Least Common Multiple of 3288 and 3290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3288 and 3290 the smallest integer that is 5408760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3288 and 3290 is 5408760.

LCM(3288,3290) = 5408760

LCM of 3288 and 3290

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

LCM of:
and

Least Common Multiple of 3288 and 3290

LCM of 3288 and 3290 is 5408760

Least common multiple can be found by multiplying the highest exponent prime factors of 3288 and 3290. First we will calculate the prime factors of 3288 and 3290.

Prime Factorization of 3288


2 3288
2 1644
2 822
3 411
137 137
1

Prime factors of 3288 are 2, 3,137. Prime factorization of 3288 in exponential form is:

3288 = 23×31×1371

Prime Factorization of 3290


2 3290
5 1645
7 329
47 47
1

Prime factors of 3290 are 2, 5, 7,47. Prime factorization of 3290 in exponential form is:

3290 = 21×51×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3288 and 3290.

LCM(3288,3290) = 23×31×51×71×471×1371
LCM(3288,3290) = 5408760

Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290

Least Common Multiple of 3288 and 3290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3288 and 3290, than apply into the LCM equation.

GCF(3288,3290) = 2
LCM(3288,3290) = ( 3288 × 3290) / 2
LCM(3288,3290) = 10817520 / 2
LCM(3288,3290) = 5408760

Properties of LCM 3288 and 3290

(i) The LCM of 3290 and 3288 is associative

LCM of 3288 and 3290 = LCM of 3290 and 3288

Related Least Common Multiples of 3288

Related Least Common Multiples of 3290

Frequently Asked Questions on LCM of 3288 and 3290

1. What is the LCM of 3288 and 3290?

Answer: LCM of 3288 and 3290 is 5408760.

2. What are the Factors of 3288?

Answer: Factors of 3288 are 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288. There are 16 integers that are factors of 3288. The greatest factor of 3288 is 3288.

3. What are the Factors of 3290?

Answer: Factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290. There are 16 integers that are factors of 3290. The greatest factor of 3290 is 3290.

4. How to Find the LCM of 3288 and 3290?

Answer:

Least Common Multiple of 3288 and 3290 = 5408760

Step 1: Find the prime factorization of 3288

3288 = 2 x 2 x 2 x 3 x 137

Step 2: Find the prime factorization of 3290

3290 = 2 x 5 x 7 x 47

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

LCM = 5408760 = 2 x 2 x 2 x 3 x 5 x 7 x 47 x 137

Step 4: Therefore, the least common multiple of 3288 and 3290 is 5408760.