Least Common Multiple of 237 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 237 and 242 the smallest integer that is 57354 that is divisible by both numbers.

Least Common Multiple (LCM) of 237 and 242 is 57354.

LCM(237,242) = 57354

LCM of 237 and 242

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

LCM of:
and

Least Common Multiple of 237 and 242

LCM of 237 and 242 is 57354

Least common multiple can be found by multiplying the highest exponent prime factors of 237 and 242. First we will calculate the prime factors of 237 and 242.

Prime Factorization of 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

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 237 and 242.

LCM(237,242) = 21×31×112×791
LCM(237,242) = 57354

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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 237 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 237 and 242, than apply into the LCM equation.

GCF(237,242) = 1
LCM(237,242) = ( 237 × 242) / 1
LCM(237,242) = 57354 / 1
LCM(237,242) = 57354

Properties of LCM 237 and 242

(i) The LCM of 242 and 237 is associative

LCM of 237 and 242 = LCM of 242 and 237

Related Least Common Multiples of 237

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 237 and 242

1. What is the LCM of 237 and 242?

Answer: LCM of 237 and 242 is 57354.

2. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

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 237 and 242?

Answer:

Least Common Multiple of 237 and 242 = 57354

Step 1: Find the prime factorization of 237

237 = 3 x 79

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 = 57354 = 2 x 3 x 11 x 11 x 79

Step 4: Therefore, the least common multiple of 237 and 242 is 57354.