Least Common Multiple of 234 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 234 and 242 the smallest integer that is 28314 that is divisible by both numbers.

Least Common Multiple (LCM) of 234 and 242 is 28314.

LCM(234,242) = 28314

LCM of 234 and 242

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

LCM of:
and

Least Common Multiple of 234 and 242

LCM of 234 and 242 is 28314

Least common multiple can be found by multiplying the highest exponent prime factors of 234 and 242. First we will calculate the prime factors of 234 and 242.

Prime Factorization of 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

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 234 and 242.

LCM(234,242) = 21×32×112×131
LCM(234,242) = 28314

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 234 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 234 and 242, than apply into the LCM equation.

GCF(234,242) = 2
LCM(234,242) = ( 234 × 242) / 2
LCM(234,242) = 56628 / 2
LCM(234,242) = 28314

Properties of LCM 234 and 242

(i) The LCM of 242 and 234 is associative

LCM of 234 and 242 = LCM of 242 and 234

Related Least Common Multiples of 234

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 234 and 242

1. What is the LCM of 234 and 242?

Answer: LCM of 234 and 242 is 28314.

2. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

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 234 and 242?

Answer:

Least Common Multiple of 234 and 242 = 28314

Step 1: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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 = 28314 = 2 x 3 x 3 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 234 and 242 is 28314.