Least Common Multiple of 5274 and 5278

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 5278 the smallest integer that is 13918086 that is divisible by both numbers.

Least Common Multiple (LCM) of 5274 and 5278 is 13918086.

LCM(5274,5278) = 13918086

LCM of 5274 and 5278

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

LCM of:
and

Least Common Multiple of 5274 and 5278

LCM of 5274 and 5278 is 13918086

Least common multiple can be found by multiplying the highest exponent prime factors of 5274 and 5278. First we will calculate the prime factors of 5274 and 5278.

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 5278


2 5278
7 2639
13 377
29 29
1

Prime factors of 5278 are 2, 7, 13,29. Prime factorization of 5278 in exponential form is:

5278 = 21×71×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5274 and 5278.

LCM(5274,5278) = 21×32×71×131×291×2931
LCM(5274,5278) = 13918086

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 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278

Least Common Multiple of 5274 and 5278 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 5278, than apply into the LCM equation.

GCF(5274,5278) = 2
LCM(5274,5278) = ( 5274 × 5278) / 2
LCM(5274,5278) = 27836172 / 2
LCM(5274,5278) = 13918086

Properties of LCM 5274 and 5278

(i) The LCM of 5278 and 5274 is associative

LCM of 5274 and 5278 = LCM of 5278 and 5274

Related Least Common Multiples of 5274

Related Least Common Multiples of 5278

Frequently Asked Questions on LCM of 5274 and 5278

1. What is the LCM of 5274 and 5278?

Answer: LCM of 5274 and 5278 is 13918086.

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 5278?

Answer: Factors of 5278 are 1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278. There are 16 integers that are factors of 5278. The greatest factor of 5278 is 5278.

4. How to Find the LCM of 5274 and 5278?

Answer:

Least Common Multiple of 5274 and 5278 = 13918086

Step 1: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

Step 2: Find the prime factorization of 5278

5278 = 2 x 7 x 13 x 29

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

LCM = 13918086 = 2 x 3 x 3 x 7 x 13 x 29 x 293

Step 4: Therefore, the least common multiple of 5274 and 5278 is 13918086.