Least Common Multiple of 5274 and 5282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5274 and 5282 the smallest integer that is 13928634 that is divisible by both numbers.

Least Common Multiple (LCM) of 5274 and 5282 is 13928634.

LCM(5274,5282) = 13928634

LCM of 5274 and 5282

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

LCM of:
and

Least Common Multiple of 5274 and 5282

LCM of 5274 and 5282 is 13928634

Least common multiple can be found by multiplying the highest exponent prime factors of 5274 and 5282. First we will calculate the prime factors of 5274 and 5282.

Prime Factorization of 5274


2 5274
3 2637
3 879
293 293
1

Prime factors of 5274 are 2, 3,293. Prime factorization of 5274 in exponential form is:

5274 = 21×32×2931

Prime Factorization of 5282


2 5282
19 2641
139 139
1

Prime factors of 5282 are 2, 19,139. Prime factorization of 5282 in exponential form is:

5282 = 21×191×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5274 and 5282.

LCM(5274,5282) = 21×32×191×1391×2931
LCM(5274,5282) = 13928634

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274

Factors of 5282

List of positive integer factors of 5282 that divides 5282 without a remainder.

1, 2, 19, 38, 139, 278, 2641, 5282

Least Common Multiple of 5274 and 5282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5274 and 5282, than apply into the LCM equation.

GCF(5274,5282) = 2
LCM(5274,5282) = ( 5274 × 5282) / 2
LCM(5274,5282) = 27857268 / 2
LCM(5274,5282) = 13928634

Properties of LCM 5274 and 5282

(i) The LCM of 5282 and 5274 is associative

LCM of 5274 and 5282 = LCM of 5282 and 5274

Related Least Common Multiples of 5274

Related Least Common Multiples of 5282

Frequently Asked Questions on LCM of 5274 and 5282

1. What is the LCM of 5274 and 5282?

Answer: LCM of 5274 and 5282 is 13928634.

2. What are the Factors of 5274?

Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.

3. What are the Factors of 5282?

Answer: Factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282. There are 8 integers that are factors of 5282. The greatest factor of 5282 is 5282.

4. How to Find the LCM of 5274 and 5282?

Answer:

Least Common Multiple of 5274 and 5282 = 13928634

Step 1: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

Step 2: Find the prime factorization of 5282

5282 = 2 x 19 x 139

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

LCM = 13928634 = 2 x 3 x 3 x 19 x 139 x 293

Step 4: Therefore, the least common multiple of 5274 and 5282 is 13928634.