Least Common Multiple of 34204 and 34210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34204 and 34210 the smallest integer that is 585059420 that is divisible by both numbers.

Least Common Multiple (LCM) of 34204 and 34210 is 585059420.

LCM(34204,34210) = 585059420

LCM of 34204 and 34210

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

LCM of:
and

Least Common Multiple of 34204 and 34210

LCM of 34204 and 34210 is 585059420

Least common multiple can be found by multiplying the highest exponent prime factors of 34204 and 34210. First we will calculate the prime factors of 34204 and 34210.

Prime Factorization of 34204


2 34204
2 17102
17 8551
503 503
1

Prime factors of 34204 are 2, 17,503. Prime factorization of 34204 in exponential form is:

34204 = 22×171×5031

Prime Factorization of 34210


2 34210
5 17105
11 3421
311 311
1

Prime factors of 34210 are 2, 5, 11,311. Prime factorization of 34210 in exponential form is:

34210 = 21×51×111×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 34204 and 34210.

LCM(34204,34210) = 22×51×111×171×3111×5031
LCM(34204,34210) = 585059420

Factors of 34204

List of positive integer factors of 34204 that divides 34204 without a remainder.

1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204

Factors of 34210

List of positive integer factors of 34210 that divides 34210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210

Least Common Multiple of 34204 and 34210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34204 and 34210, than apply into the LCM equation.

GCF(34204,34210) = 2
LCM(34204,34210) = ( 34204 × 34210) / 2
LCM(34204,34210) = 1170118840 / 2
LCM(34204,34210) = 585059420

Properties of LCM 34204 and 34210

(i) The LCM of 34210 and 34204 is associative

LCM of 34204 and 34210 = LCM of 34210 and 34204

Related Least Common Multiples of 34204

Related Least Common Multiples of 34210

Frequently Asked Questions on LCM of 34204 and 34210

1. What is the LCM of 34204 and 34210?

Answer: LCM of 34204 and 34210 is 585059420.

2. What are the Factors of 34204?

Answer: Factors of 34204 are 1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204. There are 12 integers that are factors of 34204. The greatest factor of 34204 is 34204.

3. What are the Factors of 34210?

Answer: Factors of 34210 are 1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210. There are 16 integers that are factors of 34210. The greatest factor of 34210 is 34210.

4. How to Find the LCM of 34204 and 34210?

Answer:

Least Common Multiple of 34204 and 34210 = 585059420

Step 1: Find the prime factorization of 34204

34204 = 2 x 2 x 17 x 503

Step 2: Find the prime factorization of 34210

34210 = 2 x 5 x 11 x 311

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

LCM = 585059420 = 2 x 2 x 5 x 11 x 17 x 311 x 503

Step 4: Therefore, the least common multiple of 34204 and 34210 is 585059420.