Least Common Multiple of 5456 and 5464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5456 and 5464 the smallest integer that is 3726448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5456 and 5464 is 3726448.

LCM(5456,5464) = 3726448

LCM of 5456 and 5464

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

LCM of:
and

Least Common Multiple of 5456 and 5464

LCM of 5456 and 5464 is 3726448

Least common multiple can be found by multiplying the highest exponent prime factors of 5456 and 5464. First we will calculate the prime factors of 5456 and 5464.

Prime Factorization of 5456


2 5456
2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 5456 are 2, 11,31. Prime factorization of 5456 in exponential form is:

5456 = 24×111×311

Prime Factorization of 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 5456 and 5464.

LCM(5456,5464) = 24×111×311×6831
LCM(5456,5464) = 3726448

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1, 2, 4, 8, 683, 1366, 2732, 5464

Least Common Multiple of 5456 and 5464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5456 and 5464, than apply into the LCM equation.

GCF(5456,5464) = 8
LCM(5456,5464) = ( 5456 × 5464) / 8
LCM(5456,5464) = 29811584 / 8
LCM(5456,5464) = 3726448

Properties of LCM 5456 and 5464

(i) The LCM of 5464 and 5456 is associative

LCM of 5456 and 5464 = LCM of 5464 and 5456

Related Least Common Multiples of 5456

Related Least Common Multiples of 5464

Frequently Asked Questions on LCM of 5456 and 5464

1. What is the LCM of 5456 and 5464?

Answer: LCM of 5456 and 5464 is 3726448.

2. What are the Factors of 5456?

Answer: Factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456. There are 20 integers that are factors of 5456. The greatest factor of 5456 is 5456.

3. What are the Factors of 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

4. How to Find the LCM of 5456 and 5464?

Answer:

Least Common Multiple of 5456 and 5464 = 3726448

Step 1: Find the prime factorization of 5456

5456 = 2 x 2 x 2 x 2 x 11 x 31

Step 2: Find the prime factorization of 5464

5464 = 2 x 2 x 2 x 683

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

LCM = 3726448 = 2 x 2 x 2 x 2 x 11 x 31 x 683

Step 4: Therefore, the least common multiple of 5456 and 5464 is 3726448.