Least Common Multiple of 3236 and 3241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3236 and 3241 the smallest integer that is 10487876 that is divisible by both numbers.

Least Common Multiple (LCM) of 3236 and 3241 is 10487876.

LCM(3236,3241) = 10487876

LCM of 3236 and 3241

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

LCM of:
and

Least Common Multiple of 3236 and 3241

LCM of 3236 and 3241 is 10487876

Least common multiple can be found by multiplying the highest exponent prime factors of 3236 and 3241. First we will calculate the prime factors of 3236 and 3241.

Prime Factorization of 3236


2 3236
2 1618
809 809
1

Prime factors of 3236 are 2,809. Prime factorization of 3236 in exponential form is:

3236 = 22×8091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3236 and 3241.

LCM(3236,3241) = 22×71×4631×8091
LCM(3236,3241) = 10487876

Factors of 3236

List of positive integer factors of 3236 that divides 3236 without a remainder.

1, 2, 4, 809, 1618, 3236

Factors of 3241

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

1, 7, 463, 3241

Least Common Multiple of 3236 and 3241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3236 and 3241, than apply into the LCM equation.

GCF(3236,3241) = 1
LCM(3236,3241) = ( 3236 × 3241) / 1
LCM(3236,3241) = 10487876 / 1
LCM(3236,3241) = 10487876

Properties of LCM 3236 and 3241

(i) The LCM of 3241 and 3236 is associative

LCM of 3236 and 3241 = LCM of 3241 and 3236

Related Least Common Multiples of 3236

Related Least Common Multiples of 3241

Frequently Asked Questions on LCM of 3236 and 3241

1. What is the LCM of 3236 and 3241?

Answer: LCM of 3236 and 3241 is 10487876.

2. What are the Factors of 3236?

Answer: Factors of 3236 are 1, 2, 4, 809, 1618, 3236. There are 6 integers that are factors of 3236. The greatest factor of 3236 is 3236.

3. 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.

4. How to Find the LCM of 3236 and 3241?

Answer:

Least Common Multiple of 3236 and 3241 = 10487876

Step 1: Find the prime factorization of 3236

3236 = 2 x 2 x 809

Step 2: Find the prime factorization of 3241

3241 = 7 x 463

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

LCM = 10487876 = 2 x 2 x 7 x 463 x 809

Step 4: Therefore, the least common multiple of 3236 and 3241 is 10487876.