Least Common Multiple of 3241 and 3246

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 3246 the smallest integer that is 10520286 that is divisible by both numbers.

Least Common Multiple (LCM) of 3241 and 3246 is 10520286.

LCM(3241,3246) = 10520286

LCM of 3241 and 3246

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

LCM of:
and

Least Common Multiple of 3241 and 3246

LCM of 3241 and 3246 is 10520286

Least common multiple can be found by multiplying the highest exponent prime factors of 3241 and 3246. First we will calculate the prime factors of 3241 and 3246.

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 3246


2 3246
3 1623
541 541
1

Prime factors of 3246 are 2, 3,541. Prime factorization of 3246 in exponential form is:

3246 = 21×31×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 3241 and 3246.

LCM(3241,3246) = 21×31×71×4631×5411
LCM(3241,3246) = 10520286

Factors of 3241

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

1, 7, 463, 3241

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1, 2, 3, 6, 541, 1082, 1623, 3246

Least Common Multiple of 3241 and 3246 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 3246, than apply into the LCM equation.

GCF(3241,3246) = 1
LCM(3241,3246) = ( 3241 × 3246) / 1
LCM(3241,3246) = 10520286 / 1
LCM(3241,3246) = 10520286

Properties of LCM 3241 and 3246

(i) The LCM of 3246 and 3241 is associative

LCM of 3241 and 3246 = LCM of 3246 and 3241

Related Least Common Multiples of 3241

Related Least Common Multiples of 3246

Frequently Asked Questions on LCM of 3241 and 3246

1. What is the LCM of 3241 and 3246?

Answer: LCM of 3241 and 3246 is 10520286.

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 3246?

Answer: Factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246. There are 8 integers that are factors of 3246. The greatest factor of 3246 is 3246.

4. How to Find the LCM of 3241 and 3246?

Answer:

Least Common Multiple of 3241 and 3246 = 10520286

Step 1: Find the prime factorization of 3241

3241 = 7 x 463

Step 2: Find the prime factorization of 3246

3246 = 2 x 3 x 541

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

LCM = 10520286 = 2 x 3 x 7 x 463 x 541

Step 4: Therefore, the least common multiple of 3241 and 3246 is 10520286.