Least Common Multiple of 241 and 245

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 245 the smallest integer that is 59045 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 245 is 59045.

LCM(241,245) = 59045

LCM of 241 and 245

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

LCM of:
and

Least Common Multiple of 241 and 245

LCM of 241 and 245 is 59045

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 245. First we will calculate the prime factors of 241 and 245.

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 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 245.

LCM(241,245) = 51×72×2411
LCM(241,245) = 59045

Factors of 241

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

1, 241

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Least Common Multiple of 241 and 245 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 245, than apply into the LCM equation.

GCF(241,245) = 1
LCM(241,245) = ( 241 × 245) / 1
LCM(241,245) = 59045 / 1
LCM(241,245) = 59045

Properties of LCM 241 and 245

(i) The LCM of 245 and 241 is associative

LCM of 241 and 245 = LCM of 245 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 245

Frequently Asked Questions on LCM of 241 and 245

1. What is the LCM of 241 and 245?

Answer: LCM of 241 and 245 is 59045.

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 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the LCM of 241 and 245?

Answer:

Least Common Multiple of 241 and 245 = 59045

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 245

245 = 5 x 7 x 7

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

LCM = 59045 = 5 x 7 x 7 x 241

Step 4: Therefore, the least common multiple of 241 and 245 is 59045.