Least Common Multiple of 5233 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 5233 and 5240 the smallest integer that is 27420920 that is divisible by both numbers.

Least Common Multiple (LCM) of 5233 and 5240 is 27420920.

LCM(5233,5240) = 27420920

LCM of 5233 and 5240

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

LCM of:
and

Least Common Multiple of 5233 and 5240

LCM of 5233 and 5240 is 27420920

Least common multiple can be found by multiplying the highest exponent prime factors of 5233 and 5240. First we will calculate the prime factors of 5233 and 5240.

Prime Factorization of 5233


5233 5233
1

Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:

5233 = 52331

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 5233 and 5240.

LCM(5233,5240) = 23×51×1311×52331
LCM(5233,5240) = 27420920

Factors of 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1, 5233

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 5233 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 5233 and 5240, than apply into the LCM equation.

GCF(5233,5240) = 1
LCM(5233,5240) = ( 5233 × 5240) / 1
LCM(5233,5240) = 27420920 / 1
LCM(5233,5240) = 27420920

Properties of LCM 5233 and 5240

(i) The LCM of 5240 and 5233 is associative

LCM of 5233 and 5240 = LCM of 5240 and 5233

Related Least Common Multiples of 5233

Related Least Common Multiples of 5240

Frequently Asked Questions on LCM of 5233 and 5240

1. What is the LCM of 5233 and 5240?

Answer: LCM of 5233 and 5240 is 27420920.

2. What are the Factors of 5233?

Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.

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 5233 and 5240?

Answer:

Least Common Multiple of 5233 and 5240 = 27420920

Step 1: Find the prime factorization of 5233

5233 = 5233

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 = 27420920 = 2 x 2 x 2 x 5 x 131 x 5233

Step 4: Therefore, the least common multiple of 5233 and 5240 is 27420920.