Least Common Multiple of 4538 and 4543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4538 and 4543 the smallest integer that is 20616134 that is divisible by both numbers.

Least Common Multiple (LCM) of 4538 and 4543 is 20616134.

LCM(4538,4543) = 20616134

LCM of 4538 and 4543

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

LCM of:
and

Least Common Multiple of 4538 and 4543

LCM of 4538 and 4543 is 20616134

Least common multiple can be found by multiplying the highest exponent prime factors of 4538 and 4543. First we will calculate the prime factors of 4538 and 4543.

Prime Factorization of 4538


2 4538
2269 2269
1

Prime factors of 4538 are 2,2269. Prime factorization of 4538 in exponential form is:

4538 = 21×22691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4538 and 4543.

LCM(4538,4543) = 21×71×111×591×22691
LCM(4538,4543) = 20616134

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1, 2, 2269, 4538

Factors of 4543

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

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

Least Common Multiple of 4538 and 4543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4538 and 4543, than apply into the LCM equation.

GCF(4538,4543) = 1
LCM(4538,4543) = ( 4538 × 4543) / 1
LCM(4538,4543) = 20616134 / 1
LCM(4538,4543) = 20616134

Properties of LCM 4538 and 4543

(i) The LCM of 4543 and 4538 is associative

LCM of 4538 and 4543 = LCM of 4543 and 4538

Related Least Common Multiples of 4538

Related Least Common Multiples of 4543

Frequently Asked Questions on LCM of 4538 and 4543

1. What is the LCM of 4538 and 4543?

Answer: LCM of 4538 and 4543 is 20616134.

2. What are the Factors of 4538?

Answer: Factors of 4538 are 1, 2, 2269, 4538. There are 4 integers that are factors of 4538. The greatest factor of 4538 is 4538.

3. 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.

4. How to Find the LCM of 4538 and 4543?

Answer:

Least Common Multiple of 4538 and 4543 = 20616134

Step 1: Find the prime factorization of 4538

4538 = 2 x 2269

Step 2: Find the prime factorization of 4543

4543 = 7 x 11 x 59

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

LCM = 20616134 = 2 x 7 x 11 x 59 x 2269

Step 4: Therefore, the least common multiple of 4538 and 4543 is 20616134.