Least Common Multiple of 3203 and 3210

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 3210 the smallest integer that is 10281630 that is divisible by both numbers.

Least Common Multiple (LCM) of 3203 and 3210 is 10281630.

LCM(3203,3210) = 10281630

LCM of 3203 and 3210

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

LCM of:
and

Least Common Multiple of 3203 and 3210

LCM of 3203 and 3210 is 10281630

Least common multiple can be found by multiplying the highest exponent prime factors of 3203 and 3210. First we will calculate the prime factors of 3203 and 3210.

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 3210


2 3210
3 1605
5 535
107 107
1

Prime factors of 3210 are 2, 3, 5,107. Prime factorization of 3210 in exponential form is:

3210 = 21×31×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3203 and 3210.

LCM(3203,3210) = 21×31×51×1071×32031
LCM(3203,3210) = 10281630

Factors of 3203

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

1, 3203

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210

Least Common Multiple of 3203 and 3210 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 3210, than apply into the LCM equation.

GCF(3203,3210) = 1
LCM(3203,3210) = ( 3203 × 3210) / 1
LCM(3203,3210) = 10281630 / 1
LCM(3203,3210) = 10281630

Properties of LCM 3203 and 3210

(i) The LCM of 3210 and 3203 is associative

LCM of 3203 and 3210 = LCM of 3210 and 3203

Related Least Common Multiples of 3203

Related Least Common Multiples of 3210

Frequently Asked Questions on LCM of 3203 and 3210

1. What is the LCM of 3203 and 3210?

Answer: LCM of 3203 and 3210 is 10281630.

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 3210?

Answer: Factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210. There are 16 integers that are factors of 3210. The greatest factor of 3210 is 3210.

4. How to Find the LCM of 3203 and 3210?

Answer:

Least Common Multiple of 3203 and 3210 = 10281630

Step 1: Find the prime factorization of 3203

3203 = 3203

Step 2: Find the prime factorization of 3210

3210 = 2 x 3 x 5 x 107

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

LCM = 10281630 = 2 x 3 x 5 x 107 x 3203

Step 4: Therefore, the least common multiple of 3203 and 3210 is 10281630.