Least Common Multiple of 242 and 244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 242 and 244 the smallest integer that is 29524 that is divisible by both numbers.

Least Common Multiple (LCM) of 242 and 244 is 29524.

LCM(242,244) = 29524

LCM of 242 and 244

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

LCM of:
and

Least Common Multiple of 242 and 244

LCM of 242 and 244 is 29524

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 244. First we will calculate the prime factors of 242 and 244.

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

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 244.

LCM(242,244) = 22×112×611
LCM(242,244) = 29524

Factors of 242

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

1, 2, 11, 22, 121, 242

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Least Common Multiple of 242 and 244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 242 and 244, than apply into the LCM equation.

GCF(242,244) = 2
LCM(242,244) = ( 242 × 244) / 2
LCM(242,244) = 59048 / 2
LCM(242,244) = 29524

Properties of LCM 242 and 244

(i) The LCM of 244 and 242 is associative

LCM of 242 and 244 = LCM of 244 and 242

Related Least Common Multiples of 242

Related Least Common Multiples of 244

Frequently Asked Questions on LCM of 242 and 244

1. What is the LCM of 242 and 244?

Answer: LCM of 242 and 244 is 29524.

2. 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.

3. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

4. How to Find the LCM of 242 and 244?

Answer:

Least Common Multiple of 242 and 244 = 29524

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 244

244 = 2 x 2 x 61

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

LCM = 29524 = 2 x 2 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 242 and 244 is 29524.