Least Common Multiple of 34205 and 34213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34205 and 34213 the smallest integer that is 1170255665 that is divisible by both numbers.

Least Common Multiple (LCM) of 34205 and 34213 is 1170255665.

LCM(34205,34213) = 1170255665

LCM of 34205 and 34213

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

LCM of:
and

Least Common Multiple of 34205 and 34213

LCM of 34205 and 34213 is 1170255665

Least common multiple can be found by multiplying the highest exponent prime factors of 34205 and 34213. First we will calculate the prime factors of 34205 and 34213.

Prime Factorization of 34205


5 34205
6841 6841
1

Prime factors of 34205 are 5,6841. Prime factorization of 34205 in exponential form is:

34205 = 51×68411

Prime Factorization of 34213


34213 34213
1

Prime factors of 34213 are 34213. Prime factorization of 34213 in exponential form is:

34213 = 342131

Now multiplying the highest exponent prime factors to calculate the LCM of 34205 and 34213.

LCM(34205,34213) = 51×68411×342131
LCM(34205,34213) = 1170255665

Factors of 34205

List of positive integer factors of 34205 that divides 34205 without a remainder.

1, 5, 6841, 34205

Factors of 34213

List of positive integer factors of 34213 that divides 34213 without a remainder.

1, 34213

Least Common Multiple of 34205 and 34213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34205 and 34213, than apply into the LCM equation.

GCF(34205,34213) = 1
LCM(34205,34213) = ( 34205 × 34213) / 1
LCM(34205,34213) = 1170255665 / 1
LCM(34205,34213) = 1170255665

Properties of LCM 34205 and 34213

(i) The LCM of 34213 and 34205 is associative

LCM of 34205 and 34213 = LCM of 34213 and 34205

Related Least Common Multiples of 34205

Related Least Common Multiples of 34213

Frequently Asked Questions on LCM of 34205 and 34213

1. What is the LCM of 34205 and 34213?

Answer: LCM of 34205 and 34213 is 1170255665.

2. What are the Factors of 34205?

Answer: Factors of 34205 are 1, 5, 6841, 34205. There are 4 integers that are factors of 34205. The greatest factor of 34205 is 34205.

3. What are the Factors of 34213?

Answer: Factors of 34213 are 1, 34213. There are 2 integers that are factors of 34213. The greatest factor of 34213 is 34213.

4. How to Find the LCM of 34205 and 34213?

Answer:

Least Common Multiple of 34205 and 34213 = 1170255665

Step 1: Find the prime factorization of 34205

34205 = 5 x 6841

Step 2: Find the prime factorization of 34213

34213 = 34213

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

LCM = 1170255665 = 5 x 6841 x 34213

Step 4: Therefore, the least common multiple of 34205 and 34213 is 1170255665.