Least Common Multiple of 3279 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 3279 and 3285 the smallest integer that is 3590505 that is divisible by both numbers.

Least Common Multiple (LCM) of 3279 and 3285 is 3590505.

LCM(3279,3285) = 3590505

LCM of 3279 and 3285

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

LCM of:
and

Least Common Multiple of 3279 and 3285

LCM of 3279 and 3285 is 3590505

Least common multiple can be found by multiplying the highest exponent prime factors of 3279 and 3285. First we will calculate the prime factors of 3279 and 3285.

Prime Factorization of 3279


3 3279
1093 1093
1

Prime factors of 3279 are 3,1093. Prime factorization of 3279 in exponential form is:

3279 = 31×10931

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 3279 and 3285.

LCM(3279,3285) = 32×51×731×10931
LCM(3279,3285) = 3590505

Factors of 3279

List of positive integer factors of 3279 that divides 3279 without a remainder.

1, 3, 1093, 3279

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 3279 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 3279 and 3285, than apply into the LCM equation.

GCF(3279,3285) = 3
LCM(3279,3285) = ( 3279 × 3285) / 3
LCM(3279,3285) = 10771515 / 3
LCM(3279,3285) = 3590505

Properties of LCM 3279 and 3285

(i) The LCM of 3285 and 3279 is associative

LCM of 3279 and 3285 = LCM of 3285 and 3279

Related Least Common Multiples of 3279

Related Least Common Multiples of 3285

Frequently Asked Questions on LCM of 3279 and 3285

1. What is the LCM of 3279 and 3285?

Answer: LCM of 3279 and 3285 is 3590505.

2. What are the Factors of 3279?

Answer: Factors of 3279 are 1, 3, 1093, 3279. There are 4 integers that are factors of 3279. The greatest factor of 3279 is 3279.

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 3279 and 3285?

Answer:

Least Common Multiple of 3279 and 3285 = 3590505

Step 1: Find the prime factorization of 3279

3279 = 3 x 1093

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 = 3590505 = 3 x 3 x 5 x 73 x 1093

Step 4: Therefore, the least common multiple of 3279 and 3285 is 3590505.