Least Common Multiple of 10204 and 10210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10204 and 10210 the smallest integer that is 52091420 that is divisible by both numbers.

Least Common Multiple (LCM) of 10204 and 10210 is 52091420.

LCM(10204,10210) = 52091420

LCM of 10204 and 10210

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

LCM of:
and

Least Common Multiple of 10204 and 10210

LCM of 10204 and 10210 is 52091420

Least common multiple can be found by multiplying the highest exponent prime factors of 10204 and 10210. First we will calculate the prime factors of 10204 and 10210.

Prime Factorization of 10204


2 10204
2 5102
2551 2551
1

Prime factors of 10204 are 2,2551. Prime factorization of 10204 in exponential form is:

10204 = 22×25511

Prime Factorization of 10210


2 10210
5 5105
1021 1021
1

Prime factors of 10210 are 2, 5,1021. Prime factorization of 10210 in exponential form is:

10210 = 21×51×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 10204 and 10210.

LCM(10204,10210) = 22×51×10211×25511
LCM(10204,10210) = 52091420

Factors of 10204

List of positive integer factors of 10204 that divides 10204 without a remainder.

1, 2, 4, 2551, 5102, 10204

Factors of 10210

List of positive integer factors of 10210 that divides 10210 without a remainder.

1, 2, 5, 10, 1021, 2042, 5105, 10210

Least Common Multiple of 10204 and 10210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10204 and 10210, than apply into the LCM equation.

GCF(10204,10210) = 2
LCM(10204,10210) = ( 10204 × 10210) / 2
LCM(10204,10210) = 104182840 / 2
LCM(10204,10210) = 52091420

Properties of LCM 10204 and 10210

(i) The LCM of 10210 and 10204 is associative

LCM of 10204 and 10210 = LCM of 10210 and 10204

Related Least Common Multiples of 10204

Related Least Common Multiples of 10210

Frequently Asked Questions on LCM of 10204 and 10210

1. What is the LCM of 10204 and 10210?

Answer: LCM of 10204 and 10210 is 52091420.

2. What are the Factors of 10204?

Answer: Factors of 10204 are 1, 2, 4, 2551, 5102, 10204. There are 6 integers that are factors of 10204. The greatest factor of 10204 is 10204.

3. What are the Factors of 10210?

Answer: Factors of 10210 are 1, 2, 5, 10, 1021, 2042, 5105, 10210. There are 8 integers that are factors of 10210. The greatest factor of 10210 is 10210.

4. How to Find the LCM of 10204 and 10210?

Answer:

Least Common Multiple of 10204 and 10210 = 52091420

Step 1: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

Step 2: Find the prime factorization of 10210

10210 = 2 x 5 x 1021

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

LCM = 52091420 = 2 x 2 x 5 x 1021 x 2551

Step 4: Therefore, the least common multiple of 10204 and 10210 is 52091420.