Least Common Multiple of 5266 and 5272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5266 and 5272 the smallest integer that is 13881176 that is divisible by both numbers.

Least Common Multiple (LCM) of 5266 and 5272 is 13881176.

LCM(5266,5272) = 13881176

LCM of 5266 and 5272

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

LCM of:
and

Least Common Multiple of 5266 and 5272

LCM of 5266 and 5272 is 13881176

Least common multiple can be found by multiplying the highest exponent prime factors of 5266 and 5272. First we will calculate the prime factors of 5266 and 5272.

Prime Factorization of 5266


2 5266
2633 2633
1

Prime factors of 5266 are 2,2633. Prime factorization of 5266 in exponential form is:

5266 = 21×26331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5266 and 5272.

LCM(5266,5272) = 23×6591×26331
LCM(5266,5272) = 13881176

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1, 2, 2633, 5266

Factors of 5272

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

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

Least Common Multiple of 5266 and 5272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5266 and 5272, than apply into the LCM equation.

GCF(5266,5272) = 2
LCM(5266,5272) = ( 5266 × 5272) / 2
LCM(5266,5272) = 27762352 / 2
LCM(5266,5272) = 13881176

Properties of LCM 5266 and 5272

(i) The LCM of 5272 and 5266 is associative

LCM of 5266 and 5272 = LCM of 5272 and 5266

Related Least Common Multiples of 5266

Related Least Common Multiples of 5272

Frequently Asked Questions on LCM of 5266 and 5272

1. What is the LCM of 5266 and 5272?

Answer: LCM of 5266 and 5272 is 13881176.

2. What are the Factors of 5266?

Answer: Factors of 5266 are 1, 2, 2633, 5266. There are 4 integers that are factors of 5266. The greatest factor of 5266 is 5266.

3. 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.

4. How to Find the LCM of 5266 and 5272?

Answer:

Least Common Multiple of 5266 and 5272 = 13881176

Step 1: Find the prime factorization of 5266

5266 = 2 x 2633

Step 2: Find the prime factorization of 5272

5272 = 2 x 2 x 2 x 659

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

LCM = 13881176 = 2 x 2 x 2 x 659 x 2633

Step 4: Therefore, the least common multiple of 5266 and 5272 is 13881176.