Least Common Multiple of 3203 and 3211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3203 and 3211 the smallest integer that is 10284833 that is divisible by both numbers.

Least Common Multiple (LCM) of 3203 and 3211 is 10284833.

LCM(3203,3211) = 10284833

LCM of 3203 and 3211

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

LCM of:
and

Least Common Multiple of 3203 and 3211

LCM of 3203 and 3211 is 10284833

Least common multiple can be found by multiplying the highest exponent prime factors of 3203 and 3211. First we will calculate the prime factors of 3203 and 3211.

Prime Factorization of 3203


3203 3203
1

Prime factors of 3203 are 3203. Prime factorization of 3203 in exponential form is:

3203 = 32031

Prime Factorization of 3211


13 3211
13 247
19 19
1

Prime factors of 3211 are 13,19. Prime factorization of 3211 in exponential form is:

3211 = 132×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3203 and 3211.

LCM(3203,3211) = 132×191×32031
LCM(3203,3211) = 10284833

Factors of 3203

List of positive integer factors of 3203 that divides 3203 without a remainder.

1, 3203

Factors of 3211

List of positive integer factors of 3211 that divides 3211 without a remainder.

1, 13, 19, 169, 247, 3211

Least Common Multiple of 3203 and 3211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3203 and 3211, than apply into the LCM equation.

GCF(3203,3211) = 1
LCM(3203,3211) = ( 3203 × 3211) / 1
LCM(3203,3211) = 10284833 / 1
LCM(3203,3211) = 10284833

Properties of LCM 3203 and 3211

(i) The LCM of 3211 and 3203 is associative

LCM of 3203 and 3211 = LCM of 3211 and 3203

Related Least Common Multiples of 3203

Related Least Common Multiples of 3211

Frequently Asked Questions on LCM of 3203 and 3211

1. What is the LCM of 3203 and 3211?

Answer: LCM of 3203 and 3211 is 10284833.

2. What are the Factors of 3203?

Answer: Factors of 3203 are 1, 3203. There are 2 integers that are factors of 3203. The greatest factor of 3203 is 3203.

3. What are the Factors of 3211?

Answer: Factors of 3211 are 1, 13, 19, 169, 247, 3211. There are 6 integers that are factors of 3211. The greatest factor of 3211 is 3211.

4. How to Find the LCM of 3203 and 3211?

Answer:

Least Common Multiple of 3203 and 3211 = 10284833

Step 1: Find the prime factorization of 3203

3203 = 3203

Step 2: Find the prime factorization of 3211

3211 = 13 x 13 x 19

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

LCM = 10284833 = 13 x 13 x 19 x 3203

Step 4: Therefore, the least common multiple of 3203 and 3211 is 10284833.