Least Common Multiple of 8218 and 8223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8218 and 8223 the smallest integer that is 67576614 that is divisible by both numbers.

Least Common Multiple (LCM) of 8218 and 8223 is 67576614.

LCM(8218,8223) = 67576614

LCM of 8218 and 8223

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

LCM of:
and

Least Common Multiple of 8218 and 8223

LCM of 8218 and 8223 is 67576614

Least common multiple can be found by multiplying the highest exponent prime factors of 8218 and 8223. First we will calculate the prime factors of 8218 and 8223.

Prime Factorization of 8218


2 8218
7 4109
587 587
1

Prime factors of 8218 are 2, 7,587. Prime factorization of 8218 in exponential form is:

8218 = 21×71×5871

Prime Factorization of 8223


3 8223
2741 2741
1

Prime factors of 8223 are 3,2741. Prime factorization of 8223 in exponential form is:

8223 = 31×27411

Now multiplying the highest exponent prime factors to calculate the LCM of 8218 and 8223.

LCM(8218,8223) = 21×31×71×5871×27411
LCM(8218,8223) = 67576614

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1, 2, 7, 14, 587, 1174, 4109, 8218

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1, 3, 2741, 8223

Least Common Multiple of 8218 and 8223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8218 and 8223, than apply into the LCM equation.

GCF(8218,8223) = 1
LCM(8218,8223) = ( 8218 × 8223) / 1
LCM(8218,8223) = 67576614 / 1
LCM(8218,8223) = 67576614

Properties of LCM 8218 and 8223

(i) The LCM of 8223 and 8218 is associative

LCM of 8218 and 8223 = LCM of 8223 and 8218

Related Least Common Multiples of 8218

Related Least Common Multiples of 8223

Frequently Asked Questions on LCM of 8218 and 8223

1. What is the LCM of 8218 and 8223?

Answer: LCM of 8218 and 8223 is 67576614.

2. What are the Factors of 8218?

Answer: Factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218. There are 8 integers that are factors of 8218. The greatest factor of 8218 is 8218.

3. What are the Factors of 8223?

Answer: Factors of 8223 are 1, 3, 2741, 8223. There are 4 integers that are factors of 8223. The greatest factor of 8223 is 8223.

4. How to Find the LCM of 8218 and 8223?

Answer:

Least Common Multiple of 8218 and 8223 = 67576614

Step 1: Find the prime factorization of 8218

8218 = 2 x 7 x 587

Step 2: Find the prime factorization of 8223

8223 = 3 x 2741

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

LCM = 67576614 = 2 x 3 x 7 x 587 x 2741

Step 4: Therefore, the least common multiple of 8218 and 8223 is 67576614.