Least Common Multiple of 5272 and 5279

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 5279 the smallest integer that is 27830888 that is divisible by both numbers.

Least Common Multiple (LCM) of 5272 and 5279 is 27830888.

LCM(5272,5279) = 27830888

LCM of 5272 and 5279

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

LCM of:
and

Least Common Multiple of 5272 and 5279

LCM of 5272 and 5279 is 27830888

Least common multiple can be found by multiplying the highest exponent prime factors of 5272 and 5279. First we will calculate the prime factors of 5272 and 5279.

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 5279


5279 5279
1

Prime factors of 5279 are 5279. Prime factorization of 5279 in exponential form is:

5279 = 52791

Now multiplying the highest exponent prime factors to calculate the LCM of 5272 and 5279.

LCM(5272,5279) = 23×6591×52791
LCM(5272,5279) = 27830888

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 5279

List of positive integer factors of 5279 that divides 5279 without a remainder.

1, 5279

Least Common Multiple of 5272 and 5279 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 5279, than apply into the LCM equation.

GCF(5272,5279) = 1
LCM(5272,5279) = ( 5272 × 5279) / 1
LCM(5272,5279) = 27830888 / 1
LCM(5272,5279) = 27830888

Properties of LCM 5272 and 5279

(i) The LCM of 5279 and 5272 is associative

LCM of 5272 and 5279 = LCM of 5279 and 5272

Related Least Common Multiples of 5272

Related Least Common Multiples of 5279

Frequently Asked Questions on LCM of 5272 and 5279

1. What is the LCM of 5272 and 5279?

Answer: LCM of 5272 and 5279 is 27830888.

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 5279?

Answer: Factors of 5279 are 1, 5279. There are 2 integers that are factors of 5279. The greatest factor of 5279 is 5279.

4. How to Find the LCM of 5272 and 5279?

Answer:

Least Common Multiple of 5272 and 5279 = 27830888

Step 1: Find the prime factorization of 5272

5272 = 2 x 2 x 2 x 659

Step 2: Find the prime factorization of 5279

5279 = 5279

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

LCM = 27830888 = 2 x 2 x 2 x 659 x 5279

Step 4: Therefore, the least common multiple of 5272 and 5279 is 27830888.