Least Common Multiple of 9214 and 9219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9214 and 9219 the smallest integer that is 84943866 that is divisible by both numbers.

Least Common Multiple (LCM) of 9214 and 9219 is 84943866.

LCM(9214,9219) = 84943866

LCM of 9214 and 9219

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

LCM of:
and

Least Common Multiple of 9214 and 9219

LCM of 9214 and 9219 is 84943866

Least common multiple can be found by multiplying the highest exponent prime factors of 9214 and 9219. First we will calculate the prime factors of 9214 and 9219.

Prime Factorization of 9214


2 9214
17 4607
271 271
1

Prime factors of 9214 are 2, 17,271. Prime factorization of 9214 in exponential form is:

9214 = 21×171×2711

Prime Factorization of 9219


3 9219
7 3073
439 439
1

Prime factors of 9219 are 3, 7,439. Prime factorization of 9219 in exponential form is:

9219 = 31×71×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 9214 and 9219.

LCM(9214,9219) = 21×31×71×171×2711×4391
LCM(9214,9219) = 84943866

Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1, 2, 17, 34, 271, 542, 4607, 9214

Factors of 9219

List of positive integer factors of 9219 that divides 9219 without a remainder.

1, 3, 7, 21, 439, 1317, 3073, 9219

Least Common Multiple of 9214 and 9219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9214 and 9219, than apply into the LCM equation.

GCF(9214,9219) = 1
LCM(9214,9219) = ( 9214 × 9219) / 1
LCM(9214,9219) = 84943866 / 1
LCM(9214,9219) = 84943866

Properties of LCM 9214 and 9219

(i) The LCM of 9219 and 9214 is associative

LCM of 9214 and 9219 = LCM of 9219 and 9214

Related Least Common Multiples of 9214

Related Least Common Multiples of 9219

Frequently Asked Questions on LCM of 9214 and 9219

1. What is the LCM of 9214 and 9219?

Answer: LCM of 9214 and 9219 is 84943866.

2. What are the Factors of 9214?

Answer: Factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214. There are 8 integers that are factors of 9214. The greatest factor of 9214 is 9214.

3. What are the Factors of 9219?

Answer: Factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219. There are 8 integers that are factors of 9219. The greatest factor of 9219 is 9219.

4. How to Find the LCM of 9214 and 9219?

Answer:

Least Common Multiple of 9214 and 9219 = 84943866

Step 1: Find the prime factorization of 9214

9214 = 2 x 17 x 271

Step 2: Find the prime factorization of 9219

9219 = 3 x 7 x 439

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

LCM = 84943866 = 2 x 3 x 7 x 17 x 271 x 439

Step 4: Therefore, the least common multiple of 9214 and 9219 is 84943866.