Least Common Multiple of 8214 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 8214 and 8218 the smallest integer that is 33751326 that is divisible by both numbers.

Least Common Multiple (LCM) of 8214 and 8218 is 33751326.

LCM(8214,8218) = 33751326

LCM of 8214 and 8218

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

LCM of:
and

Least Common Multiple of 8214 and 8218

LCM of 8214 and 8218 is 33751326

Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8218. First we will calculate the prime factors of 8214 and 8218.

Prime Factorization of 8214


2 8214
3 4107
37 1369
37 37
1

Prime factors of 8214 are 2, 3,37. Prime factorization of 8214 in exponential form is:

8214 = 21×31×372

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 8214 and 8218.

LCM(8214,8218) = 21×31×71×372×5871
LCM(8214,8218) = 33751326

Factors of 8214

List of positive integer factors of 8214 that divides 8214 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214

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 8214 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 8214 and 8218, than apply into the LCM equation.

GCF(8214,8218) = 2
LCM(8214,8218) = ( 8214 × 8218) / 2
LCM(8214,8218) = 67502652 / 2
LCM(8214,8218) = 33751326

Properties of LCM 8214 and 8218

(i) The LCM of 8218 and 8214 is associative

LCM of 8214 and 8218 = LCM of 8218 and 8214

Related Least Common Multiples of 8214

Related Least Common Multiples of 8218

Frequently Asked Questions on LCM of 8214 and 8218

1. What is the LCM of 8214 and 8218?

Answer: LCM of 8214 and 8218 is 33751326.

2. What are the Factors of 8214?

Answer: Factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214. There are 12 integers that are factors of 8214. The greatest factor of 8214 is 8214.

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 8214 and 8218?

Answer:

Least Common Multiple of 8214 and 8218 = 33751326

Step 1: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

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 = 33751326 = 2 x 3 x 7 x 37 x 37 x 587

Step 4: Therefore, the least common multiple of 8214 and 8218 is 33751326.