Least Common Multiple of 9219 and 9226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9219 and 9226 the smallest integer that is 12150642 that is divisible by both numbers.

Least Common Multiple (LCM) of 9219 and 9226 is 12150642.

LCM(9219,9226) = 12150642

LCM of 9219 and 9226

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

LCM of:
and

Least Common Multiple of 9219 and 9226

LCM of 9219 and 9226 is 12150642

Least common multiple can be found by multiplying the highest exponent prime factors of 9219 and 9226. First we will calculate the prime factors of 9219 and 9226.

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

Prime Factorization of 9226


2 9226
7 4613
659 659
1

Prime factors of 9226 are 2, 7,659. Prime factorization of 9226 in exponential form is:

9226 = 21×71×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 9219 and 9226.

LCM(9219,9226) = 21×31×71×4391×6591
LCM(9219,9226) = 12150642

Factors of 9219

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

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

Factors of 9226

List of positive integer factors of 9226 that divides 9226 without a remainder.

1, 2, 7, 14, 659, 1318, 4613, 9226

Least Common Multiple of 9219 and 9226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9219 and 9226, than apply into the LCM equation.

GCF(9219,9226) = 7
LCM(9219,9226) = ( 9219 × 9226) / 7
LCM(9219,9226) = 85054494 / 7
LCM(9219,9226) = 12150642

Properties of LCM 9219 and 9226

(i) The LCM of 9226 and 9219 is associative

LCM of 9219 and 9226 = LCM of 9226 and 9219

Related Least Common Multiples of 9219

Related Least Common Multiples of 9226

Frequently Asked Questions on LCM of 9219 and 9226

1. What is the LCM of 9219 and 9226?

Answer: LCM of 9219 and 9226 is 12150642.

2. 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.

3. What are the Factors of 9226?

Answer: Factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226. There are 8 integers that are factors of 9226. The greatest factor of 9226 is 9226.

4. How to Find the LCM of 9219 and 9226?

Answer:

Least Common Multiple of 9219 and 9226 = 12150642

Step 1: Find the prime factorization of 9219

9219 = 3 x 7 x 439

Step 2: Find the prime factorization of 9226

9226 = 2 x 7 x 659

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

LCM = 12150642 = 2 x 3 x 7 x 439 x 659

Step 4: Therefore, the least common multiple of 9219 and 9226 is 12150642.