Least Common Multiple of 3285 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 3285 and 3290 the smallest integer that is 2161530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3285 and 3290 is 2161530.

LCM(3285,3290) = 2161530

LCM of 3285 and 3290

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

LCM of:
and

Least Common Multiple of 3285 and 3290

LCM of 3285 and 3290 is 2161530

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3290. First we will calculate the prime factors of 3285 and 3290.

Prime Factorization of 3285


3 3285
3 1095
5 365
73 73
1

Prime factors of 3285 are 3, 5,73. Prime factorization of 3285 in exponential form is:

3285 = 32×51×731

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 3285 and 3290.

LCM(3285,3290) = 21×32×51×71×471×731
LCM(3285,3290) = 2161530

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285

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 3285 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 3285 and 3290, than apply into the LCM equation.

GCF(3285,3290) = 5
LCM(3285,3290) = ( 3285 × 3290) / 5
LCM(3285,3290) = 10807650 / 5
LCM(3285,3290) = 2161530

Properties of LCM 3285 and 3290

(i) The LCM of 3290 and 3285 is associative

LCM of 3285 and 3290 = LCM of 3290 and 3285

Related Least Common Multiples of 3285

Related Least Common Multiples of 3290

Frequently Asked Questions on LCM of 3285 and 3290

1. What is the LCM of 3285 and 3290?

Answer: LCM of 3285 and 3290 is 2161530.

2. What are the Factors of 3285?

Answer: Factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285. There are 12 integers that are factors of 3285. The greatest factor of 3285 is 3285.

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 3285 and 3290?

Answer:

Least Common Multiple of 3285 and 3290 = 2161530

Step 1: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

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 = 2161530 = 2 x 3 x 3 x 5 x 7 x 47 x 73

Step 4: Therefore, the least common multiple of 3285 and 3290 is 2161530.