Least Common Multiple of 4543 and 4549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4543 and 4549 the smallest integer that is 20666107 that is divisible by both numbers.

Least Common Multiple (LCM) of 4543 and 4549 is 20666107.

LCM(4543,4549) = 20666107

LCM of 4543 and 4549

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

LCM of:
and

Least Common Multiple of 4543 and 4549

LCM of 4543 and 4549 is 20666107

Least common multiple can be found by multiplying the highest exponent prime factors of 4543 and 4549. First we will calculate the prime factors of 4543 and 4549.

Prime Factorization of 4543


7 4543
11 649
59 59
1

Prime factors of 4543 are 7, 11,59. Prime factorization of 4543 in exponential form is:

4543 = 71×111×591

Prime Factorization of 4549


4549 4549
1

Prime factors of 4549 are 4549. Prime factorization of 4549 in exponential form is:

4549 = 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 4543 and 4549.

LCM(4543,4549) = 71×111×591×45491
LCM(4543,4549) = 20666107

Factors of 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1, 7, 11, 59, 77, 413, 649, 4543

Factors of 4549

List of positive integer factors of 4549 that divides 4549 without a remainder.

1, 4549

Least Common Multiple of 4543 and 4549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4543 and 4549, than apply into the LCM equation.

GCF(4543,4549) = 1
LCM(4543,4549) = ( 4543 × 4549) / 1
LCM(4543,4549) = 20666107 / 1
LCM(4543,4549) = 20666107

Properties of LCM 4543 and 4549

(i) The LCM of 4549 and 4543 is associative

LCM of 4543 and 4549 = LCM of 4549 and 4543

Related Least Common Multiples of 4543

Related Least Common Multiples of 4549

Frequently Asked Questions on LCM of 4543 and 4549

1. What is the LCM of 4543 and 4549?

Answer: LCM of 4543 and 4549 is 20666107.

2. What are the Factors of 4543?

Answer: Factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543. There are 8 integers that are factors of 4543. The greatest factor of 4543 is 4543.

3. What are the Factors of 4549?

Answer: Factors of 4549 are 1, 4549. There are 2 integers that are factors of 4549. The greatest factor of 4549 is 4549.

4. How to Find the LCM of 4543 and 4549?

Answer:

Least Common Multiple of 4543 and 4549 = 20666107

Step 1: Find the prime factorization of 4543

4543 = 7 x 11 x 59

Step 2: Find the prime factorization of 4549

4549 = 4549

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

LCM = 20666107 = 7 x 11 x 59 x 4549

Step 4: Therefore, the least common multiple of 4543 and 4549 is 20666107.