Least Common Multiple of 3456 and 3461

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 3461 the smallest integer that is 11961216 that is divisible by both numbers.

Least Common Multiple (LCM) of 3456 and 3461 is 11961216.

LCM(3456,3461) = 11961216

LCM of 3456 and 3461

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

LCM of:
and

Least Common Multiple of 3456 and 3461

LCM of 3456 and 3461 is 11961216

Least common multiple can be found by multiplying the highest exponent prime factors of 3456 and 3461. First we will calculate the prime factors of 3456 and 3461.

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 3461


3461 3461
1

Prime factors of 3461 are 3461. Prime factorization of 3461 in exponential form is:

3461 = 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 3456 and 3461.

LCM(3456,3461) = 27×33×34611
LCM(3456,3461) = 11961216

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 3461

List of positive integer factors of 3461 that divides 3461 without a remainder.

1, 3461

Least Common Multiple of 3456 and 3461 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 3461, than apply into the LCM equation.

GCF(3456,3461) = 1
LCM(3456,3461) = ( 3456 × 3461) / 1
LCM(3456,3461) = 11961216 / 1
LCM(3456,3461) = 11961216

Properties of LCM 3456 and 3461

(i) The LCM of 3461 and 3456 is associative

LCM of 3456 and 3461 = LCM of 3461 and 3456

Related Least Common Multiples of 3456

Related Least Common Multiples of 3461

Frequently Asked Questions on LCM of 3456 and 3461

1. What is the LCM of 3456 and 3461?

Answer: LCM of 3456 and 3461 is 11961216.

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 3461?

Answer: Factors of 3461 are 1, 3461. There are 2 integers that are factors of 3461. The greatest factor of 3461 is 3461.

4. How to Find the LCM of 3456 and 3461?

Answer:

Least Common Multiple of 3456 and 3461 = 11961216

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 3461

3461 = 3461

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

LCM = 11961216 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3461

Step 4: Therefore, the least common multiple of 3456 and 3461 is 11961216.