Least Common Multiple of 239 and 242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 239 and 242 the smallest integer that is 57838 that is divisible by both numbers.

Least Common Multiple (LCM) of 239 and 242 is 57838.

LCM(239,242) = 57838

LCM of 239 and 242

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

LCM of:
and

Least Common Multiple of 239 and 242

LCM of 239 and 242 is 57838

Least common multiple can be found by multiplying the highest exponent prime factors of 239 and 242. First we will calculate the prime factors of 239 and 242.

Prime Factorization of 239


239 239
1

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

239 = 2391

Prime Factorization of 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

Now multiplying the highest exponent prime factors to calculate the LCM of 239 and 242.

LCM(239,242) = 21×112×2391
LCM(239,242) = 57838

Factors of 239

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

1, 239

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Least Common Multiple of 239 and 242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 239 and 242, than apply into the LCM equation.

GCF(239,242) = 1
LCM(239,242) = ( 239 × 242) / 1
LCM(239,242) = 57838 / 1
LCM(239,242) = 57838

Properties of LCM 239 and 242

(i) The LCM of 242 and 239 is associative

LCM of 239 and 242 = LCM of 242 and 239

Related Least Common Multiples of 239

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 239 and 242

1. What is the LCM of 239 and 242?

Answer: LCM of 239 and 242 is 57838.

2. 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.

3. What are the Factors of 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

4. How to Find the LCM of 239 and 242?

Answer:

Least Common Multiple of 239 and 242 = 57838

Step 1: Find the prime factorization of 239

239 = 239

Step 2: Find the prime factorization of 242

242 = 2 x 11 x 11

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

LCM = 57838 = 2 x 11 x 11 x 239

Step 4: Therefore, the least common multiple of 239 and 242 is 57838.