Least Common Multiple of 8221 and 8229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8221 and 8229 the smallest integer that is 67650609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8221 and 8229 is 67650609.

LCM(8221,8229) = 67650609

LCM of 8221 and 8229

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

LCM of:
and

Least Common Multiple of 8221 and 8229

LCM of 8221 and 8229 is 67650609

Least common multiple can be found by multiplying the highest exponent prime factors of 8221 and 8229. First we will calculate the prime factors of 8221 and 8229.

Prime Factorization of 8221


8221 8221
1

Prime factors of 8221 are 8221. Prime factorization of 8221 in exponential form is:

8221 = 82211

Prime Factorization of 8229


3 8229
13 2743
211 211
1

Prime factors of 8229 are 3, 13,211. Prime factorization of 8229 in exponential form is:

8229 = 31×131×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8221 and 8229.

LCM(8221,8229) = 31×131×2111×82211
LCM(8221,8229) = 67650609

Factors of 8221

List of positive integer factors of 8221 that divides 8221 without a remainder.

1, 8221

Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1, 3, 13, 39, 211, 633, 2743, 8229

Least Common Multiple of 8221 and 8229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8221 and 8229, than apply into the LCM equation.

GCF(8221,8229) = 1
LCM(8221,8229) = ( 8221 × 8229) / 1
LCM(8221,8229) = 67650609 / 1
LCM(8221,8229) = 67650609

Properties of LCM 8221 and 8229

(i) The LCM of 8229 and 8221 is associative

LCM of 8221 and 8229 = LCM of 8229 and 8221

Related Least Common Multiples of 8221

Related Least Common Multiples of 8229

Frequently Asked Questions on LCM of 8221 and 8229

1. What is the LCM of 8221 and 8229?

Answer: LCM of 8221 and 8229 is 67650609.

2. What are the Factors of 8221?

Answer: Factors of 8221 are 1, 8221. There are 2 integers that are factors of 8221. The greatest factor of 8221 is 8221.

3. What are the Factors of 8229?

Answer: Factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229. There are 8 integers that are factors of 8229. The greatest factor of 8229 is 8229.

4. How to Find the LCM of 8221 and 8229?

Answer:

Least Common Multiple of 8221 and 8229 = 67650609

Step 1: Find the prime factorization of 8221

8221 = 8221

Step 2: Find the prime factorization of 8229

8229 = 3 x 13 x 211

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

LCM = 67650609 = 3 x 13 x 211 x 8221

Step 4: Therefore, the least common multiple of 8221 and 8229 is 67650609.