Least Common Multiple of 9236 and 9240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9236 and 9240 the smallest integer that is 21335160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9236 and 9240 is 21335160.

LCM(9236,9240) = 21335160

LCM of 9236 and 9240

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

LCM of:
and

Least Common Multiple of 9236 and 9240

LCM of 9236 and 9240 is 21335160

Least common multiple can be found by multiplying the highest exponent prime factors of 9236 and 9240. First we will calculate the prime factors of 9236 and 9240.

Prime Factorization of 9236


2 9236
2 4618
2309 2309
1

Prime factors of 9236 are 2,2309. Prime factorization of 9236 in exponential form is:

9236 = 22×23091

Prime Factorization of 9240


2 9240
2 4620
2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 9240 are 2, 3, 5, 7,11. Prime factorization of 9240 in exponential form is:

9240 = 23×31×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 9236 and 9240.

LCM(9236,9240) = 23×31×51×71×111×23091
LCM(9236,9240) = 21335160

Factors of 9236

List of positive integer factors of 9236 that divides 9236 without a remainder.

1, 2, 4, 2309, 4618, 9236

Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240

Least Common Multiple of 9236 and 9240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9236 and 9240, than apply into the LCM equation.

GCF(9236,9240) = 4
LCM(9236,9240) = ( 9236 × 9240) / 4
LCM(9236,9240) = 85340640 / 4
LCM(9236,9240) = 21335160

Properties of LCM 9236 and 9240

(i) The LCM of 9240 and 9236 is associative

LCM of 9236 and 9240 = LCM of 9240 and 9236

Related Least Common Multiples of 9236

Related Least Common Multiples of 9240

Frequently Asked Questions on LCM of 9236 and 9240

1. What is the LCM of 9236 and 9240?

Answer: LCM of 9236 and 9240 is 21335160.

2. What are the Factors of 9236?

Answer: Factors of 9236 are 1, 2, 4, 2309, 4618, 9236. There are 6 integers that are factors of 9236. The greatest factor of 9236 is 9236.

3. What are the Factors of 9240?

Answer: Factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240. There are 64 integers that are factors of 9240. The greatest factor of 9240 is 9240.

4. How to Find the LCM of 9236 and 9240?

Answer:

Least Common Multiple of 9236 and 9240 = 21335160

Step 1: Find the prime factorization of 9236

9236 = 2 x 2 x 2309

Step 2: Find the prime factorization of 9240

9240 = 2 x 2 x 2 x 3 x 5 x 7 x 11

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

LCM = 21335160 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 2309

Step 4: Therefore, the least common multiple of 9236 and 9240 is 21335160.