Least Common Multiple of 238 and 239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 238 and 239 the smallest integer that is 56882 that is divisible by both numbers.

Least Common Multiple (LCM) of 238 and 239 is 56882.

LCM(238,239) = 56882

LCM of 238 and 239

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

LCM of:
and

Least Common Multiple of 238 and 239

LCM of 238 and 239 is 56882

Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 239. First we will calculate the prime factors of 238 and 239.

Prime Factorization of 238


2 238
7 119
17 17
1

Prime factors of 238 are 2, 7,17. Prime factorization of 238 in exponential form is:

238 = 21×71×171

Prime Factorization of 239


239 239
1

Prime factors of 239 are 239. Prime factorization of 239 in exponential form is:

239 = 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 239.

LCM(238,239) = 21×71×171×2391
LCM(238,239) = 56882

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1, 239

Least Common Multiple of 238 and 239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 239, than apply into the LCM equation.

GCF(238,239) = 1
LCM(238,239) = ( 238 × 239) / 1
LCM(238,239) = 56882 / 1
LCM(238,239) = 56882

Properties of LCM 238 and 239

(i) The LCM of 239 and 238 is associative

LCM of 238 and 239 = LCM of 239 and 238

Related Least Common Multiples of 238

Related Least Common Multiples of 239

Frequently Asked Questions on LCM of 238 and 239

1. What is the LCM of 238 and 239?

Answer: LCM of 238 and 239 is 56882.

2. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

3. What are the Factors of 239?

Answer: Factors of 239 are 1, 239. There are 2 integers that are factors of 239. The greatest factor of 239 is 239.

4. How to Find the LCM of 238 and 239?

Answer:

Least Common Multiple of 238 and 239 = 56882

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 239

239 = 239

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

LCM = 56882 = 2 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 238 and 239 is 56882.