Least Common Multiple of 3274 and 3282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3274 and 3282 the smallest integer that is 5372634 that is divisible by both numbers.

Least Common Multiple (LCM) of 3274 and 3282 is 5372634.

LCM(3274,3282) = 5372634

LCM of 3274 and 3282

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

LCM of:
and

Least Common Multiple of 3274 and 3282

LCM of 3274 and 3282 is 5372634

Least common multiple can be found by multiplying the highest exponent prime factors of 3274 and 3282. First we will calculate the prime factors of 3274 and 3282.

Prime Factorization of 3274


2 3274
1637 1637
1

Prime factors of 3274 are 2,1637. Prime factorization of 3274 in exponential form is:

3274 = 21×16371

Prime Factorization of 3282


2 3282
3 1641
547 547
1

Prime factors of 3282 are 2, 3,547. Prime factorization of 3282 in exponential form is:

3282 = 21×31×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 3274 and 3282.

LCM(3274,3282) = 21×31×5471×16371
LCM(3274,3282) = 5372634

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1, 2, 1637, 3274

Factors of 3282

List of positive integer factors of 3282 that divides 3282 without a remainder.

1, 2, 3, 6, 547, 1094, 1641, 3282

Least Common Multiple of 3274 and 3282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3274 and 3282, than apply into the LCM equation.

GCF(3274,3282) = 2
LCM(3274,3282) = ( 3274 × 3282) / 2
LCM(3274,3282) = 10745268 / 2
LCM(3274,3282) = 5372634

Properties of LCM 3274 and 3282

(i) The LCM of 3282 and 3274 is associative

LCM of 3274 and 3282 = LCM of 3282 and 3274

Related Least Common Multiples of 3274

Related Least Common Multiples of 3282

Frequently Asked Questions on LCM of 3274 and 3282

1. What is the LCM of 3274 and 3282?

Answer: LCM of 3274 and 3282 is 5372634.

2. What are the Factors of 3274?

Answer: Factors of 3274 are 1, 2, 1637, 3274. There are 4 integers that are factors of 3274. The greatest factor of 3274 is 3274.

3. What are the Factors of 3282?

Answer: Factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282. There are 8 integers that are factors of 3282. The greatest factor of 3282 is 3282.

4. How to Find the LCM of 3274 and 3282?

Answer:

Least Common Multiple of 3274 and 3282 = 5372634

Step 1: Find the prime factorization of 3274

3274 = 2 x 1637

Step 2: Find the prime factorization of 3282

3282 = 2 x 3 x 547

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

LCM = 5372634 = 2 x 3 x 547 x 1637

Step 4: Therefore, the least common multiple of 3274 and 3282 is 5372634.