Least Common Multiple of 9204 and 9212

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 9212 the smallest integer that is 21196812 that is divisible by both numbers.

Least Common Multiple (LCM) of 9204 and 9212 is 21196812.

LCM(9204,9212) = 21196812

LCM of 9204 and 9212

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

LCM of:
and

Least Common Multiple of 9204 and 9212

LCM of 9204 and 9212 is 21196812

Least common multiple can be found by multiplying the highest exponent prime factors of 9204 and 9212. First we will calculate the prime factors of 9204 and 9212.

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 9212


2 9212
2 4606
7 2303
7 329
47 47
1

Prime factors of 9212 are 2, 7,47. Prime factorization of 9212 in exponential form is:

9212 = 22×72×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9204 and 9212.

LCM(9204,9212) = 22×31×72×131×471×591
LCM(9204,9212) = 21196812

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 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212

Least Common Multiple of 9204 and 9212 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 9212, than apply into the LCM equation.

GCF(9204,9212) = 4
LCM(9204,9212) = ( 9204 × 9212) / 4
LCM(9204,9212) = 84787248 / 4
LCM(9204,9212) = 21196812

Properties of LCM 9204 and 9212

(i) The LCM of 9212 and 9204 is associative

LCM of 9204 and 9212 = LCM of 9212 and 9204

Related Least Common Multiples of 9204

Related Least Common Multiples of 9212

Frequently Asked Questions on LCM of 9204 and 9212

1. What is the LCM of 9204 and 9212?

Answer: LCM of 9204 and 9212 is 21196812.

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 9212?

Answer: Factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212. There are 18 integers that are factors of 9212. The greatest factor of 9212 is 9212.

4. How to Find the LCM of 9204 and 9212?

Answer:

Least Common Multiple of 9204 and 9212 = 21196812

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 9212

9212 = 2 x 2 x 7 x 7 x 47

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

LCM = 21196812 = 2 x 2 x 3 x 7 x 7 x 13 x 47 x 59

Step 4: Therefore, the least common multiple of 9204 and 9212 is 21196812.