Least Common Multiple of 242 and 247

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 247 the smallest integer that is 59774 that is divisible by both numbers.

Least Common Multiple (LCM) of 242 and 247 is 59774.

LCM(242,247) = 59774

LCM of 242 and 247

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

LCM of:
and

Least Common Multiple of 242 and 247

LCM of 242 and 247 is 59774

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 247. First we will calculate the prime factors of 242 and 247.

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 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 247.

LCM(242,247) = 21×112×131×191
LCM(242,247) = 59774

Factors of 242

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

1, 2, 11, 22, 121, 242

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Least Common Multiple of 242 and 247 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 247, than apply into the LCM equation.

GCF(242,247) = 1
LCM(242,247) = ( 242 × 247) / 1
LCM(242,247) = 59774 / 1
LCM(242,247) = 59774

Properties of LCM 242 and 247

(i) The LCM of 247 and 242 is associative

LCM of 242 and 247 = LCM of 247 and 242

Related Least Common Multiples of 242

Related Least Common Multiples of 247

Frequently Asked Questions on LCM of 242 and 247

1. What is the LCM of 242 and 247?

Answer: LCM of 242 and 247 is 59774.

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 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

4. How to Find the LCM of 242 and 247?

Answer:

Least Common Multiple of 242 and 247 = 59774

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 247

247 = 13 x 19

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

LCM = 59774 = 2 x 11 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 242 and 247 is 59774.