Least Common Multiple of 3229 and 3234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3229 and 3234 the smallest integer that is 10442586 that is divisible by both numbers.

Least Common Multiple (LCM) of 3229 and 3234 is 10442586.

LCM(3229,3234) = 10442586

LCM of 3229 and 3234

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

LCM of:
and

Least Common Multiple of 3229 and 3234

LCM of 3229 and 3234 is 10442586

Least common multiple can be found by multiplying the highest exponent prime factors of 3229 and 3234. First we will calculate the prime factors of 3229 and 3234.

Prime Factorization of 3229


3229 3229
1

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

3229 = 32291

Prime Factorization of 3234


2 3234
3 1617
7 539
7 77
11 11
1

Prime factors of 3234 are 2, 3, 7,11. Prime factorization of 3234 in exponential form is:

3234 = 21×31×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3229 and 3234.

LCM(3229,3234) = 21×31×72×111×32291
LCM(3229,3234) = 10442586

Factors of 3229

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

1, 3229

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234

Least Common Multiple of 3229 and 3234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3229 and 3234, than apply into the LCM equation.

GCF(3229,3234) = 1
LCM(3229,3234) = ( 3229 × 3234) / 1
LCM(3229,3234) = 10442586 / 1
LCM(3229,3234) = 10442586

Properties of LCM 3229 and 3234

(i) The LCM of 3234 and 3229 is associative

LCM of 3229 and 3234 = LCM of 3234 and 3229

Related Least Common Multiples of 3229

Related Least Common Multiples of 3234

Frequently Asked Questions on LCM of 3229 and 3234

1. What is the LCM of 3229 and 3234?

Answer: LCM of 3229 and 3234 is 10442586.

2. 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.

3. What are the Factors of 3234?

Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.

4. How to Find the LCM of 3229 and 3234?

Answer:

Least Common Multiple of 3229 and 3234 = 10442586

Step 1: Find the prime factorization of 3229

3229 = 3229

Step 2: Find the prime factorization of 3234

3234 = 2 x 3 x 7 x 7 x 11

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

LCM = 10442586 = 2 x 3 x 7 x 7 x 11 x 3229

Step 4: Therefore, the least common multiple of 3229 and 3234 is 10442586.