Least Common Multiple of 3204 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 3204 and 3208 the smallest integer that is 2569608 that is divisible by both numbers.

Least Common Multiple (LCM) of 3204 and 3208 is 2569608.

LCM(3204,3208) = 2569608

LCM of 3204 and 3208

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

LCM of:
and

Least Common Multiple of 3204 and 3208

LCM of 3204 and 3208 is 2569608

Least common multiple can be found by multiplying the highest exponent prime factors of 3204 and 3208. First we will calculate the prime factors of 3204 and 3208.

Prime Factorization of 3204


2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 3204 are 2, 3,89. Prime factorization of 3204 in exponential form is:

3204 = 22×32×891

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 3204 and 3208.

LCM(3204,3208) = 23×32×891×4011
LCM(3204,3208) = 2569608

Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204

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 3204 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 3204 and 3208, than apply into the LCM equation.

GCF(3204,3208) = 4
LCM(3204,3208) = ( 3204 × 3208) / 4
LCM(3204,3208) = 10278432 / 4
LCM(3204,3208) = 2569608

Properties of LCM 3204 and 3208

(i) The LCM of 3208 and 3204 is associative

LCM of 3204 and 3208 = LCM of 3208 and 3204

Related Least Common Multiples of 3204

Related Least Common Multiples of 3208

Frequently Asked Questions on LCM of 3204 and 3208

1. What is the LCM of 3204 and 3208?

Answer: LCM of 3204 and 3208 is 2569608.

2. What are the Factors of 3204?

Answer: Factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. There are 18 integers that are factors of 3204. The greatest factor of 3204 is 3204.

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 3204 and 3208?

Answer:

Least Common Multiple of 3204 and 3208 = 2569608

Step 1: Find the prime factorization of 3204

3204 = 2 x 2 x 3 x 3 x 89

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 = 2569608 = 2 x 2 x 2 x 3 x 3 x 89 x 401

Step 4: Therefore, the least common multiple of 3204 and 3208 is 2569608.