Least Common Multiple of 242 and 246

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 246 the smallest integer that is 29766 that is divisible by both numbers.

Least Common Multiple (LCM) of 242 and 246 is 29766.

LCM(242,246) = 29766

LCM of 242 and 246

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

LCM of:
and

Least Common Multiple of 242 and 246

LCM of 242 and 246 is 29766

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 246. First we will calculate the prime factors of 242 and 246.

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 246


2 246
3 123
41 41
1

Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 246.

LCM(242,246) = 21×31×112×411
LCM(242,246) = 29766

Factors of 242

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

1, 2, 11, 22, 121, 242

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Least Common Multiple of 242 and 246 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 246, than apply into the LCM equation.

GCF(242,246) = 2
LCM(242,246) = ( 242 × 246) / 2
LCM(242,246) = 59532 / 2
LCM(242,246) = 29766

Properties of LCM 242 and 246

(i) The LCM of 246 and 242 is associative

LCM of 242 and 246 = LCM of 246 and 242

Related Least Common Multiples of 242

Related Least Common Multiples of 246

Frequently Asked Questions on LCM of 242 and 246

1. What is the LCM of 242 and 246?

Answer: LCM of 242 and 246 is 29766.

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 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

4. How to Find the LCM of 242 and 246?

Answer:

Least Common Multiple of 242 and 246 = 29766

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 246

246 = 2 x 3 x 41

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

LCM = 29766 = 2 x 3 x 11 x 11 x 41

Step 4: Therefore, the least common multiple of 242 and 246 is 29766.