Least Common Multiple of 3200 and 3208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3200 and 3208 the smallest integer that is 1283200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3200 and 3208 is 1283200.

LCM(3200,3208) = 1283200

LCM of 3200 and 3208

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

LCM of:
and

Least Common Multiple of 3200 and 3208

LCM of 3200 and 3208 is 1283200

Least common multiple can be found by multiplying the highest exponent prime factors of 3200 and 3208. First we will calculate the prime factors of 3200 and 3208.

Prime Factorization of 3200


2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 3200 are 2,5. Prime factorization of 3200 in exponential form is:

3200 = 27×52

Prime Factorization of 3208


2 3208
2 1604
2 802
401 401
1

Prime factors of 3208 are 2,401. Prime factorization of 3208 in exponential form is:

3208 = 23×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 3200 and 3208.

LCM(3200,3208) = 27×52×4011
LCM(3200,3208) = 1283200

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1, 2, 4, 8, 401, 802, 1604, 3208

Least Common Multiple of 3200 and 3208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3200 and 3208, than apply into the LCM equation.

GCF(3200,3208) = 8
LCM(3200,3208) = ( 3200 × 3208) / 8
LCM(3200,3208) = 10265600 / 8
LCM(3200,3208) = 1283200

Properties of LCM 3200 and 3208

(i) The LCM of 3208 and 3200 is associative

LCM of 3200 and 3208 = LCM of 3208 and 3200

Related Least Common Multiples of 3200

Related Least Common Multiples of 3208

Frequently Asked Questions on LCM of 3200 and 3208

1. What is the LCM of 3200 and 3208?

Answer: LCM of 3200 and 3208 is 1283200.

2. What are the Factors of 3200?

Answer: Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. There are 24 integers that are factors of 3200. The greatest factor of 3200 is 3200.

3. What are the Factors of 3208?

Answer: Factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208. There are 8 integers that are factors of 3208. The greatest factor of 3208 is 3208.

4. How to Find the LCM of 3200 and 3208?

Answer:

Least Common Multiple of 3200 and 3208 = 1283200

Step 1: Find the prime factorization of 3200

3200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 3208

3208 = 2 x 2 x 2 x 401

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

LCM = 1283200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 401

Step 4: Therefore, the least common multiple of 3200 and 3208 is 1283200.