Least Common Multiple of 4230 and 4238

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 4238 the smallest integer that is 8963370 that is divisible by both numbers.

Least Common Multiple (LCM) of 4230 and 4238 is 8963370.

LCM(4230,4238) = 8963370

LCM of 4230 and 4238

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

LCM of:
and

Least Common Multiple of 4230 and 4238

LCM of 4230 and 4238 is 8963370

Least common multiple can be found by multiplying the highest exponent prime factors of 4230 and 4238. First we will calculate the prime factors of 4230 and 4238.

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 4238


2 4238
13 2119
163 163
1

Prime factors of 4238 are 2, 13,163. Prime factorization of 4238 in exponential form is:

4238 = 21×131×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4230 and 4238.

LCM(4230,4238) = 21×32×51×131×471×1631
LCM(4230,4238) = 8963370

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 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1, 2, 13, 26, 163, 326, 2119, 4238

Least Common Multiple of 4230 and 4238 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 4238, than apply into the LCM equation.

GCF(4230,4238) = 2
LCM(4230,4238) = ( 4230 × 4238) / 2
LCM(4230,4238) = 17926740 / 2
LCM(4230,4238) = 8963370

Properties of LCM 4230 and 4238

(i) The LCM of 4238 and 4230 is associative

LCM of 4230 and 4238 = LCM of 4238 and 4230

Related Least Common Multiples of 4230

Related Least Common Multiples of 4238

Frequently Asked Questions on LCM of 4230 and 4238

1. What is the LCM of 4230 and 4238?

Answer: LCM of 4230 and 4238 is 8963370.

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 4238?

Answer: Factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238. There are 8 integers that are factors of 4238. The greatest factor of 4238 is 4238.

4. How to Find the LCM of 4230 and 4238?

Answer:

Least Common Multiple of 4230 and 4238 = 8963370

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 4238

4238 = 2 x 13 x 163

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

LCM = 8963370 = 2 x 3 x 3 x 5 x 13 x 47 x 163

Step 4: Therefore, the least common multiple of 4230 and 4238 is 8963370.