Least Common Multiple of 3219 and 3224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3219 and 3224 the smallest integer that is 10378056 that is divisible by both numbers.

Least Common Multiple (LCM) of 3219 and 3224 is 10378056.

LCM(3219,3224) = 10378056

LCM of 3219 and 3224

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

LCM of:
and

Least Common Multiple of 3219 and 3224

LCM of 3219 and 3224 is 10378056

Least common multiple can be found by multiplying the highest exponent prime factors of 3219 and 3224. First we will calculate the prime factors of 3219 and 3224.

Prime Factorization of 3219


3 3219
29 1073
37 37
1

Prime factors of 3219 are 3, 29,37. Prime factorization of 3219 in exponential form is:

3219 = 31×291×371

Prime Factorization of 3224


2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 3224 are 2, 13,31. Prime factorization of 3224 in exponential form is:

3224 = 23×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3219 and 3224.

LCM(3219,3224) = 23×31×131×291×311×371
LCM(3219,3224) = 10378056

Factors of 3219

List of positive integer factors of 3219 that divides 3219 without a remainder.

1, 3, 29, 37, 87, 111, 1073, 3219

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224

Least Common Multiple of 3219 and 3224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3219 and 3224, than apply into the LCM equation.

GCF(3219,3224) = 1
LCM(3219,3224) = ( 3219 × 3224) / 1
LCM(3219,3224) = 10378056 / 1
LCM(3219,3224) = 10378056

Properties of LCM 3219 and 3224

(i) The LCM of 3224 and 3219 is associative

LCM of 3219 and 3224 = LCM of 3224 and 3219

Related Least Common Multiples of 3219

Related Least Common Multiples of 3224

Frequently Asked Questions on LCM of 3219 and 3224

1. What is the LCM of 3219 and 3224?

Answer: LCM of 3219 and 3224 is 10378056.

2. What are the Factors of 3219?

Answer: Factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219. There are 8 integers that are factors of 3219. The greatest factor of 3219 is 3219.

3. What are the Factors of 3224?

Answer: Factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224. There are 16 integers that are factors of 3224. The greatest factor of 3224 is 3224.

4. How to Find the LCM of 3219 and 3224?

Answer:

Least Common Multiple of 3219 and 3224 = 10378056

Step 1: Find the prime factorization of 3219

3219 = 3 x 29 x 37

Step 2: Find the prime factorization of 3224

3224 = 2 x 2 x 2 x 13 x 31

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

LCM = 10378056 = 2 x 2 x 2 x 3 x 13 x 29 x 31 x 37

Step 4: Therefore, the least common multiple of 3219 and 3224 is 10378056.