Least Common Multiple of 4229 and 4234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4229 and 4234 the smallest integer that is 17905586 that is divisible by both numbers.

Least Common Multiple (LCM) of 4229 and 4234 is 17905586.

LCM(4229,4234) = 17905586

LCM of 4229 and 4234

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

LCM of:
and

Least Common Multiple of 4229 and 4234

LCM of 4229 and 4234 is 17905586

Least common multiple can be found by multiplying the highest exponent prime factors of 4229 and 4234. First we will calculate the prime factors of 4229 and 4234.

Prime Factorization of 4229


4229 4229
1

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 42291

Prime Factorization of 4234


2 4234
29 2117
73 73
1

Prime factors of 4234 are 2, 29,73. Prime factorization of 4234 in exponential form is:

4234 = 21×291×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4229 and 4234.

LCM(4229,4234) = 21×291×731×42291
LCM(4229,4234) = 17905586

Factors of 4229

List of positive integer factors of 4229 that divides 4229 without a remainder.

1, 4229

Factors of 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1, 2, 29, 58, 73, 146, 2117, 4234

Least Common Multiple of 4229 and 4234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4229 and 4234, than apply into the LCM equation.

GCF(4229,4234) = 1
LCM(4229,4234) = ( 4229 × 4234) / 1
LCM(4229,4234) = 17905586 / 1
LCM(4229,4234) = 17905586

Properties of LCM 4229 and 4234

(i) The LCM of 4234 and 4229 is associative

LCM of 4229 and 4234 = LCM of 4234 and 4229

Related Least Common Multiples of 4229

Related Least Common Multiples of 4234

Frequently Asked Questions on LCM of 4229 and 4234

1. What is the LCM of 4229 and 4234?

Answer: LCM of 4229 and 4234 is 17905586.

2. What are the Factors of 4229?

Answer: Factors of 4229 are 1, 4229. There are 2 integers that are factors of 4229. The greatest factor of 4229 is 4229.

3. What are the Factors of 4234?

Answer: Factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234. There are 8 integers that are factors of 4234. The greatest factor of 4234 is 4234.

4. How to Find the LCM of 4229 and 4234?

Answer:

Least Common Multiple of 4229 and 4234 = 17905586

Step 1: Find the prime factorization of 4229

4229 = 4229

Step 2: Find the prime factorization of 4234

4234 = 2 x 29 x 73

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

LCM = 17905586 = 2 x 29 x 73 x 4229

Step 4: Therefore, the least common multiple of 4229 and 4234 is 17905586.