Least Common Multiple of 3208 and 3215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3208 and 3215 the smallest integer that is 10313720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3208 and 3215 is 10313720.

LCM(3208,3215) = 10313720

LCM of 3208 and 3215

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

LCM of:
and

Least Common Multiple of 3208 and 3215

LCM of 3208 and 3215 is 10313720

Least common multiple can be found by multiplying the highest exponent prime factors of 3208 and 3215. First we will calculate the prime factors of 3208 and 3215.

Prime Factorization of 3208


2 3208
2 1604
2 802
401 401
1

Prime factors of 3208 are 2,401. Prime factorization of 3208 in exponential form is:

3208 = 23×4011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3208 and 3215.

LCM(3208,3215) = 23×51×4011×6431
LCM(3208,3215) = 10313720

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1, 2, 4, 8, 401, 802, 1604, 3208

Factors of 3215

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

1, 5, 643, 3215

Least Common Multiple of 3208 and 3215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3208 and 3215, than apply into the LCM equation.

GCF(3208,3215) = 1
LCM(3208,3215) = ( 3208 × 3215) / 1
LCM(3208,3215) = 10313720 / 1
LCM(3208,3215) = 10313720

Properties of LCM 3208 and 3215

(i) The LCM of 3215 and 3208 is associative

LCM of 3208 and 3215 = LCM of 3215 and 3208

Related Least Common Multiples of 3208

Related Least Common Multiples of 3215

Frequently Asked Questions on LCM of 3208 and 3215

1. What is the LCM of 3208 and 3215?

Answer: LCM of 3208 and 3215 is 10313720.

2. What are the Factors of 3208?

Answer: Factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208. There are 8 integers that are factors of 3208. The greatest factor of 3208 is 3208.

3. 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.

4. How to Find the LCM of 3208 and 3215?

Answer:

Least Common Multiple of 3208 and 3215 = 10313720

Step 1: Find the prime factorization of 3208

3208 = 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 3215

3215 = 5 x 643

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

LCM = 10313720 = 2 x 2 x 2 x 5 x 401 x 643

Step 4: Therefore, the least common multiple of 3208 and 3215 is 10313720.