Least Common Multiple of 5463 and 5468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5463 and 5468 the smallest integer that is 29871684 that is divisible by both numbers.

Least Common Multiple (LCM) of 5463 and 5468 is 29871684.

LCM(5463,5468) = 29871684

LCM of 5463 and 5468

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

LCM of:
and

Least Common Multiple of 5463 and 5468

LCM of 5463 and 5468 is 29871684

Least common multiple can be found by multiplying the highest exponent prime factors of 5463 and 5468. First we will calculate the prime factors of 5463 and 5468.

Prime Factorization of 5463


3 5463
3 1821
607 607
1

Prime factors of 5463 are 3,607. Prime factorization of 5463 in exponential form is:

5463 = 32×6071

Prime Factorization of 5468


2 5468
2 2734
1367 1367
1

Prime factors of 5468 are 2,1367. Prime factorization of 5468 in exponential form is:

5468 = 22×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 5463 and 5468.

LCM(5463,5468) = 22×32×6071×13671
LCM(5463,5468) = 29871684

Factors of 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1, 3, 9, 607, 1821, 5463

Factors of 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1, 2, 4, 1367, 2734, 5468

Least Common Multiple of 5463 and 5468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5463 and 5468, than apply into the LCM equation.

GCF(5463,5468) = 1
LCM(5463,5468) = ( 5463 × 5468) / 1
LCM(5463,5468) = 29871684 / 1
LCM(5463,5468) = 29871684

Properties of LCM 5463 and 5468

(i) The LCM of 5468 and 5463 is associative

LCM of 5463 and 5468 = LCM of 5468 and 5463

Related Least Common Multiples of 5463

Related Least Common Multiples of 5468

Frequently Asked Questions on LCM of 5463 and 5468

1. What is the LCM of 5463 and 5468?

Answer: LCM of 5463 and 5468 is 29871684.

2. What are the Factors of 5463?

Answer: Factors of 5463 are 1, 3, 9, 607, 1821, 5463. There are 6 integers that are factors of 5463. The greatest factor of 5463 is 5463.

3. What are the Factors of 5468?

Answer: Factors of 5468 are 1, 2, 4, 1367, 2734, 5468. There are 6 integers that are factors of 5468. The greatest factor of 5468 is 5468.

4. How to Find the LCM of 5463 and 5468?

Answer:

Least Common Multiple of 5463 and 5468 = 29871684

Step 1: Find the prime factorization of 5463

5463 = 3 x 3 x 607

Step 2: Find the prime factorization of 5468

5468 = 2 x 2 x 1367

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

LCM = 29871684 = 2 x 2 x 3 x 3 x 607 x 1367

Step 4: Therefore, the least common multiple of 5463 and 5468 is 29871684.