Least Common Multiple of 3280 and 3285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3280 and 3285 the smallest integer that is 2154960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3280 and 3285 is 2154960.

LCM(3280,3285) = 2154960

LCM of 3280 and 3285

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

LCM of:
and

Least Common Multiple of 3280 and 3285

LCM of 3280 and 3285 is 2154960

Least common multiple can be found by multiplying the highest exponent prime factors of 3280 and 3285. First we will calculate the prime factors of 3280 and 3285.

Prime Factorization of 3280


2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 3280 are 2, 5,41. Prime factorization of 3280 in exponential form is:

3280 = 24×51×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3280 and 3285.

LCM(3280,3285) = 24×32×51×411×731
LCM(3280,3285) = 2154960

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280

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

Least Common Multiple of 3280 and 3285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3280 and 3285, than apply into the LCM equation.

GCF(3280,3285) = 5
LCM(3280,3285) = ( 3280 × 3285) / 5
LCM(3280,3285) = 10774800 / 5
LCM(3280,3285) = 2154960

Properties of LCM 3280 and 3285

(i) The LCM of 3285 and 3280 is associative

LCM of 3280 and 3285 = LCM of 3285 and 3280

Related Least Common Multiples of 3280

Related Least Common Multiples of 3285

Frequently Asked Questions on LCM of 3280 and 3285

1. What is the LCM of 3280 and 3285?

Answer: LCM of 3280 and 3285 is 2154960.

2. What are the Factors of 3280?

Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.

3. 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.

4. How to Find the LCM of 3280 and 3285?

Answer:

Least Common Multiple of 3280 and 3285 = 2154960

Step 1: Find the prime factorization of 3280

3280 = 2 x 2 x 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

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

LCM = 2154960 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 41 x 73

Step 4: Therefore, the least common multiple of 3280 and 3285 is 2154960.