Least Common Multiple of 9240 and 9244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9240 and 9244 the smallest integer that is 21353640 that is divisible by both numbers.

Least Common Multiple (LCM) of 9240 and 9244 is 21353640.

LCM(9240,9244) = 21353640

LCM of 9240 and 9244

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

LCM of:
and

Least Common Multiple of 9240 and 9244

LCM of 9240 and 9244 is 21353640

Least common multiple can be found by multiplying the highest exponent prime factors of 9240 and 9244. First we will calculate the prime factors of 9240 and 9244.

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

Prime Factorization of 9244


2 9244
2 4622
2311 2311
1

Prime factors of 9244 are 2,2311. Prime factorization of 9244 in exponential form is:

9244 = 22×23111

Now multiplying the highest exponent prime factors to calculate the LCM of 9240 and 9244.

LCM(9240,9244) = 23×31×51×71×111×23111
LCM(9240,9244) = 21353640

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

Factors of 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1, 2, 4, 2311, 4622, 9244

Least Common Multiple of 9240 and 9244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9240 and 9244, than apply into the LCM equation.

GCF(9240,9244) = 4
LCM(9240,9244) = ( 9240 × 9244) / 4
LCM(9240,9244) = 85414560 / 4
LCM(9240,9244) = 21353640

Properties of LCM 9240 and 9244

(i) The LCM of 9244 and 9240 is associative

LCM of 9240 and 9244 = LCM of 9244 and 9240

Related Least Common Multiples of 9240

Related Least Common Multiples of 9244

Frequently Asked Questions on LCM of 9240 and 9244

1. What is the LCM of 9240 and 9244?

Answer: LCM of 9240 and 9244 is 21353640.

2. 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.

3. What are the Factors of 9244?

Answer: Factors of 9244 are 1, 2, 4, 2311, 4622, 9244. There are 6 integers that are factors of 9244. The greatest factor of 9244 is 9244.

4. How to Find the LCM of 9240 and 9244?

Answer:

Least Common Multiple of 9240 and 9244 = 21353640

Step 1: Find the prime factorization of 9240

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

Step 2: Find the prime factorization of 9244

9244 = 2 x 2 x 2311

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

LCM = 21353640 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 2311

Step 4: Therefore, the least common multiple of 9240 and 9244 is 21353640.