Least Common Multiple of 3215 and 3217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3215 and 3217 the smallest integer that is 10342655 that is divisible by both numbers.

Least Common Multiple (LCM) of 3215 and 3217 is 10342655.

LCM(3215,3217) = 10342655

LCM of 3215 and 3217

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

LCM of:
and

Least Common Multiple of 3215 and 3217

LCM of 3215 and 3217 is 10342655

Least common multiple can be found by multiplying the highest exponent prime factors of 3215 and 3217. First we will calculate the prime factors of 3215 and 3217.

Prime Factorization of 3215


5 3215
643 643
1

Prime factors of 3215 are 5,643. Prime factorization of 3215 in exponential form is:

3215 = 51×6431

Prime Factorization of 3217


3217 3217
1

Prime factors of 3217 are 3217. Prime factorization of 3217 in exponential form is:

3217 = 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 3215 and 3217.

LCM(3215,3217) = 51×6431×32171
LCM(3215,3217) = 10342655

Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1, 5, 643, 3215

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1, 3217

Least Common Multiple of 3215 and 3217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3215 and 3217, than apply into the LCM equation.

GCF(3215,3217) = 1
LCM(3215,3217) = ( 3215 × 3217) / 1
LCM(3215,3217) = 10342655 / 1
LCM(3215,3217) = 10342655

Properties of LCM 3215 and 3217

(i) The LCM of 3217 and 3215 is associative

LCM of 3215 and 3217 = LCM of 3217 and 3215

Related Least Common Multiples of 3215

Related Least Common Multiples of 3217

Frequently Asked Questions on LCM of 3215 and 3217

1. What is the LCM of 3215 and 3217?

Answer: LCM of 3215 and 3217 is 10342655.

2. What are the Factors of 3215?

Answer: Factors of 3215 are 1, 5, 643, 3215. There are 4 integers that are factors of 3215. The greatest factor of 3215 is 3215.

3. What are the Factors of 3217?

Answer: Factors of 3217 are 1, 3217. There are 2 integers that are factors of 3217. The greatest factor of 3217 is 3217.

4. How to Find the LCM of 3215 and 3217?

Answer:

Least Common Multiple of 3215 and 3217 = 10342655

Step 1: Find the prime factorization of 3215

3215 = 5 x 643

Step 2: Find the prime factorization of 3217

3217 = 3217

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

LCM = 10342655 = 5 x 643 x 3217

Step 4: Therefore, the least common multiple of 3215 and 3217 is 10342655.