Least Common Multiple of 8215 and 8218

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 8218 the smallest integer that is 67510870 that is divisible by both numbers.

Least Common Multiple (LCM) of 8215 and 8218 is 67510870.

LCM(8215,8218) = 67510870

LCM of 8215 and 8218

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

LCM of:
and

Least Common Multiple of 8215 and 8218

LCM of 8215 and 8218 is 67510870

Least common multiple can be found by multiplying the highest exponent prime factors of 8215 and 8218. First we will calculate the prime factors of 8215 and 8218.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8215 and 8218.

LCM(8215,8218) = 21×51×71×311×531×5871
LCM(8215,8218) = 67510870

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 8218

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

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

Least Common Multiple of 8215 and 8218 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 8218, than apply into the LCM equation.

GCF(8215,8218) = 1
LCM(8215,8218) = ( 8215 × 8218) / 1
LCM(8215,8218) = 67510870 / 1
LCM(8215,8218) = 67510870

Properties of LCM 8215 and 8218

(i) The LCM of 8218 and 8215 is associative

LCM of 8215 and 8218 = LCM of 8218 and 8215

Related Least Common Multiples of 8215

Related Least Common Multiples of 8218

Frequently Asked Questions on LCM of 8215 and 8218

1. What is the LCM of 8215 and 8218?

Answer: LCM of 8215 and 8218 is 67510870.

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 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.

4. How to Find the LCM of 8215 and 8218?

Answer:

Least Common Multiple of 8215 and 8218 = 67510870

Step 1: Find the prime factorization of 8215

8215 = 5 x 31 x 53

Step 2: Find the prime factorization of 8218

8218 = 2 x 7 x 587

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

LCM = 67510870 = 2 x 5 x 7 x 31 x 53 x 587

Step 4: Therefore, the least common multiple of 8215 and 8218 is 67510870.