Least Common Multiple of 5272 and 5276

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 5276 the smallest integer that is 6953768 that is divisible by both numbers.

Least Common Multiple (LCM) of 5272 and 5276 is 6953768.

LCM(5272,5276) = 6953768

LCM of 5272 and 5276

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

LCM of:
and

Least Common Multiple of 5272 and 5276

LCM of 5272 and 5276 is 6953768

Least common multiple can be found by multiplying the highest exponent prime factors of 5272 and 5276. First we will calculate the prime factors of 5272 and 5276.

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 5276


2 5276
2 2638
1319 1319
1

Prime factors of 5276 are 2,1319. Prime factorization of 5276 in exponential form is:

5276 = 22×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 5272 and 5276.

LCM(5272,5276) = 23×6591×13191
LCM(5272,5276) = 6953768

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 5276

List of positive integer factors of 5276 that divides 5276 without a remainder.

1, 2, 4, 1319, 2638, 5276

Least Common Multiple of 5272 and 5276 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 5276, than apply into the LCM equation.

GCF(5272,5276) = 4
LCM(5272,5276) = ( 5272 × 5276) / 4
LCM(5272,5276) = 27815072 / 4
LCM(5272,5276) = 6953768

Properties of LCM 5272 and 5276

(i) The LCM of 5276 and 5272 is associative

LCM of 5272 and 5276 = LCM of 5276 and 5272

Related Least Common Multiples of 5272

Related Least Common Multiples of 5276

Frequently Asked Questions on LCM of 5272 and 5276

1. What is the LCM of 5272 and 5276?

Answer: LCM of 5272 and 5276 is 6953768.

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 5276?

Answer: Factors of 5276 are 1, 2, 4, 1319, 2638, 5276. There are 6 integers that are factors of 5276. The greatest factor of 5276 is 5276.

4. How to Find the LCM of 5272 and 5276?

Answer:

Least Common Multiple of 5272 and 5276 = 6953768

Step 1: Find the prime factorization of 5272

5272 = 2 x 2 x 2 x 659

Step 2: Find the prime factorization of 5276

5276 = 2 x 2 x 1319

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

LCM = 6953768 = 2 x 2 x 2 x 659 x 1319

Step 4: Therefore, the least common multiple of 5272 and 5276 is 6953768.