Least Common Multiple of 235 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 235 and 239 the smallest integer that is 56165 that is divisible by both numbers.

Least Common Multiple (LCM) of 235 and 239 is 56165.

LCM(235,239) = 56165

LCM of 235 and 239

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

LCM of:
and

Least Common Multiple of 235 and 239

LCM of 235 and 239 is 56165

Least common multiple can be found by multiplying the highest exponent prime factors of 235 and 239. First we will calculate the prime factors of 235 and 239.

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 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 235 and 239.

LCM(235,239) = 51×471×2391
LCM(235,239) = 56165

Factors of 235

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

1, 5, 47, 235

Factors of 239

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

1, 239

Least Common Multiple of 235 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 235 and 239, than apply into the LCM equation.

GCF(235,239) = 1
LCM(235,239) = ( 235 × 239) / 1
LCM(235,239) = 56165 / 1
LCM(235,239) = 56165

Properties of LCM 235 and 239

(i) The LCM of 239 and 235 is associative

LCM of 235 and 239 = LCM of 239 and 235

Related Least Common Multiples of 235

Related Least Common Multiples of 239

Frequently Asked Questions on LCM of 235 and 239

1. What is the LCM of 235 and 239?

Answer: LCM of 235 and 239 is 56165.

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 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 235 and 239?

Answer:

Least Common Multiple of 235 and 239 = 56165

Step 1: Find the prime factorization of 235

235 = 5 x 47

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 = 56165 = 5 x 47 x 239

Step 4: Therefore, the least common multiple of 235 and 239 is 56165.