Least Common Multiple of 3451 and 3456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3451 and 3456 the smallest integer that is 11926656 that is divisible by both numbers.

Least Common Multiple (LCM) of 3451 and 3456 is 11926656.

LCM(3451,3456) = 11926656

LCM of 3451 and 3456

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

LCM of:
and

Least Common Multiple of 3451 and 3456

LCM of 3451 and 3456 is 11926656

Least common multiple can be found by multiplying the highest exponent prime factors of 3451 and 3456. First we will calculate the prime factors of 3451 and 3456.

Prime Factorization of 3451


7 3451
17 493
29 29
1

Prime factors of 3451 are 7, 17,29. Prime factorization of 3451 in exponential form is:

3451 = 71×171×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3451 and 3456.

LCM(3451,3456) = 27×33×71×171×291
LCM(3451,3456) = 11926656

Factors of 3451

List of positive integer factors of 3451 that divides 3451 without a remainder.

1, 7, 17, 29, 119, 203, 493, 3451

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

Least Common Multiple of 3451 and 3456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3451 and 3456, than apply into the LCM equation.

GCF(3451,3456) = 1
LCM(3451,3456) = ( 3451 × 3456) / 1
LCM(3451,3456) = 11926656 / 1
LCM(3451,3456) = 11926656

Properties of LCM 3451 and 3456

(i) The LCM of 3456 and 3451 is associative

LCM of 3451 and 3456 = LCM of 3456 and 3451

Related Least Common Multiples of 3451

Related Least Common Multiples of 3456

Frequently Asked Questions on LCM of 3451 and 3456

1. What is the LCM of 3451 and 3456?

Answer: LCM of 3451 and 3456 is 11926656.

2. What are the Factors of 3451?

Answer: Factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451. There are 8 integers that are factors of 3451. The greatest factor of 3451 is 3451.

3. 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.

4. How to Find the LCM of 3451 and 3456?

Answer:

Least Common Multiple of 3451 and 3456 = 11926656

Step 1: Find the prime factorization of 3451

3451 = 7 x 17 x 29

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11926656 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 29

Step 4: Therefore, the least common multiple of 3451 and 3456 is 11926656.