Least Common Multiple of 8218 and 8225

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 8225 the smallest integer that is 9656150 that is divisible by both numbers.

Least Common Multiple (LCM) of 8218 and 8225 is 9656150.

LCM(8218,8225) = 9656150

LCM of 8218 and 8225

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

LCM of:
and

Least Common Multiple of 8218 and 8225

LCM of 8218 and 8225 is 9656150

Least common multiple can be found by multiplying the highest exponent prime factors of 8218 and 8225. First we will calculate the prime factors of 8218 and 8225.

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 8225


5 8225
5 1645
7 329
47 47
1

Prime factors of 8225 are 5, 7,47. Prime factorization of 8225 in exponential form is:

8225 = 52×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8218 and 8225.

LCM(8218,8225) = 21×52×71×471×5871
LCM(8218,8225) = 9656150

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 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225

Least Common Multiple of 8218 and 8225 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 8225, than apply into the LCM equation.

GCF(8218,8225) = 7
LCM(8218,8225) = ( 8218 × 8225) / 7
LCM(8218,8225) = 67593050 / 7
LCM(8218,8225) = 9656150

Properties of LCM 8218 and 8225

(i) The LCM of 8225 and 8218 is associative

LCM of 8218 and 8225 = LCM of 8225 and 8218

Related Least Common Multiples of 8218

Related Least Common Multiples of 8225

Frequently Asked Questions on LCM of 8218 and 8225

1. What is the LCM of 8218 and 8225?

Answer: LCM of 8218 and 8225 is 9656150.

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 8225?

Answer: Factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225. There are 12 integers that are factors of 8225. The greatest factor of 8225 is 8225.

4. How to Find the LCM of 8218 and 8225?

Answer:

Least Common Multiple of 8218 and 8225 = 9656150

Step 1: Find the prime factorization of 8218

8218 = 2 x 7 x 587

Step 2: Find the prime factorization of 8225

8225 = 5 x 5 x 7 x 47

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

LCM = 9656150 = 2 x 5 x 5 x 7 x 47 x 587

Step 4: Therefore, the least common multiple of 8218 and 8225 is 9656150.