Least Common Multiple of 3463 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 3463 and 3465 the smallest integer that is 11999295 that is divisible by both numbers.

Least Common Multiple (LCM) of 3463 and 3465 is 11999295.

LCM(3463,3465) = 11999295

LCM of 3463 and 3465

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

LCM of:
and

Least Common Multiple of 3463 and 3465

LCM of 3463 and 3465 is 11999295

Least common multiple can be found by multiplying the highest exponent prime factors of 3463 and 3465. First we will calculate the prime factors of 3463 and 3465.

Prime Factorization of 3463


3463 3463
1

Prime factors of 3463 are 3463. Prime factorization of 3463 in exponential form is:

3463 = 34631

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 3463 and 3465.

LCM(3463,3465) = 32×51×71×111×34631
LCM(3463,3465) = 11999295

Factors of 3463

List of positive integer factors of 3463 that divides 3463 without a remainder.

1, 3463

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 3463 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 3463 and 3465, than apply into the LCM equation.

GCF(3463,3465) = 1
LCM(3463,3465) = ( 3463 × 3465) / 1
LCM(3463,3465) = 11999295 / 1
LCM(3463,3465) = 11999295

Properties of LCM 3463 and 3465

(i) The LCM of 3465 and 3463 is associative

LCM of 3463 and 3465 = LCM of 3465 and 3463

Related Least Common Multiples of 3463

Related Least Common Multiples of 3465

Frequently Asked Questions on LCM of 3463 and 3465

1. What is the LCM of 3463 and 3465?

Answer: LCM of 3463 and 3465 is 11999295.

2. What are the Factors of 3463?

Answer: Factors of 3463 are 1, 3463. There are 2 integers that are factors of 3463. The greatest factor of 3463 is 3463.

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 3463 and 3465?

Answer:

Least Common Multiple of 3463 and 3465 = 11999295

Step 1: Find the prime factorization of 3463

3463 = 3463

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 = 11999295 = 3 x 3 x 5 x 7 x 11 x 3463

Step 4: Therefore, the least common multiple of 3463 and 3465 is 11999295.