Least Common Multiple of 235 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 235 and 242 the smallest integer that is 56870 that is divisible by both numbers.

Least Common Multiple (LCM) of 235 and 242 is 56870.

LCM(235,242) = 56870

LCM of 235 and 242

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

LCM of:
and

Least Common Multiple of 235 and 242

LCM of 235 and 242 is 56870

Least common multiple can be found by multiplying the highest exponent prime factors of 235 and 242. First we will calculate the prime factors of 235 and 242.

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 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 235 and 242.

LCM(235,242) = 21×51×112×471
LCM(235,242) = 56870

Factors of 235

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

1, 5, 47, 235

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 235 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 235 and 242, than apply into the LCM equation.

GCF(235,242) = 1
LCM(235,242) = ( 235 × 242) / 1
LCM(235,242) = 56870 / 1
LCM(235,242) = 56870

Properties of LCM 235 and 242

(i) The LCM of 242 and 235 is associative

LCM of 235 and 242 = LCM of 242 and 235

Related Least Common Multiples of 235

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 235 and 242

1. What is the LCM of 235 and 242?

Answer: LCM of 235 and 242 is 56870.

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 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 235 and 242?

Answer:

Least Common Multiple of 235 and 242 = 56870

Step 1: Find the prime factorization of 235

235 = 5 x 47

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 = 56870 = 2 x 5 x 11 x 11 x 47

Step 4: Therefore, the least common multiple of 235 and 242 is 56870.