Least Common Multiple of 235 and 238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 235 and 238 the smallest integer that is 55930 that is divisible by both numbers.

Least Common Multiple (LCM) of 235 and 238 is 55930.

LCM(235,238) = 55930

LCM of 235 and 238

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

LCM of:
and

Least Common Multiple of 235 and 238

LCM of 235 and 238 is 55930

Least common multiple can be found by multiplying the highest exponent prime factors of 235 and 238. First we will calculate the prime factors of 235 and 238.

Prime Factorization of 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 235 and 238.

LCM(235,238) = 21×51×71×171×471
LCM(235,238) = 55930

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Factors of 238

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

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

Least Common Multiple of 235 and 238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 235 and 238, than apply into the LCM equation.

GCF(235,238) = 1
LCM(235,238) = ( 235 × 238) / 1
LCM(235,238) = 55930 / 1
LCM(235,238) = 55930

Properties of LCM 235 and 238

(i) The LCM of 238 and 235 is associative

LCM of 235 and 238 = LCM of 238 and 235

Related Least Common Multiples of 235

Related Least Common Multiples of 238

Frequently Asked Questions on LCM of 235 and 238

1. What is the LCM of 235 and 238?

Answer: LCM of 235 and 238 is 55930.

2. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

3. 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.

4. How to Find the LCM of 235 and 238?

Answer:

Least Common Multiple of 235 and 238 = 55930

Step 1: Find the prime factorization of 235

235 = 5 x 47

Step 2: Find the prime factorization of 238

238 = 2 x 7 x 17

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

LCM = 55930 = 2 x 5 x 7 x 17 x 47

Step 4: Therefore, the least common multiple of 235 and 238 is 55930.