Least Common Multiple of 8215 and 8221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8215 and 8221 the smallest integer that is 67535515 that is divisible by both numbers.

Least Common Multiple (LCM) of 8215 and 8221 is 67535515.

LCM(8215,8221) = 67535515

LCM of 8215 and 8221

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

LCM of:
and

Least Common Multiple of 8215 and 8221

LCM of 8215 and 8221 is 67535515

Least common multiple can be found by multiplying the highest exponent prime factors of 8215 and 8221. First we will calculate the prime factors of 8215 and 8221.

Prime Factorization of 8215


5 8215
31 1643
53 53
1

Prime factors of 8215 are 5, 31,53. Prime factorization of 8215 in exponential form is:

8215 = 51×311×531

Prime Factorization of 8221


8221 8221
1

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

8221 = 82211

Now multiplying the highest exponent prime factors to calculate the LCM of 8215 and 8221.

LCM(8215,8221) = 51×311×531×82211
LCM(8215,8221) = 67535515

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1, 5, 31, 53, 155, 265, 1643, 8215

Factors of 8221

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

1, 8221

Least Common Multiple of 8215 and 8221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8215 and 8221, than apply into the LCM equation.

GCF(8215,8221) = 1
LCM(8215,8221) = ( 8215 × 8221) / 1
LCM(8215,8221) = 67535515 / 1
LCM(8215,8221) = 67535515

Properties of LCM 8215 and 8221

(i) The LCM of 8221 and 8215 is associative

LCM of 8215 and 8221 = LCM of 8221 and 8215

Related Least Common Multiples of 8215

Related Least Common Multiples of 8221

Frequently Asked Questions on LCM of 8215 and 8221

1. What is the LCM of 8215 and 8221?

Answer: LCM of 8215 and 8221 is 67535515.

2. What are the Factors of 8215?

Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.

3. 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.

4. How to Find the LCM of 8215 and 8221?

Answer:

Least Common Multiple of 8215 and 8221 = 67535515

Step 1: Find the prime factorization of 8215

8215 = 5 x 31 x 53

Step 2: Find the prime factorization of 8221

8221 = 8221

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

LCM = 67535515 = 5 x 31 x 53 x 8221

Step 4: Therefore, the least common multiple of 8215 and 8221 is 67535515.