Least Common Multiple of 3285 and 3292

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 3292 the smallest integer that is 10814220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3285 and 3292 is 10814220.

LCM(3285,3292) = 10814220

LCM of 3285 and 3292

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

LCM of:
and

Least Common Multiple of 3285 and 3292

LCM of 3285 and 3292 is 10814220

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3292. First we will calculate the prime factors of 3285 and 3292.

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 3292


2 3292
2 1646
823 823
1

Prime factors of 3292 are 2,823. Prime factorization of 3292 in exponential form is:

3292 = 22×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3292.

LCM(3285,3292) = 22×32×51×731×8231
LCM(3285,3292) = 10814220

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 3292

List of positive integer factors of 3292 that divides 3292 without a remainder.

1, 2, 4, 823, 1646, 3292

Least Common Multiple of 3285 and 3292 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 3292, than apply into the LCM equation.

GCF(3285,3292) = 1
LCM(3285,3292) = ( 3285 × 3292) / 1
LCM(3285,3292) = 10814220 / 1
LCM(3285,3292) = 10814220

Properties of LCM 3285 and 3292

(i) The LCM of 3292 and 3285 is associative

LCM of 3285 and 3292 = LCM of 3292 and 3285

Related Least Common Multiples of 3285

Related Least Common Multiples of 3292

Frequently Asked Questions on LCM of 3285 and 3292

1. What is the LCM of 3285 and 3292?

Answer: LCM of 3285 and 3292 is 10814220.

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 3292?

Answer: Factors of 3292 are 1, 2, 4, 823, 1646, 3292. There are 6 integers that are factors of 3292. The greatest factor of 3292 is 3292.

4. How to Find the LCM of 3285 and 3292?

Answer:

Least Common Multiple of 3285 and 3292 = 10814220

Step 1: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 3292

3292 = 2 x 2 x 823

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

LCM = 10814220 = 2 x 2 x 3 x 3 x 5 x 73 x 823

Step 4: Therefore, the least common multiple of 3285 and 3292 is 10814220.