Least Common Multiple of 3202 and 3209

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 3209 the smallest integer that is 10275218 that is divisible by both numbers.

Least Common Multiple (LCM) of 3202 and 3209 is 10275218.

LCM(3202,3209) = 10275218

LCM of 3202 and 3209

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

LCM of:
and

Least Common Multiple of 3202 and 3209

LCM of 3202 and 3209 is 10275218

Least common multiple can be found by multiplying the highest exponent prime factors of 3202 and 3209. First we will calculate the prime factors of 3202 and 3209.

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 3209


3209 3209
1

Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:

3209 = 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 3202 and 3209.

LCM(3202,3209) = 21×16011×32091
LCM(3202,3209) = 10275218

Factors of 3202

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

1, 2, 1601, 3202

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1, 3209

Least Common Multiple of 3202 and 3209 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 3209, than apply into the LCM equation.

GCF(3202,3209) = 1
LCM(3202,3209) = ( 3202 × 3209) / 1
LCM(3202,3209) = 10275218 / 1
LCM(3202,3209) = 10275218

Properties of LCM 3202 and 3209

(i) The LCM of 3209 and 3202 is associative

LCM of 3202 and 3209 = LCM of 3209 and 3202

Related Least Common Multiples of 3202

Related Least Common Multiples of 3209

Frequently Asked Questions on LCM of 3202 and 3209

1. What is the LCM of 3202 and 3209?

Answer: LCM of 3202 and 3209 is 10275218.

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 3209?

Answer: Factors of 3209 are 1, 3209. There are 2 integers that are factors of 3209. The greatest factor of 3209 is 3209.

4. How to Find the LCM of 3202 and 3209?

Answer:

Least Common Multiple of 3202 and 3209 = 10275218

Step 1: Find the prime factorization of 3202

3202 = 2 x 1601

Step 2: Find the prime factorization of 3209

3209 = 3209

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

LCM = 10275218 = 2 x 1601 x 3209

Step 4: Therefore, the least common multiple of 3202 and 3209 is 10275218.