Least Common Multiple of 3203 and 3207

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 3207 the smallest integer that is 10272021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3203 and 3207 is 10272021.

LCM(3203,3207) = 10272021

LCM of 3203 and 3207

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

LCM of:
and

Least Common Multiple of 3203 and 3207

LCM of 3203 and 3207 is 10272021

Least common multiple can be found by multiplying the highest exponent prime factors of 3203 and 3207. First we will calculate the prime factors of 3203 and 3207.

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 3207


3 3207
1069 1069
1

Prime factors of 3207 are 3,1069. Prime factorization of 3207 in exponential form is:

3207 = 31×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 3203 and 3207.

LCM(3203,3207) = 31×10691×32031
LCM(3203,3207) = 10272021

Factors of 3203

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

1, 3203

Factors of 3207

List of positive integer factors of 3207 that divides 3207 without a remainder.

1, 3, 1069, 3207

Least Common Multiple of 3203 and 3207 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 3207, than apply into the LCM equation.

GCF(3203,3207) = 1
LCM(3203,3207) = ( 3203 × 3207) / 1
LCM(3203,3207) = 10272021 / 1
LCM(3203,3207) = 10272021

Properties of LCM 3203 and 3207

(i) The LCM of 3207 and 3203 is associative

LCM of 3203 and 3207 = LCM of 3207 and 3203

Related Least Common Multiples of 3203

Related Least Common Multiples of 3207

Frequently Asked Questions on LCM of 3203 and 3207

1. What is the LCM of 3203 and 3207?

Answer: LCM of 3203 and 3207 is 10272021.

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 3207?

Answer: Factors of 3207 are 1, 3, 1069, 3207. There are 4 integers that are factors of 3207. The greatest factor of 3207 is 3207.

4. How to Find the LCM of 3203 and 3207?

Answer:

Least Common Multiple of 3203 and 3207 = 10272021

Step 1: Find the prime factorization of 3203

3203 = 3203

Step 2: Find the prime factorization of 3207

3207 = 3 x 1069

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

LCM = 10272021 = 3 x 1069 x 3203

Step 4: Therefore, the least common multiple of 3203 and 3207 is 10272021.