Least Common Multiple of 8274 and 8282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8274 and 8282 the smallest integer that is 34262634 that is divisible by both numbers.

Least Common Multiple (LCM) of 8274 and 8282 is 34262634.

LCM(8274,8282) = 34262634

LCM of 8274 and 8282

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

LCM of:
and

Least Common Multiple of 8274 and 8282

LCM of 8274 and 8282 is 34262634

Least common multiple can be found by multiplying the highest exponent prime factors of 8274 and 8282. First we will calculate the prime factors of 8274 and 8282.

Prime Factorization of 8274


2 8274
3 4137
7 1379
197 197
1

Prime factors of 8274 are 2, 3, 7,197. Prime factorization of 8274 in exponential form is:

8274 = 21×31×71×1971

Prime Factorization of 8282


2 8282
41 4141
101 101
1

Prime factors of 8282 are 2, 41,101. Prime factorization of 8282 in exponential form is:

8282 = 21×411×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8274 and 8282.

LCM(8274,8282) = 21×31×71×411×1011×1971
LCM(8274,8282) = 34262634

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1, 2, 41, 82, 101, 202, 4141, 8282

Least Common Multiple of 8274 and 8282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8274 and 8282, than apply into the LCM equation.

GCF(8274,8282) = 2
LCM(8274,8282) = ( 8274 × 8282) / 2
LCM(8274,8282) = 68525268 / 2
LCM(8274,8282) = 34262634

Properties of LCM 8274 and 8282

(i) The LCM of 8282 and 8274 is associative

LCM of 8274 and 8282 = LCM of 8282 and 8274

Related Least Common Multiples of 8274

Related Least Common Multiples of 8282

Frequently Asked Questions on LCM of 8274 and 8282

1. What is the LCM of 8274 and 8282?

Answer: LCM of 8274 and 8282 is 34262634.

2. What are the Factors of 8274?

Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.

3. What are the Factors of 8282?

Answer: Factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282. There are 8 integers that are factors of 8282. The greatest factor of 8282 is 8282.

4. How to Find the LCM of 8274 and 8282?

Answer:

Least Common Multiple of 8274 and 8282 = 34262634

Step 1: Find the prime factorization of 8274

8274 = 2 x 3 x 7 x 197

Step 2: Find the prime factorization of 8282

8282 = 2 x 41 x 101

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

LCM = 34262634 = 2 x 3 x 7 x 41 x 101 x 197

Step 4: Therefore, the least common multiple of 8274 and 8282 is 34262634.