Least Common Multiple of 241 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 241 and 246 the smallest integer that is 59286 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 246 is 59286.

LCM(241,246) = 59286

LCM of 241 and 246

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

LCM of:
and

Least Common Multiple of 241 and 246

LCM of 241 and 246 is 59286

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 246. First we will calculate the prime factors of 241 and 246.

Prime Factorization of 241


241 241
1

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 2411

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 241 and 246.

LCM(241,246) = 21×31×411×2411
LCM(241,246) = 59286

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1, 241

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 241 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 241 and 246, than apply into the LCM equation.

GCF(241,246) = 1
LCM(241,246) = ( 241 × 246) / 1
LCM(241,246) = 59286 / 1
LCM(241,246) = 59286

Properties of LCM 241 and 246

(i) The LCM of 246 and 241 is associative

LCM of 241 and 246 = LCM of 246 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 246

Frequently Asked Questions on LCM of 241 and 246

1. What is the LCM of 241 and 246?

Answer: LCM of 241 and 246 is 59286.

2. What are the Factors of 241?

Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.

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 241 and 246?

Answer:

Least Common Multiple of 241 and 246 = 59286

Step 1: Find the prime factorization of 241

241 = 241

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 = 59286 = 2 x 3 x 41 x 241

Step 4: Therefore, the least common multiple of 241 and 246 is 59286.