Least Common Multiple of 9274 and 9282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9274 and 9282 the smallest integer that is 43040634 that is divisible by both numbers.

Least Common Multiple (LCM) of 9274 and 9282 is 43040634.

LCM(9274,9282) = 43040634

LCM of 9274 and 9282

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

LCM of:
and

Least Common Multiple of 9274 and 9282

LCM of 9274 and 9282 is 43040634

Least common multiple can be found by multiplying the highest exponent prime factors of 9274 and 9282. First we will calculate the prime factors of 9274 and 9282.

Prime Factorization of 9274


2 9274
4637 4637
1

Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:

9274 = 21×46371

Prime Factorization of 9282


2 9282
3 4641
7 1547
13 221
17 17
1

Prime factors of 9282 are 2, 3, 7, 13,17. Prime factorization of 9282 in exponential form is:

9282 = 21×31×71×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9274 and 9282.

LCM(9274,9282) = 21×31×71×131×171×46371
LCM(9274,9282) = 43040634

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1, 2, 4637, 9274

Factors of 9282

List of positive integer factors of 9282 that divides 9282 without a remainder.

1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282

Least Common Multiple of 9274 and 9282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9274 and 9282, than apply into the LCM equation.

GCF(9274,9282) = 2
LCM(9274,9282) = ( 9274 × 9282) / 2
LCM(9274,9282) = 86081268 / 2
LCM(9274,9282) = 43040634

Properties of LCM 9274 and 9282

(i) The LCM of 9282 and 9274 is associative

LCM of 9274 and 9282 = LCM of 9282 and 9274

Frequently Asked Questions on LCM of 9274 and 9282

1. What is the LCM of 9274 and 9282?

Answer: LCM of 9274 and 9282 is 43040634.

2. What are the Factors of 9274?

Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.

3. What are the Factors of 9282?

Answer: Factors of 9282 are 1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282. There are 32 integers that are factors of 9282. The greatest factor of 9282 is 9282.

4. How to Find the LCM of 9274 and 9282?

Answer:

Least Common Multiple of 9274 and 9282 = 43040634

Step 1: Find the prime factorization of 9274

9274 = 2 x 4637

Step 2: Find the prime factorization of 9282

9282 = 2 x 3 x 7 x 13 x 17

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

LCM = 43040634 = 2 x 3 x 7 x 13 x 17 x 4637

Step 4: Therefore, the least common multiple of 9274 and 9282 is 43040634.