Least Common Multiple of 10204 and 10211

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 10211 the smallest integer that is 104193044 that is divisible by both numbers.

Least Common Multiple (LCM) of 10204 and 10211 is 104193044.

LCM(10204,10211) = 104193044

LCM of 10204 and 10211

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

LCM of:
and

Least Common Multiple of 10204 and 10211

LCM of 10204 and 10211 is 104193044

Least common multiple can be found by multiplying the highest exponent prime factors of 10204 and 10211. First we will calculate the prime factors of 10204 and 10211.

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 10211


10211 10211
1

Prime factors of 10211 are 10211. Prime factorization of 10211 in exponential form is:

10211 = 102111

Now multiplying the highest exponent prime factors to calculate the LCM of 10204 and 10211.

LCM(10204,10211) = 22×25511×102111
LCM(10204,10211) = 104193044

Factors of 10204

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

1, 2, 4, 2551, 5102, 10204

Factors of 10211

List of positive integer factors of 10211 that divides 10211 without a remainder.

1, 10211

Least Common Multiple of 10204 and 10211 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 10211, than apply into the LCM equation.

GCF(10204,10211) = 1
LCM(10204,10211) = ( 10204 × 10211) / 1
LCM(10204,10211) = 104193044 / 1
LCM(10204,10211) = 104193044

Properties of LCM 10204 and 10211

(i) The LCM of 10211 and 10204 is associative

LCM of 10204 and 10211 = LCM of 10211 and 10204

Related Least Common Multiples of 10204

Related Least Common Multiples of 10211

Frequently Asked Questions on LCM of 10204 and 10211

1. What is the LCM of 10204 and 10211?

Answer: LCM of 10204 and 10211 is 104193044.

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 10211?

Answer: Factors of 10211 are 1, 10211. There are 2 integers that are factors of 10211. The greatest factor of 10211 is 10211.

4. How to Find the LCM of 10204 and 10211?

Answer:

Least Common Multiple of 10204 and 10211 = 104193044

Step 1: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

Step 2: Find the prime factorization of 10211

10211 = 10211

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

LCM = 104193044 = 2 x 2 x 2551 x 10211

Step 4: Therefore, the least common multiple of 10204 and 10211 is 104193044.