Least Common Multiple of 4230 and 4233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4230 and 4233 the smallest integer that is 5968530 that is divisible by both numbers.

Least Common Multiple (LCM) of 4230 and 4233 is 5968530.

LCM(4230,4233) = 5968530

LCM of 4230 and 4233

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

LCM of:
and

Least Common Multiple of 4230 and 4233

LCM of 4230 and 4233 is 5968530

Least common multiple can be found by multiplying the highest exponent prime factors of 4230 and 4233. First we will calculate the prime factors of 4230 and 4233.

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

Prime Factorization of 4233


3 4233
17 1411
83 83
1

Prime factors of 4233 are 3, 17,83. Prime factorization of 4233 in exponential form is:

4233 = 31×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4230 and 4233.

LCM(4230,4233) = 21×32×51×171×471×831
LCM(4230,4233) = 5968530

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

Factors of 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1, 3, 17, 51, 83, 249, 1411, 4233

Least Common Multiple of 4230 and 4233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4230 and 4233, than apply into the LCM equation.

GCF(4230,4233) = 3
LCM(4230,4233) = ( 4230 × 4233) / 3
LCM(4230,4233) = 17905590 / 3
LCM(4230,4233) = 5968530

Properties of LCM 4230 and 4233

(i) The LCM of 4233 and 4230 is associative

LCM of 4230 and 4233 = LCM of 4233 and 4230

Related Least Common Multiples of 4230

Related Least Common Multiples of 4233

Frequently Asked Questions on LCM of 4230 and 4233

1. What is the LCM of 4230 and 4233?

Answer: LCM of 4230 and 4233 is 5968530.

2. 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.

3. What are the Factors of 4233?

Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.

4. How to Find the LCM of 4230 and 4233?

Answer:

Least Common Multiple of 4230 and 4233 = 5968530

Step 1: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 4233

4233 = 3 x 17 x 83

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

LCM = 5968530 = 2 x 3 x 3 x 5 x 17 x 47 x 83

Step 4: Therefore, the least common multiple of 4230 and 4233 is 5968530.