Least Common Multiple of 4536 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 4536 and 4543 the smallest integer that is 2943864 that is divisible by both numbers.

Least Common Multiple (LCM) of 4536 and 4543 is 2943864.

LCM(4536,4543) = 2943864

LCM of 4536 and 4543

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

LCM of:
and

Least Common Multiple of 4536 and 4543

LCM of 4536 and 4543 is 2943864

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4543. First we will calculate the prime factors of 4536 and 4543.

Prime Factorization of 4536


2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 4536 are 2, 3,7. Prime factorization of 4536 in exponential form is:

4536 = 23×34×71

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 4536 and 4543.

LCM(4536,4543) = 23×34×71×111×591
LCM(4536,4543) = 2943864

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536

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 4536 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 4536 and 4543, than apply into the LCM equation.

GCF(4536,4543) = 7
LCM(4536,4543) = ( 4536 × 4543) / 7
LCM(4536,4543) = 20607048 / 7
LCM(4536,4543) = 2943864

Properties of LCM 4536 and 4543

(i) The LCM of 4543 and 4536 is associative

LCM of 4536 and 4543 = LCM of 4543 and 4536

Related Least Common Multiples of 4536

Related Least Common Multiples of 4543

Frequently Asked Questions on LCM of 4536 and 4543

1. What is the LCM of 4536 and 4543?

Answer: LCM of 4536 and 4543 is 2943864.

2. What are the Factors of 4536?

Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.

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 4536 and 4543?

Answer:

Least Common Multiple of 4536 and 4543 = 2943864

Step 1: Find the prime factorization of 4536

4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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 = 2943864 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 59

Step 4: Therefore, the least common multiple of 4536 and 4543 is 2943864.