
1

Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:

9208 = 23×11511

Now multiplying the highest exponent prime factors to calculate the LCM of 9204 and 9208.

LCM(9204,9208) = 23×31×131×591×11511
LCM(9204,9208) = 21187608

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 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1, 2, 4, 8, 1151, 2302, 4604, 9208

Least Common Multiple of 9204 and 9208 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 9208, than apply into the LCM equation.

GCF(9204,9208) = 4
LCM(9204,9208) = ( 9204 × 9208) / 4
LCM(9204,9208) = 84750432 / 4
LCM(9204,9208) = 21187608

Properties of LCM 9204 and 9208

(i) The LCM of 9208 and 9204 is associative

LCM of 9204 and 9208 = LCM of 9208 and 9204

Related Least Common Multiples of 9204

Related Least Common Multiples of 9208

Frequently Asked Questions on LCM of 9204 and 9208

1. What is the LCM of 9204 and 9208?

Answer: LCM of 9204 and 9208 is 21187608.

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 9208?

Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.

4. How to Find the LCM of 9204 and 9208?

Answer:

Least Common Multiple of 9204 and 9208 = 21187608

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 9208

9208 = 2 x 2 x 2 x 1151

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

LCM = 21187608 = 2 x 2 x 2 x 3 x 13 x 59 x 1151

Step 4: Therefore, the least common multiple of 9204 and 9208 is 21187608.