Least Common Multiple of 8213 and 8217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8213 and 8217 the smallest integer that is 67486221 that is divisible by both numbers.

Least Common Multiple (LCM) of 8213 and 8217 is 67486221.

LCM(8213,8217) = 67486221

LCM of 8213 and 8217

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

LCM of:
and

Least Common Multiple of 8213 and 8217

LCM of 8213 and 8217 is 67486221

Least common multiple can be found by multiplying the highest exponent prime factors of 8213 and 8217. First we will calculate the prime factors of 8213 and 8217.

Prime Factorization of 8213


43 8213
191 191
1

Prime factors of 8213 are 43,191. Prime factorization of 8213 in exponential form is:

8213 = 431×1911

Prime Factorization of 8217


3 8217
3 2739
11 913
83 83
1

Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:

8217 = 32×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8213 and 8217.

LCM(8213,8217) = 32×111×431×831×1911
LCM(8213,8217) = 67486221

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1, 43, 191, 8213

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217

Least Common Multiple of 8213 and 8217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8213 and 8217, than apply into the LCM equation.

GCF(8213,8217) = 1
LCM(8213,8217) = ( 8213 × 8217) / 1
LCM(8213,8217) = 67486221 / 1
LCM(8213,8217) = 67486221

Properties of LCM 8213 and 8217

(i) The LCM of 8217 and 8213 is associative

LCM of 8213 and 8217 = LCM of 8217 and 8213

Related Least Common Multiples of 8213

Related Least Common Multiples of 8217

Frequently Asked Questions on LCM of 8213 and 8217

1. What is the LCM of 8213 and 8217?

Answer: LCM of 8213 and 8217 is 67486221.

2. What are the Factors of 8213?

Answer: Factors of 8213 are 1, 43, 191, 8213. There are 4 integers that are factors of 8213. The greatest factor of 8213 is 8213.

3. What are the Factors of 8217?

Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.

4. How to Find the LCM of 8213 and 8217?

Answer:

Least Common Multiple of 8213 and 8217 = 67486221

Step 1: Find the prime factorization of 8213

8213 = 43 x 191

Step 2: Find the prime factorization of 8217

8217 = 3 x 3 x 11 x 83

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

LCM = 67486221 = 3 x 3 x 11 x 43 x 83 x 191

Step 4: Therefore, the least common multiple of 8213 and 8217 is 67486221.