Least Common Multiple of 12213 and 12219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12213 and 12219 the smallest integer that is 49743549 that is divisible by both numbers.

Least Common Multiple (LCM) of 12213 and 12219 is 49743549.

LCM(12213,12219) = 49743549

LCM of 12213 and 12219

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

LCM of:
and

Least Common Multiple of 12213 and 12219

LCM of 12213 and 12219 is 49743549

Least common multiple can be found by multiplying the highest exponent prime factors of 12213 and 12219. First we will calculate the prime factors of 12213 and 12219.

Prime Factorization of 12213


3 12213
3 4071
23 1357
59 59
1

Prime factors of 12213 are 3, 23,59. Prime factorization of 12213 in exponential form is:

12213 = 32×231×591

Prime Factorization of 12219


3 12219
4073 4073
1

Prime factors of 12219 are 3,4073. Prime factorization of 12219 in exponential form is:

12219 = 31×40731

Now multiplying the highest exponent prime factors to calculate the LCM of 12213 and 12219.

LCM(12213,12219) = 32×231×591×40731
LCM(12213,12219) = 49743549

Factors of 12213

List of positive integer factors of 12213 that divides 12213 without a remainder.

1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213

Factors of 12219

List of positive integer factors of 12219 that divides 12219 without a remainder.

1, 3, 4073, 12219

Least Common Multiple of 12213 and 12219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12213 and 12219, than apply into the LCM equation.

GCF(12213,12219) = 3
LCM(12213,12219) = ( 12213 × 12219) / 3
LCM(12213,12219) = 149230647 / 3
LCM(12213,12219) = 49743549

Properties of LCM 12213 and 12219

(i) The LCM of 12219 and 12213 is associative

LCM of 12213 and 12219 = LCM of 12219 and 12213

Related Least Common Multiples of 12213

Related Least Common Multiples of 12219

Frequently Asked Questions on LCM of 12213 and 12219

1. What is the LCM of 12213 and 12219?

Answer: LCM of 12213 and 12219 is 49743549.

2. What are the Factors of 12213?

Answer: Factors of 12213 are 1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213. There are 12 integers that are factors of 12213. The greatest factor of 12213 is 12213.

3. What are the Factors of 12219?

Answer: Factors of 12219 are 1, 3, 4073, 12219. There are 4 integers that are factors of 12219. The greatest factor of 12219 is 12219.

4. How to Find the LCM of 12213 and 12219?

Answer:

Least Common Multiple of 12213 and 12219 = 49743549

Step 1: Find the prime factorization of 12213

12213 = 3 x 3 x 23 x 59

Step 2: Find the prime factorization of 12219

12219 = 3 x 4073

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

LCM = 49743549 = 3 x 3 x 23 x 59 x 4073

Step 4: Therefore, the least common multiple of 12213 and 12219 is 49743549.