Least Common Multiple of 3459 and 3465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3459 and 3465 the smallest integer that is 3995145 that is divisible by both numbers.

Least Common Multiple (LCM) of 3459 and 3465 is 3995145.

LCM(3459,3465) = 3995145

LCM of 3459 and 3465

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

LCM of:
and

Least Common Multiple of 3459 and 3465

LCM of 3459 and 3465 is 3995145

Least common multiple can be found by multiplying the highest exponent prime factors of 3459 and 3465. First we will calculate the prime factors of 3459 and 3465.

Prime Factorization of 3459


3 3459
1153 1153
1

Prime factors of 3459 are 3,1153. Prime factorization of 3459 in exponential form is:

3459 = 31×11531

Prime Factorization of 3465


3 3465
3 1155
5 385
7 77
11 11
1

Prime factors of 3465 are 3, 5, 7,11. Prime factorization of 3465 in exponential form is:

3465 = 32×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3459 and 3465.

LCM(3459,3465) = 32×51×71×111×11531
LCM(3459,3465) = 3995145

Factors of 3459

List of positive integer factors of 3459 that divides 3459 without a remainder.

1, 3, 1153, 3459

Factors of 3465

List of positive integer factors of 3465 that divides 3465 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465

Least Common Multiple of 3459 and 3465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3459 and 3465, than apply into the LCM equation.

GCF(3459,3465) = 3
LCM(3459,3465) = ( 3459 × 3465) / 3
LCM(3459,3465) = 11985435 / 3
LCM(3459,3465) = 3995145

Properties of LCM 3459 and 3465

(i) The LCM of 3465 and 3459 is associative

LCM of 3459 and 3465 = LCM of 3465 and 3459

Related Least Common Multiples of 3459

Related Least Common Multiples of 3465

Frequently Asked Questions on LCM of 3459 and 3465

1. What is the LCM of 3459 and 3465?

Answer: LCM of 3459 and 3465 is 3995145.

2. What are the Factors of 3459?

Answer: Factors of 3459 are 1, 3, 1153, 3459. There are 4 integers that are factors of 3459. The greatest factor of 3459 is 3459.

3. What are the Factors of 3465?

Answer: Factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465. There are 24 integers that are factors of 3465. The greatest factor of 3465 is 3465.

4. How to Find the LCM of 3459 and 3465?

Answer:

Least Common Multiple of 3459 and 3465 = 3995145

Step 1: Find the prime factorization of 3459

3459 = 3 x 1153

Step 2: Find the prime factorization of 3465

3465 = 3 x 3 x 5 x 7 x 11

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

LCM = 3995145 = 3 x 3 x 5 x 7 x 11 x 1153

Step 4: Therefore, the least common multiple of 3459 and 3465 is 3995145.