Least Common Multiple of 8216 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 8216 and 8223 the smallest integer that is 67560168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8216 and 8223 is 67560168.

LCM(8216,8223) = 67560168

LCM of 8216 and 8223

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

LCM of:
and

Least Common Multiple of 8216 and 8223

LCM of 8216 and 8223 is 67560168

Least common multiple can be found by multiplying the highest exponent prime factors of 8216 and 8223. First we will calculate the prime factors of 8216 and 8223.

Prime Factorization of 8216


2 8216
2 4108
2 2054
13 1027
79 79
1

Prime factors of 8216 are 2, 13,79. Prime factorization of 8216 in exponential form is:

8216 = 23×131×791

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 8216 and 8223.

LCM(8216,8223) = 23×31×131×791×27411
LCM(8216,8223) = 67560168

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

Factors of 8223

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

1, 3, 2741, 8223

Least Common Multiple of 8216 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 8216 and 8223, than apply into the LCM equation.

GCF(8216,8223) = 1
LCM(8216,8223) = ( 8216 × 8223) / 1
LCM(8216,8223) = 67560168 / 1
LCM(8216,8223) = 67560168

Properties of LCM 8216 and 8223

(i) The LCM of 8223 and 8216 is associative

LCM of 8216 and 8223 = LCM of 8223 and 8216

Related Least Common Multiples of 8216

Related Least Common Multiples of 8223

Frequently Asked Questions on LCM of 8216 and 8223

1. What is the LCM of 8216 and 8223?

Answer: LCM of 8216 and 8223 is 67560168.

2. What are the Factors of 8216?

Answer: Factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. There are 16 integers that are factors of 8216. The greatest factor of 8216 is 8216.

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 8216 and 8223?

Answer:

Least Common Multiple of 8216 and 8223 = 67560168

Step 1: Find the prime factorization of 8216

8216 = 2 x 2 x 2 x 13 x 79

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 = 67560168 = 2 x 2 x 2 x 3 x 13 x 79 x 2741

Step 4: Therefore, the least common multiple of 8216 and 8223 is 67560168.