Least Common Multiple of 8214 and 8222

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 8222 the smallest integer that is 33767754 that is divisible by both numbers.

Least Common Multiple (LCM) of 8214 and 8222 is 33767754.

LCM(8214,8222) = 33767754

LCM of 8214 and 8222

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

LCM of:
and

Least Common Multiple of 8214 and 8222

LCM of 8214 and 8222 is 33767754

Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8222. First we will calculate the prime factors of 8214 and 8222.

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 8222


2 8222
4111 4111
1

Prime factors of 8222 are 2,4111. Prime factorization of 8222 in exponential form is:

8222 = 21×41111

Now multiplying the highest exponent prime factors to calculate the LCM of 8214 and 8222.

LCM(8214,8222) = 21×31×372×41111
LCM(8214,8222) = 33767754

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 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1, 2, 4111, 8222

Least Common Multiple of 8214 and 8222 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 8222, than apply into the LCM equation.

GCF(8214,8222) = 2
LCM(8214,8222) = ( 8214 × 8222) / 2
LCM(8214,8222) = 67535508 / 2
LCM(8214,8222) = 33767754

Properties of LCM 8214 and 8222

(i) The LCM of 8222 and 8214 is associative

LCM of 8214 and 8222 = LCM of 8222 and 8214

Related Least Common Multiples of 8214

Related Least Common Multiples of 8222

Frequently Asked Questions on LCM of 8214 and 8222

1. What is the LCM of 8214 and 8222?

Answer: LCM of 8214 and 8222 is 33767754.

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 8222?

Answer: Factors of 8222 are 1, 2, 4111, 8222. There are 4 integers that are factors of 8222. The greatest factor of 8222 is 8222.

4. How to Find the LCM of 8214 and 8222?

Answer:

Least Common Multiple of 8214 and 8222 = 33767754

Step 1: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

Step 2: Find the prime factorization of 8222

8222 = 2 x 4111

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

LCM = 33767754 = 2 x 3 x 37 x 37 x 4111

Step 4: Therefore, the least common multiple of 8214 and 8222 is 33767754.