Least Common Multiple of 3456 and 3463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3456 and 3463 the smallest integer that is 11968128 that is divisible by both numbers.

Least Common Multiple (LCM) of 3456 and 3463 is 11968128.

LCM(3456,3463) = 11968128

LCM of 3456 and 3463

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

LCM of:
and

Least Common Multiple of 3456 and 3463

LCM of 3456 and 3463 is 11968128

Least common multiple can be found by multiplying the highest exponent prime factors of 3456 and 3463. First we will calculate the prime factors of 3456 and 3463.

Prime Factorization of 3456


2 3456
2 1728
2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 3456 are 2,3. Prime factorization of 3456 in exponential form is:

3456 = 27×33

Prime Factorization of 3463


3463 3463
1

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

3463 = 34631

Now multiplying the highest exponent prime factors to calculate the LCM of 3456 and 3463.

LCM(3456,3463) = 27×33×34631
LCM(3456,3463) = 11968128

Factors of 3456

List of positive integer factors of 3456 that divides 3456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456

Factors of 3463

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

1, 3463

Least Common Multiple of 3456 and 3463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3456 and 3463, than apply into the LCM equation.

GCF(3456,3463) = 1
LCM(3456,3463) = ( 3456 × 3463) / 1
LCM(3456,3463) = 11968128 / 1
LCM(3456,3463) = 11968128

Properties of LCM 3456 and 3463

(i) The LCM of 3463 and 3456 is associative

LCM of 3456 and 3463 = LCM of 3463 and 3456

Related Least Common Multiples of 3456

Related Least Common Multiples of 3463

Frequently Asked Questions on LCM of 3456 and 3463

1. What is the LCM of 3456 and 3463?

Answer: LCM of 3456 and 3463 is 11968128.

2. What are the Factors of 3456?

Answer: Factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456. There are 32 integers that are factors of 3456. The greatest factor of 3456 is 3456.

3. 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.

4. How to Find the LCM of 3456 and 3463?

Answer:

Least Common Multiple of 3456 and 3463 = 11968128

Step 1: Find the prime factorization of 3456

3456 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 3463

3463 = 3463

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

LCM = 11968128 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3463

Step 4: Therefore, the least common multiple of 3456 and 3463 is 11968128.