Least Common Multiple of 5296 and 5301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5296 and 5301 the smallest integer that is 28074096 that is divisible by both numbers.

Least Common Multiple (LCM) of 5296 and 5301 is 28074096.

LCM(5296,5301) = 28074096

LCM of 5296 and 5301

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

LCM of:
and

Least Common Multiple of 5296 and 5301

LCM of 5296 and 5301 is 28074096

Least common multiple can be found by multiplying the highest exponent prime factors of 5296 and 5301. First we will calculate the prime factors of 5296 and 5301.

Prime Factorization of 5296


2 5296
2 2648
2 1324
2 662
331 331
1

Prime factors of 5296 are 2,331. Prime factorization of 5296 in exponential form is:

5296 = 24×3311

Prime Factorization of 5301


3 5301
3 1767
19 589
31 31
1

Prime factors of 5301 are 3, 19,31. Prime factorization of 5301 in exponential form is:

5301 = 32×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5296 and 5301.

LCM(5296,5301) = 24×32×191×311×3311
LCM(5296,5301) = 28074096

Factors of 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296

Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301

Least Common Multiple of 5296 and 5301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5296 and 5301, than apply into the LCM equation.

GCF(5296,5301) = 1
LCM(5296,5301) = ( 5296 × 5301) / 1
LCM(5296,5301) = 28074096 / 1
LCM(5296,5301) = 28074096

Properties of LCM 5296 and 5301

(i) The LCM of 5301 and 5296 is associative

LCM of 5296 and 5301 = LCM of 5301 and 5296

Related Least Common Multiples of 5296

Related Least Common Multiples of 5301

Frequently Asked Questions on LCM of 5296 and 5301

1. What is the LCM of 5296 and 5301?

Answer: LCM of 5296 and 5301 is 28074096.

2. What are the Factors of 5296?

Answer: Factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296. There are 10 integers that are factors of 5296. The greatest factor of 5296 is 5296.

3. What are the Factors of 5301?

Answer: Factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301. There are 12 integers that are factors of 5301. The greatest factor of 5301 is 5301.

4. How to Find the LCM of 5296 and 5301?

Answer:

Least Common Multiple of 5296 and 5301 = 28074096

Step 1: Find the prime factorization of 5296

5296 = 2 x 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 5301

5301 = 3 x 3 x 19 x 31

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

LCM = 28074096 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 31 x 331

Step 4: Therefore, the least common multiple of 5296 and 5301 is 28074096.