Least Common Multiple of 8213 and 8220

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 8220 the smallest integer that is 67510860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8213 and 8220 is 67510860.

LCM(8213,8220) = 67510860

LCM of 8213 and 8220

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

LCM of:
and

Least Common Multiple of 8213 and 8220

LCM of 8213 and 8220 is 67510860

Least common multiple can be found by multiplying the highest exponent prime factors of 8213 and 8220. First we will calculate the prime factors of 8213 and 8220.

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 8220


2 8220
2 4110
3 2055
5 685
137 137
1

Prime factors of 8220 are 2, 3, 5,137. Prime factorization of 8220 in exponential form is:

8220 = 22×31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8213 and 8220.

LCM(8213,8220) = 22×31×51×431×1371×1911
LCM(8213,8220) = 67510860

Factors of 8213

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

1, 43, 191, 8213

Factors of 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220

Least Common Multiple of 8213 and 8220 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 8220, than apply into the LCM equation.

GCF(8213,8220) = 1
LCM(8213,8220) = ( 8213 × 8220) / 1
LCM(8213,8220) = 67510860 / 1
LCM(8213,8220) = 67510860

Properties of LCM 8213 and 8220

(i) The LCM of 8220 and 8213 is associative

LCM of 8213 and 8220 = LCM of 8220 and 8213

Related Least Common Multiples of 8213

Related Least Common Multiples of 8220

Frequently Asked Questions on LCM of 8213 and 8220

1. What is the LCM of 8213 and 8220?

Answer: LCM of 8213 and 8220 is 67510860.

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 8220?

Answer: Factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220. There are 24 integers that are factors of 8220. The greatest factor of 8220 is 8220.

4. How to Find the LCM of 8213 and 8220?

Answer:

Least Common Multiple of 8213 and 8220 = 67510860

Step 1: Find the prime factorization of 8213

8213 = 43 x 191

Step 2: Find the prime factorization of 8220

8220 = 2 x 2 x 3 x 5 x 137

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

LCM = 67510860 = 2 x 2 x 3 x 5 x 43 x 137 x 191

Step 4: Therefore, the least common multiple of 8213 and 8220 is 67510860.