Least Common Multiple of 4229 and 4230

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 4230 the smallest integer that is 17888670 that is divisible by both numbers.

Least Common Multiple (LCM) of 4229 and 4230 is 17888670.

LCM(4229,4230) = 17888670

LCM of 4229 and 4230

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

LCM of:
and

Least Common Multiple of 4229 and 4230

LCM of 4229 and 4230 is 17888670

Least common multiple can be found by multiplying the highest exponent prime factors of 4229 and 4230. First we will calculate the prime factors of 4229 and 4230.

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 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2, 3, 5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4229 and 4230.

LCM(4229,4230) = 21×32×51×471×42291
LCM(4229,4230) = 17888670

Factors of 4229

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

1, 4229

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230

Least Common Multiple of 4229 and 4230 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 4230, than apply into the LCM equation.

GCF(4229,4230) = 1
LCM(4229,4230) = ( 4229 × 4230) / 1
LCM(4229,4230) = 17888670 / 1
LCM(4229,4230) = 17888670

Properties of LCM 4229 and 4230

(i) The LCM of 4230 and 4229 is associative

LCM of 4229 and 4230 = LCM of 4230 and 4229

Related Least Common Multiples of 4229

Related Least Common Multiples of 4230

Frequently Asked Questions on LCM of 4229 and 4230

1. What is the LCM of 4229 and 4230?

Answer: LCM of 4229 and 4230 is 17888670.

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 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

4. How to Find the LCM of 4229 and 4230?

Answer:

Least Common Multiple of 4229 and 4230 = 17888670

Step 1: Find the prime factorization of 4229

4229 = 4229

Step 2: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

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

LCM = 17888670 = 2 x 3 x 3 x 5 x 47 x 4229

Step 4: Therefore, the least common multiple of 4229 and 4230 is 17888670.