Least Common Multiple of 7274 and 7282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7274 and 7282 the smallest integer that is 26484634 that is divisible by both numbers.

Least Common Multiple (LCM) of 7274 and 7282 is 26484634.

LCM(7274,7282) = 26484634

LCM of 7274 and 7282

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

LCM of:
and

Least Common Multiple of 7274 and 7282

LCM of 7274 and 7282 is 26484634

Least common multiple can be found by multiplying the highest exponent prime factors of 7274 and 7282. First we will calculate the prime factors of 7274 and 7282.

Prime Factorization of 7274


2 7274
3637 3637
1

Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:

7274 = 21×36371

Prime Factorization of 7282


2 7282
11 3641
331 331
1

Prime factors of 7282 are 2, 11,331. Prime factorization of 7282 in exponential form is:

7282 = 21×111×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 7274 and 7282.

LCM(7274,7282) = 21×111×3311×36371
LCM(7274,7282) = 26484634

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1, 2, 3637, 7274

Factors of 7282

List of positive integer factors of 7282 that divides 7282 without a remainder.

1, 2, 11, 22, 331, 662, 3641, 7282

Least Common Multiple of 7274 and 7282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7274 and 7282, than apply into the LCM equation.

GCF(7274,7282) = 2
LCM(7274,7282) = ( 7274 × 7282) / 2
LCM(7274,7282) = 52969268 / 2
LCM(7274,7282) = 26484634

Properties of LCM 7274 and 7282

(i) The LCM of 7282 and 7274 is associative

LCM of 7274 and 7282 = LCM of 7282 and 7274

Related Least Common Multiples of 7274

Related Least Common Multiples of 7282

Frequently Asked Questions on LCM of 7274 and 7282

1. What is the LCM of 7274 and 7282?

Answer: LCM of 7274 and 7282 is 26484634.

2. What are the Factors of 7274?

Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.

3. What are the Factors of 7282?

Answer: Factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282. There are 8 integers that are factors of 7282. The greatest factor of 7282 is 7282.

4. How to Find the LCM of 7274 and 7282?

Answer:

Least Common Multiple of 7274 and 7282 = 26484634

Step 1: Find the prime factorization of 7274

7274 = 2 x 3637

Step 2: Find the prime factorization of 7282

7282 = 2 x 11 x 331

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

LCM = 26484634 = 2 x 11 x 331 x 3637

Step 4: Therefore, the least common multiple of 7274 and 7282 is 26484634.