Least Common Multiple of 3202 and 3206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3202 and 3206 the smallest integer that is 5132806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3202 and 3206 is 5132806.

LCM(3202,3206) = 5132806

LCM of 3202 and 3206

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

LCM of:
and

Least Common Multiple of 3202 and 3206

LCM of 3202 and 3206 is 5132806

Least common multiple can be found by multiplying the highest exponent prime factors of 3202 and 3206. First we will calculate the prime factors of 3202 and 3206.

Prime Factorization of 3202


2 3202
1601 1601
1

Prime factors of 3202 are 2,1601. Prime factorization of 3202 in exponential form is:

3202 = 21×16011

Prime Factorization of 3206


2 3206
7 1603
229 229
1

Prime factors of 3206 are 2, 7,229. Prime factorization of 3206 in exponential form is:

3206 = 21×71×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 3202 and 3206.

LCM(3202,3206) = 21×71×2291×16011
LCM(3202,3206) = 5132806

Factors of 3202

List of positive integer factors of 3202 that divides 3202 without a remainder.

1, 2, 1601, 3202

Factors of 3206

List of positive integer factors of 3206 that divides 3206 without a remainder.

1, 2, 7, 14, 229, 458, 1603, 3206

Least Common Multiple of 3202 and 3206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3202 and 3206, than apply into the LCM equation.

GCF(3202,3206) = 2
LCM(3202,3206) = ( 3202 × 3206) / 2
LCM(3202,3206) = 10265612 / 2
LCM(3202,3206) = 5132806

Properties of LCM 3202 and 3206

(i) The LCM of 3206 and 3202 is associative

LCM of 3202 and 3206 = LCM of 3206 and 3202

Related Least Common Multiples of 3202

Related Least Common Multiples of 3206

Frequently Asked Questions on LCM of 3202 and 3206

1. What is the LCM of 3202 and 3206?

Answer: LCM of 3202 and 3206 is 5132806.

2. What are the Factors of 3202?

Answer: Factors of 3202 are 1, 2, 1601, 3202. There are 4 integers that are factors of 3202. The greatest factor of 3202 is 3202.

3. What are the Factors of 3206?

Answer: Factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206. There are 8 integers that are factors of 3206. The greatest factor of 3206 is 3206.

4. How to Find the LCM of 3202 and 3206?

Answer:

Least Common Multiple of 3202 and 3206 = 5132806

Step 1: Find the prime factorization of 3202

3202 = 2 x 1601

Step 2: Find the prime factorization of 3206

3206 = 2 x 7 x 229

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

LCM = 5132806 = 2 x 7 x 229 x 1601

Step 4: Therefore, the least common multiple of 3202 and 3206 is 5132806.