Least Common Multiple of 5264 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 5264 and 5272 the smallest integer that is 3468976 that is divisible by both numbers.

Least Common Multiple (LCM) of 5264 and 5272 is 3468976.

LCM(5264,5272) = 3468976

LCM of 5264 and 5272

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

LCM of:
and

Least Common Multiple of 5264 and 5272

LCM of 5264 and 5272 is 3468976

Least common multiple can be found by multiplying the highest exponent prime factors of 5264 and 5272. First we will calculate the prime factors of 5264 and 5272.

Prime Factorization of 5264


2 5264
2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 5264 are 2, 7,47. Prime factorization of 5264 in exponential form is:

5264 = 24×71×471

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 5264 and 5272.

LCM(5264,5272) = 24×71×471×6591
LCM(5264,5272) = 3468976

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264

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 5264 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 5264 and 5272, than apply into the LCM equation.

GCF(5264,5272) = 8
LCM(5264,5272) = ( 5264 × 5272) / 8
LCM(5264,5272) = 27751808 / 8
LCM(5264,5272) = 3468976

Properties of LCM 5264 and 5272

(i) The LCM of 5272 and 5264 is associative

LCM of 5264 and 5272 = LCM of 5272 and 5264

Related Least Common Multiples of 5264

Related Least Common Multiples of 5272

Frequently Asked Questions on LCM of 5264 and 5272

1. What is the LCM of 5264 and 5272?

Answer: LCM of 5264 and 5272 is 3468976.

2. What are the Factors of 5264?

Answer: Factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. There are 20 integers that are factors of 5264. The greatest factor of 5264 is 5264.

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 5264 and 5272?

Answer:

Least Common Multiple of 5264 and 5272 = 3468976

Step 1: Find the prime factorization of 5264

5264 = 2 x 2 x 2 x 2 x 7 x 47

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 = 3468976 = 2 x 2 x 2 x 2 x 7 x 47 x 659

Step 4: Therefore, the least common multiple of 5264 and 5272 is 3468976.