Least Common Multiple of 5272 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 5272 and 5278 the smallest integer that is 13912808 that is divisible by both numbers.

Least Common Multiple (LCM) of 5272 and 5278 is 13912808.

LCM(5272,5278) = 13912808

LCM of 5272 and 5278

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

LCM of:
and

Least Common Multiple of 5272 and 5278

LCM of 5272 and 5278 is 13912808

Least common multiple can be found by multiplying the highest exponent prime factors of 5272 and 5278. First we will calculate the prime factors of 5272 and 5278.

Prime Factorization of 5272


2 5272
2 2636
2 1318
659 659
1

Prime factors of 5272 are 2,659. Prime factorization of 5272 in exponential form is:

5272 = 23×6591

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 5272 and 5278.

LCM(5272,5278) = 23×71×131×291×6591
LCM(5272,5278) = 13912808

Factors of 5272

List of positive integer factors of 5272 that divides 5272 without a remainder.

1, 2, 4, 8, 659, 1318, 2636, 5272

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 5272 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 5272 and 5278, than apply into the LCM equation.

GCF(5272,5278) = 2
LCM(5272,5278) = ( 5272 × 5278) / 2
LCM(5272,5278) = 27825616 / 2
LCM(5272,5278) = 13912808

Properties of LCM 5272 and 5278

(i) The LCM of 5278 and 5272 is associative

LCM of 5272 and 5278 = LCM of 5278 and 5272

Related Least Common Multiples of 5272

Related Least Common Multiples of 5278

Frequently Asked Questions on LCM of 5272 and 5278

1. What is the LCM of 5272 and 5278?

Answer: LCM of 5272 and 5278 is 13912808.

2. What are the Factors of 5272?

Answer: Factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272. There are 8 integers that are factors of 5272. The greatest factor of 5272 is 5272.

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 5272 and 5278?

Answer:

Least Common Multiple of 5272 and 5278 = 13912808

Step 1: Find the prime factorization of 5272

5272 = 2 x 2 x 2 x 659

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 = 13912808 = 2 x 2 x 2 x 7 x 13 x 29 x 659

Step 4: Therefore, the least common multiple of 5272 and 5278 is 13912808.