Least Common Multiple of 8214 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 8214 and 8221 the smallest integer that is 67527294 that is divisible by both numbers.

Least Common Multiple (LCM) of 8214 and 8221 is 67527294.

LCM(8214,8221) = 67527294

LCM of 8214 and 8221

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

LCM of:
and

Least Common Multiple of 8214 and 8221

LCM of 8214 and 8221 is 67527294

Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8221. First we will calculate the prime factors of 8214 and 8221.

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 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 8214 and 8221.

LCM(8214,8221) = 21×31×372×82211
LCM(8214,8221) = 67527294

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 8221

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

1, 8221

Least Common Multiple of 8214 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 8214 and 8221, than apply into the LCM equation.

GCF(8214,8221) = 1
LCM(8214,8221) = ( 8214 × 8221) / 1
LCM(8214,8221) = 67527294 / 1
LCM(8214,8221) = 67527294

Properties of LCM 8214 and 8221

(i) The LCM of 8221 and 8214 is associative

LCM of 8214 and 8221 = LCM of 8221 and 8214

Related Least Common Multiples of 8214

Related Least Common Multiples of 8221

Frequently Asked Questions on LCM of 8214 and 8221

1. What is the LCM of 8214 and 8221?

Answer: LCM of 8214 and 8221 is 67527294.

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 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 8214 and 8221?

Answer:

Least Common Multiple of 8214 and 8221 = 67527294

Step 1: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

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 = 67527294 = 2 x 3 x 37 x 37 x 8221

Step 4: Therefore, the least common multiple of 8214 and 8221 is 67527294.