Least Common Multiple of 8214 and 8219

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 8219 the smallest integer that is 67510866 that is divisible by both numbers.

Least Common Multiple (LCM) of 8214 and 8219 is 67510866.

LCM(8214,8219) = 67510866

LCM of 8214 and 8219

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

LCM of:
and

Least Common Multiple of 8214 and 8219

LCM of 8214 and 8219 is 67510866

Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8219. First we will calculate the prime factors of 8214 and 8219.

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 8219


8219 8219
1

Prime factors of 8219 are 8219. Prime factorization of 8219 in exponential form is:

8219 = 82191

Now multiplying the highest exponent prime factors to calculate the LCM of 8214 and 8219.

LCM(8214,8219) = 21×31×372×82191
LCM(8214,8219) = 67510866

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 8219

List of positive integer factors of 8219 that divides 8219 without a remainder.

1, 8219

Least Common Multiple of 8214 and 8219 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 8219, than apply into the LCM equation.

GCF(8214,8219) = 1
LCM(8214,8219) = ( 8214 × 8219) / 1
LCM(8214,8219) = 67510866 / 1
LCM(8214,8219) = 67510866

Properties of LCM 8214 and 8219

(i) The LCM of 8219 and 8214 is associative

LCM of 8214 and 8219 = LCM of 8219 and 8214

Related Least Common Multiples of 8214

Related Least Common Multiples of 8219

Frequently Asked Questions on LCM of 8214 and 8219

1. What is the LCM of 8214 and 8219?

Answer: LCM of 8214 and 8219 is 67510866.

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 8219?

Answer: Factors of 8219 are 1, 8219. There are 2 integers that are factors of 8219. The greatest factor of 8219 is 8219.

4. How to Find the LCM of 8214 and 8219?

Answer:

Least Common Multiple of 8214 and 8219 = 67510866

Step 1: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

Step 2: Find the prime factorization of 8219

8219 = 8219

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

LCM = 67510866 = 2 x 3 x 37 x 37 x 8219

Step 4: Therefore, the least common multiple of 8214 and 8219 is 67510866.