Least Common Multiple of 5203 and 5210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5203 and 5210 the smallest integer that is 27107630 that is divisible by both numbers.

Least Common Multiple (LCM) of 5203 and 5210 is 27107630.

LCM(5203,5210) = 27107630

LCM of 5203 and 5210

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

LCM of:
and

Least Common Multiple of 5203 and 5210

LCM of 5203 and 5210 is 27107630

Least common multiple can be found by multiplying the highest exponent prime factors of 5203 and 5210. First we will calculate the prime factors of 5203 and 5210.

Prime Factorization of 5203


11 5203
11 473
43 43
1

Prime factors of 5203 are 11,43. Prime factorization of 5203 in exponential form is:

5203 = 112×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5203 and 5210.

LCM(5203,5210) = 21×51×112×431×5211
LCM(5203,5210) = 27107630

Factors of 5203

List of positive integer factors of 5203 that divides 5203 without a remainder.

1, 11, 43, 121, 473, 5203

Factors of 5210

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

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

Least Common Multiple of 5203 and 5210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5203 and 5210, than apply into the LCM equation.

GCF(5203,5210) = 1
LCM(5203,5210) = ( 5203 × 5210) / 1
LCM(5203,5210) = 27107630 / 1
LCM(5203,5210) = 27107630

Properties of LCM 5203 and 5210

(i) The LCM of 5210 and 5203 is associative

LCM of 5203 and 5210 = LCM of 5210 and 5203

Related Least Common Multiples of 5203

Related Least Common Multiples of 5210

Frequently Asked Questions on LCM of 5203 and 5210

1. What is the LCM of 5203 and 5210?

Answer: LCM of 5203 and 5210 is 27107630.

2. What are the Factors of 5203?

Answer: Factors of 5203 are 1, 11, 43, 121, 473, 5203. There are 6 integers that are factors of 5203. The greatest factor of 5203 is 5203.

3. 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.

4. How to Find the LCM of 5203 and 5210?

Answer:

Least Common Multiple of 5203 and 5210 = 27107630

Step 1: Find the prime factorization of 5203

5203 = 11 x 11 x 43

Step 2: Find the prime factorization of 5210

5210 = 2 x 5 x 521

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

LCM = 27107630 = 2 x 5 x 11 x 11 x 43 x 521

Step 4: Therefore, the least common multiple of 5203 and 5210 is 27107630.