Least Common Multiple of 5213 and 5218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5213 and 5218 the smallest integer that is 27201434 that is divisible by both numbers.

Least Common Multiple (LCM) of 5213 and 5218 is 27201434.

LCM(5213,5218) = 27201434

LCM of 5213 and 5218

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

LCM of:
and

Least Common Multiple of 5213 and 5218

LCM of 5213 and 5218 is 27201434

Least common multiple can be found by multiplying the highest exponent prime factors of 5213 and 5218. First we will calculate the prime factors of 5213 and 5218.

Prime Factorization of 5213


13 5213
401 401
1

Prime factors of 5213 are 13,401. Prime factorization of 5213 in exponential form is:

5213 = 131×4011

Prime Factorization of 5218


2 5218
2609 2609
1

Prime factors of 5218 are 2,2609. Prime factorization of 5218 in exponential form is:

5218 = 21×26091

Now multiplying the highest exponent prime factors to calculate the LCM of 5213 and 5218.

LCM(5213,5218) = 21×131×4011×26091
LCM(5213,5218) = 27201434

Factors of 5213

List of positive integer factors of 5213 that divides 5213 without a remainder.

1, 13, 401, 5213

Factors of 5218

List of positive integer factors of 5218 that divides 5218 without a remainder.

1, 2, 2609, 5218

Least Common Multiple of 5213 and 5218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5213 and 5218, than apply into the LCM equation.

GCF(5213,5218) = 1
LCM(5213,5218) = ( 5213 × 5218) / 1
LCM(5213,5218) = 27201434 / 1
LCM(5213,5218) = 27201434

Properties of LCM 5213 and 5218

(i) The LCM of 5218 and 5213 is associative

LCM of 5213 and 5218 = LCM of 5218 and 5213

Related Least Common Multiples of 5213

Related Least Common Multiples of 5218

Frequently Asked Questions on LCM of 5213 and 5218

1. What is the LCM of 5213 and 5218?

Answer: LCM of 5213 and 5218 is 27201434.

2. What are the Factors of 5213?

Answer: Factors of 5213 are 1, 13, 401, 5213. There are 4 integers that are factors of 5213. The greatest factor of 5213 is 5213.

3. What are the Factors of 5218?

Answer: Factors of 5218 are 1, 2, 2609, 5218. There are 4 integers that are factors of 5218. The greatest factor of 5218 is 5218.

4. How to Find the LCM of 5213 and 5218?

Answer:

Least Common Multiple of 5213 and 5218 = 27201434

Step 1: Find the prime factorization of 5213

5213 = 13 x 401

Step 2: Find the prime factorization of 5218

5218 = 2 x 2609

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

LCM = 27201434 = 2 x 13 x 401 x 2609

Step 4: Therefore, the least common multiple of 5213 and 5218 is 27201434.