Least Common Multiple of 233 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 233 and 239 the smallest integer that is 55687 that is divisible by both numbers.

Least Common Multiple (LCM) of 233 and 239 is 55687.

LCM(233,239) = 55687

LCM of 233 and 239

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

LCM of:
and

Least Common Multiple of 233 and 239

LCM of 233 and 239 is 55687

Least common multiple can be found by multiplying the highest exponent prime factors of 233 and 239. First we will calculate the prime factors of 233 and 239.

Prime Factorization of 233


233 233
1

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

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 233 and 239.

LCM(233,239) = 2331×2391
LCM(233,239) = 55687

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1, 233

Factors of 239

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

1, 239

Least Common Multiple of 233 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 233 and 239, than apply into the LCM equation.

GCF(233,239) = 1
LCM(233,239) = ( 233 × 239) / 1
LCM(233,239) = 55687 / 1
LCM(233,239) = 55687

Properties of LCM 233 and 239

(i) The LCM of 239 and 233 is associative

LCM of 233 and 239 = LCM of 239 and 233

Related Least Common Multiples of 233

Related Least Common Multiples of 239

Frequently Asked Questions on LCM of 233 and 239

1. What is the LCM of 233 and 239?

Answer: LCM of 233 and 239 is 55687.

2. What are the Factors of 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

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 233 and 239?

Answer:

Least Common Multiple of 233 and 239 = 55687

Step 1: Find the prime factorization of 233

233 = 233

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 = 55687 = 233 x 239

Step 4: Therefore, the least common multiple of 233 and 239 is 55687.