Least Common Multiple of 34206 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 34206 and 34210 the smallest integer that is 585093630 that is divisible by both numbers.

Least Common Multiple (LCM) of 34206 and 34210 is 585093630.

LCM(34206,34210) = 585093630

LCM of 34206 and 34210

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

LCM of:
and

Least Common Multiple of 34206 and 34210

LCM of 34206 and 34210 is 585093630

Least common multiple can be found by multiplying the highest exponent prime factors of 34206 and 34210. First we will calculate the prime factors of 34206 and 34210.

Prime Factorization of 34206


2 34206
3 17103
5701 5701
1

Prime factors of 34206 are 2, 3,5701. Prime factorization of 34206 in exponential form is:

34206 = 21×31×57011

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 34206 and 34210.

LCM(34206,34210) = 21×31×51×111×3111×57011
LCM(34206,34210) = 585093630

Factors of 34206

List of positive integer factors of 34206 that divides 34206 without a remainder.

1, 2, 3, 6, 5701, 11402, 17103, 34206

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 34206 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 34206 and 34210, than apply into the LCM equation.

GCF(34206,34210) = 2
LCM(34206,34210) = ( 34206 × 34210) / 2
LCM(34206,34210) = 1170187260 / 2
LCM(34206,34210) = 585093630

Properties of LCM 34206 and 34210

(i) The LCM of 34210 and 34206 is associative

LCM of 34206 and 34210 = LCM of 34210 and 34206

Related Least Common Multiples of 34206

Related Least Common Multiples of 34210

Frequently Asked Questions on LCM of 34206 and 34210

1. What is the LCM of 34206 and 34210?

Answer: LCM of 34206 and 34210 is 585093630.

2. What are the Factors of 34206?

Answer: Factors of 34206 are 1, 2, 3, 6, 5701, 11402, 17103, 34206. There are 8 integers that are factors of 34206. The greatest factor of 34206 is 34206.

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 34206 and 34210?

Answer:

Least Common Multiple of 34206 and 34210 = 585093630

Step 1: Find the prime factorization of 34206

34206 = 2 x 3 x 5701

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 = 585093630 = 2 x 3 x 5 x 11 x 311 x 5701

Step 4: Therefore, the least common multiple of 34206 and 34210 is 585093630.