Least Common Multiple of 9252 and 9258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9252 and 9258 the smallest integer that is 14275836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9252 and 9258 is 14275836.

LCM(9252,9258) = 14275836

LCM of 9252 and 9258

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

LCM of:
and

Least Common Multiple of 9252 and 9258

LCM of 9252 and 9258 is 14275836

Least common multiple can be found by multiplying the highest exponent prime factors of 9252 and 9258. First we will calculate the prime factors of 9252 and 9258.

Prime Factorization of 9252


2 9252
2 4626
3 2313
3 771
257 257
1

Prime factors of 9252 are 2, 3,257. Prime factorization of 9252 in exponential form is:

9252 = 22×32×2571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9252 and 9258.

LCM(9252,9258) = 22×32×2571×15431
LCM(9252,9258) = 14275836

Factors of 9252

List of positive integer factors of 9252 that divides 9252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252

Factors of 9258

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

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

Least Common Multiple of 9252 and 9258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9252 and 9258, than apply into the LCM equation.

GCF(9252,9258) = 6
LCM(9252,9258) = ( 9252 × 9258) / 6
LCM(9252,9258) = 85655016 / 6
LCM(9252,9258) = 14275836

Properties of LCM 9252 and 9258

(i) The LCM of 9258 and 9252 is associative

LCM of 9252 and 9258 = LCM of 9258 and 9252

Related Least Common Multiples of 9252

Related Least Common Multiples of 9258

Frequently Asked Questions on LCM of 9252 and 9258

1. What is the LCM of 9252 and 9258?

Answer: LCM of 9252 and 9258 is 14275836.

2. What are the Factors of 9252?

Answer: Factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252. There are 18 integers that are factors of 9252. The greatest factor of 9252 is 9252.

3. 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.

4. How to Find the LCM of 9252 and 9258?

Answer:

Least Common Multiple of 9252 and 9258 = 14275836

Step 1: Find the prime factorization of 9252

9252 = 2 x 2 x 3 x 3 x 257

Step 2: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

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

LCM = 14275836 = 2 x 2 x 3 x 3 x 257 x 1543

Step 4: Therefore, the least common multiple of 9252 and 9258 is 14275836.