Least Common Multiple of 5210 and 5213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5210 and 5213 the smallest integer that is 27159730 that is divisible by both numbers.

Least Common Multiple (LCM) of 5210 and 5213 is 27159730.

LCM(5210,5213) = 27159730

LCM of 5210 and 5213

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

LCM of:
and

Least Common Multiple of 5210 and 5213

LCM of 5210 and 5213 is 27159730

Least common multiple can be found by multiplying the highest exponent prime factors of 5210 and 5213. First we will calculate the prime factors of 5210 and 5213.

Prime Factorization of 5210


2 5210
5 2605
521 521
1

Prime factors of 5210 are 2, 5,521. Prime factorization of 5210 in exponential form is:

5210 = 21×51×5211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5210 and 5213.

LCM(5210,5213) = 21×51×131×4011×5211
LCM(5210,5213) = 27159730

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1, 2, 5, 10, 521, 1042, 2605, 5210

Factors of 5213

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

1, 13, 401, 5213

Least Common Multiple of 5210 and 5213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5210 and 5213, than apply into the LCM equation.

GCF(5210,5213) = 1
LCM(5210,5213) = ( 5210 × 5213) / 1
LCM(5210,5213) = 27159730 / 1
LCM(5210,5213) = 27159730

Properties of LCM 5210 and 5213

(i) The LCM of 5213 and 5210 is associative

LCM of 5210 and 5213 = LCM of 5213 and 5210

Related Least Common Multiples of 5210

Related Least Common Multiples of 5213

Frequently Asked Questions on LCM of 5210 and 5213

1. What is the LCM of 5210 and 5213?

Answer: LCM of 5210 and 5213 is 27159730.

2. What are the Factors of 5210?

Answer: Factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210. There are 8 integers that are factors of 5210. The greatest factor of 5210 is 5210.

3. 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.

4. How to Find the LCM of 5210 and 5213?

Answer:

Least Common Multiple of 5210 and 5213 = 27159730

Step 1: Find the prime factorization of 5210

5210 = 2 x 5 x 521

Step 2: Find the prime factorization of 5213

5213 = 13 x 401

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

LCM = 27159730 = 2 x 5 x 13 x 401 x 521

Step 4: Therefore, the least common multiple of 5210 and 5213 is 27159730.