Least Common Multiple of 5234 and 5240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5234 and 5240 the smallest integer that is 13713080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5234 and 5240 is 13713080.

LCM(5234,5240) = 13713080

LCM of 5234 and 5240

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

LCM of:
and

Least Common Multiple of 5234 and 5240

LCM of 5234 and 5240 is 13713080

Least common multiple can be found by multiplying the highest exponent prime factors of 5234 and 5240. First we will calculate the prime factors of 5234 and 5240.

Prime Factorization of 5234


2 5234
2617 2617
1

Prime factors of 5234 are 2,2617. Prime factorization of 5234 in exponential form is:

5234 = 21×26171

Prime Factorization of 5240


2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 5240 are 2, 5,131. Prime factorization of 5240 in exponential form is:

5240 = 23×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5234 and 5240.

LCM(5234,5240) = 23×51×1311×26171
LCM(5234,5240) = 13713080

Factors of 5234

List of positive integer factors of 5234 that divides 5234 without a remainder.

1, 2, 2617, 5234

Factors of 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240

Least Common Multiple of 5234 and 5240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5234 and 5240, than apply into the LCM equation.

GCF(5234,5240) = 2
LCM(5234,5240) = ( 5234 × 5240) / 2
LCM(5234,5240) = 27426160 / 2
LCM(5234,5240) = 13713080

Properties of LCM 5234 and 5240

(i) The LCM of 5240 and 5234 is associative

LCM of 5234 and 5240 = LCM of 5240 and 5234

Related Least Common Multiples of 5234

Related Least Common Multiples of 5240

Frequently Asked Questions on LCM of 5234 and 5240

1. What is the LCM of 5234 and 5240?

Answer: LCM of 5234 and 5240 is 13713080.

2. What are the Factors of 5234?

Answer: Factors of 5234 are 1, 2, 2617, 5234. There are 4 integers that are factors of 5234. The greatest factor of 5234 is 5234.

3. What are the Factors of 5240?

Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.

4. How to Find the LCM of 5234 and 5240?

Answer:

Least Common Multiple of 5234 and 5240 = 13713080

Step 1: Find the prime factorization of 5234

5234 = 2 x 2617

Step 2: Find the prime factorization of 5240

5240 = 2 x 2 x 2 x 5 x 131

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

LCM = 13713080 = 2 x 2 x 2 x 5 x 131 x 2617

Step 4: Therefore, the least common multiple of 5234 and 5240 is 13713080.