Least Common Multiple of 9258 and 9264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9258 and 9264 the smallest integer that is 14294352 that is divisible by both numbers.

Least Common Multiple (LCM) of 9258 and 9264 is 14294352.

LCM(9258,9264) = 14294352

LCM of 9258 and 9264

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

LCM of:
and

Least Common Multiple of 9258 and 9264

LCM of 9258 and 9264 is 14294352

Least common multiple can be found by multiplying the highest exponent prime factors of 9258 and 9264. First we will calculate the prime factors of 9258 and 9264.

Prime Factorization of 9258


2 9258
3 4629
1543 1543
1

Prime factors of 9258 are 2, 3,1543. Prime factorization of 9258 in exponential form is:

9258 = 21×31×15431

Prime Factorization of 9264


2 9264
2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 9264 are 2, 3,193. Prime factorization of 9264 in exponential form is:

9264 = 24×31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9258 and 9264.

LCM(9258,9264) = 24×31×1931×15431
LCM(9258,9264) = 14294352

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1, 2, 3, 6, 1543, 3086, 4629, 9258

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264

Least Common Multiple of 9258 and 9264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9258 and 9264, than apply into the LCM equation.

GCF(9258,9264) = 6
LCM(9258,9264) = ( 9258 × 9264) / 6
LCM(9258,9264) = 85766112 / 6
LCM(9258,9264) = 14294352

Properties of LCM 9258 and 9264

(i) The LCM of 9264 and 9258 is associative

LCM of 9258 and 9264 = LCM of 9264 and 9258

Related Least Common Multiples of 9258

Related Least Common Multiples of 9264

Frequently Asked Questions on LCM of 9258 and 9264

1. What is the LCM of 9258 and 9264?

Answer: LCM of 9258 and 9264 is 14294352.

2. What are the Factors of 9258?

Answer: Factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258. There are 8 integers that are factors of 9258. The greatest factor of 9258 is 9258.

3. What are the Factors of 9264?

Answer: Factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264. There are 20 integers that are factors of 9264. The greatest factor of 9264 is 9264.

4. How to Find the LCM of 9258 and 9264?

Answer:

Least Common Multiple of 9258 and 9264 = 14294352

Step 1: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

Step 2: Find the prime factorization of 9264

9264 = 2 x 2 x 2 x 2 x 3 x 193

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

LCM = 14294352 = 2 x 2 x 2 x 2 x 3 x 193 x 1543

Step 4: Therefore, the least common multiple of 9258 and 9264 is 14294352.