Least Common Multiple of 34213 and 34217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34213 and 34217 the smallest integer that is 1170666221 that is divisible by both numbers.

Least Common Multiple (LCM) of 34213 and 34217 is 1170666221.

LCM(34213,34217) = 1170666221

LCM of 34213 and 34217

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

LCM of:
and

Least Common Multiple of 34213 and 34217

LCM of 34213 and 34217 is 1170666221

Least common multiple can be found by multiplying the highest exponent prime factors of 34213 and 34217. First we will calculate the prime factors of 34213 and 34217.

Prime Factorization of 34213


34213 34213
1

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

34213 = 342131

Prime Factorization of 34217


34217 34217
1

Prime factors of 34217 are 34217. Prime factorization of 34217 in exponential form is:

34217 = 342171

Now multiplying the highest exponent prime factors to calculate the LCM of 34213 and 34217.

LCM(34213,34217) = 342131×342171
LCM(34213,34217) = 1170666221

Factors of 34213

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

1, 34213

Factors of 34217

List of positive integer factors of 34217 that divides 34217 without a remainder.

1, 34217

Least Common Multiple of 34213 and 34217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34213 and 34217, than apply into the LCM equation.

GCF(34213,34217) = 1
LCM(34213,34217) = ( 34213 × 34217) / 1
LCM(34213,34217) = 1170666221 / 1
LCM(34213,34217) = 1170666221

Properties of LCM 34213 and 34217

(i) The LCM of 34217 and 34213 is associative

LCM of 34213 and 34217 = LCM of 34217 and 34213

Related Least Common Multiples of 34213

Related Least Common Multiples of 34217

Frequently Asked Questions on LCM of 34213 and 34217

1. What is the LCM of 34213 and 34217?

Answer: LCM of 34213 and 34217 is 1170666221.

2. 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.

3. What are the Factors of 34217?

Answer: Factors of 34217 are 1, 34217. There are 2 integers that are factors of 34217. The greatest factor of 34217 is 34217.

4. How to Find the LCM of 34213 and 34217?

Answer:

Least Common Multiple of 34213 and 34217 = 1170666221

Step 1: Find the prime factorization of 34213

34213 = 34213

Step 2: Find the prime factorization of 34217

34217 = 34217

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

LCM = 1170666221 = 34213 x 34217

Step 4: Therefore, the least common multiple of 34213 and 34217 is 1170666221.