Least Common Multiple of 3224 and 3229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3224 and 3229 the smallest integer that is 10410296 that is divisible by both numbers.

Least Common Multiple (LCM) of 3224 and 3229 is 10410296.

LCM(3224,3229) = 10410296

LCM of 3224 and 3229

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

LCM of:
and

Least Common Multiple of 3224 and 3229

LCM of 3224 and 3229 is 10410296

Least common multiple can be found by multiplying the highest exponent prime factors of 3224 and 3229. First we will calculate the prime factors of 3224 and 3229.

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

Prime Factorization of 3229


3229 3229
1

Prime factors of 3229 are 3229. Prime factorization of 3229 in exponential form is:

3229 = 32291

Now multiplying the highest exponent prime factors to calculate the LCM of 3224 and 3229.

LCM(3224,3229) = 23×131×311×32291
LCM(3224,3229) = 10410296

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

Factors of 3229

List of positive integer factors of 3229 that divides 3229 without a remainder.

1, 3229

Least Common Multiple of 3224 and 3229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3224 and 3229, than apply into the LCM equation.

GCF(3224,3229) = 1
LCM(3224,3229) = ( 3224 × 3229) / 1
LCM(3224,3229) = 10410296 / 1
LCM(3224,3229) = 10410296

Properties of LCM 3224 and 3229

(i) The LCM of 3229 and 3224 is associative

LCM of 3224 and 3229 = LCM of 3229 and 3224

Related Least Common Multiples of 3224

Related Least Common Multiples of 3229

Frequently Asked Questions on LCM of 3224 and 3229

1. What is the LCM of 3224 and 3229?

Answer: LCM of 3224 and 3229 is 10410296.

2. 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.

3. What are the Factors of 3229?

Answer: Factors of 3229 are 1, 3229. There are 2 integers that are factors of 3229. The greatest factor of 3229 is 3229.

4. How to Find the LCM of 3224 and 3229?

Answer:

Least Common Multiple of 3224 and 3229 = 10410296

Step 1: Find the prime factorization of 3224

3224 = 2 x 2 x 2 x 13 x 31

Step 2: Find the prime factorization of 3229

3229 = 3229

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

LCM = 10410296 = 2 x 2 x 2 x 13 x 31 x 3229

Step 4: Therefore, the least common multiple of 3224 and 3229 is 10410296.