Least Common Multiple of 3241 and 3245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3241 and 3245 the smallest integer that is 10517045 that is divisible by both numbers.

Least Common Multiple (LCM) of 3241 and 3245 is 10517045.

LCM(3241,3245) = 10517045

LCM of 3241 and 3245

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

LCM of:
and

Least Common Multiple of 3241 and 3245

LCM of 3241 and 3245 is 10517045

Least common multiple can be found by multiplying the highest exponent prime factors of 3241 and 3245. First we will calculate the prime factors of 3241 and 3245.

Prime Factorization of 3241


7 3241
463 463
1

Prime factors of 3241 are 7,463. Prime factorization of 3241 in exponential form is:

3241 = 71×4631

Prime Factorization of 3245


5 3245
11 649
59 59
1

Prime factors of 3245 are 5, 11,59. Prime factorization of 3245 in exponential form is:

3245 = 51×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3241 and 3245.

LCM(3241,3245) = 51×71×111×591×4631
LCM(3241,3245) = 10517045

Factors of 3241

List of positive integer factors of 3241 that divides 3241 without a remainder.

1, 7, 463, 3241

Factors of 3245

List of positive integer factors of 3245 that divides 3245 without a remainder.

1, 5, 11, 55, 59, 295, 649, 3245

Least Common Multiple of 3241 and 3245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3241 and 3245, than apply into the LCM equation.

GCF(3241,3245) = 1
LCM(3241,3245) = ( 3241 × 3245) / 1
LCM(3241,3245) = 10517045 / 1
LCM(3241,3245) = 10517045

Properties of LCM 3241 and 3245

(i) The LCM of 3245 and 3241 is associative

LCM of 3241 and 3245 = LCM of 3245 and 3241

Related Least Common Multiples of 3241

Related Least Common Multiples of 3245

Frequently Asked Questions on LCM of 3241 and 3245

1. What is the LCM of 3241 and 3245?

Answer: LCM of 3241 and 3245 is 10517045.

2. What are the Factors of 3241?

Answer: Factors of 3241 are 1, 7, 463, 3241. There are 4 integers that are factors of 3241. The greatest factor of 3241 is 3241.

3. What are the Factors of 3245?

Answer: Factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245. There are 8 integers that are factors of 3245. The greatest factor of 3245 is 3245.

4. How to Find the LCM of 3241 and 3245?

Answer:

Least Common Multiple of 3241 and 3245 = 10517045

Step 1: Find the prime factorization of 3241

3241 = 7 x 463

Step 2: Find the prime factorization of 3245

3245 = 5 x 11 x 59

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

LCM = 10517045 = 5 x 7 x 11 x 59 x 463

Step 4: Therefore, the least common multiple of 3241 and 3245 is 10517045.