Least Common Multiple of 4232 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 4232 and 4238 the smallest integer that is 8967608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4232 and 4238 is 8967608.

LCM(4232,4238) = 8967608

LCM of 4232 and 4238

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

LCM of:
and

Least Common Multiple of 4232 and 4238

LCM of 4232 and 4238 is 8967608

Least common multiple can be found by multiplying the highest exponent prime factors of 4232 and 4238. First we will calculate the prime factors of 4232 and 4238.

Prime Factorization of 4232


2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 4232 are 2,23. Prime factorization of 4232 in exponential form is:

4232 = 23×232

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 4232 and 4238.

LCM(4232,4238) = 23×131×232×1631
LCM(4232,4238) = 8967608

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232

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 4232 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 4232 and 4238, than apply into the LCM equation.

GCF(4232,4238) = 2
LCM(4232,4238) = ( 4232 × 4238) / 2
LCM(4232,4238) = 17935216 / 2
LCM(4232,4238) = 8967608

Properties of LCM 4232 and 4238

(i) The LCM of 4238 and 4232 is associative

LCM of 4232 and 4238 = LCM of 4238 and 4232

Related Least Common Multiples of 4232

Related Least Common Multiples of 4238

Frequently Asked Questions on LCM of 4232 and 4238

1. What is the LCM of 4232 and 4238?

Answer: LCM of 4232 and 4238 is 8967608.

2. What are the Factors of 4232?

Answer: Factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232. There are 12 integers that are factors of 4232. The greatest factor of 4232 is 4232.

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 4232 and 4238?

Answer:

Least Common Multiple of 4232 and 4238 = 8967608

Step 1: Find the prime factorization of 4232

4232 = 2 x 2 x 2 x 23 x 23

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 = 8967608 = 2 x 2 x 2 x 13 x 23 x 23 x 163

Step 4: Therefore, the least common multiple of 4232 and 4238 is 8967608.