Least Common Multiple of 4533 and 4540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4533 and 4540 the smallest integer that is 20579820 that is divisible by both numbers.

Least Common Multiple (LCM) of 4533 and 4540 is 20579820.

LCM(4533,4540) = 20579820

LCM of 4533 and 4540

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

LCM of:
and

Least Common Multiple of 4533 and 4540

LCM of 4533 and 4540 is 20579820

Least common multiple can be found by multiplying the highest exponent prime factors of 4533 and 4540. First we will calculate the prime factors of 4533 and 4540.

Prime Factorization of 4533


3 4533
1511 1511
1

Prime factors of 4533 are 3,1511. Prime factorization of 4533 in exponential form is:

4533 = 31×15111

Prime Factorization of 4540


2 4540
2 2270
5 1135
227 227
1

Prime factors of 4540 are 2, 5,227. Prime factorization of 4540 in exponential form is:

4540 = 22×51×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 4533 and 4540.

LCM(4533,4540) = 22×31×51×2271×15111
LCM(4533,4540) = 20579820

Factors of 4533

List of positive integer factors of 4533 that divides 4533 without a remainder.

1, 3, 1511, 4533

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

Least Common Multiple of 4533 and 4540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4533 and 4540, than apply into the LCM equation.

GCF(4533,4540) = 1
LCM(4533,4540) = ( 4533 × 4540) / 1
LCM(4533,4540) = 20579820 / 1
LCM(4533,4540) = 20579820

Properties of LCM 4533 and 4540

(i) The LCM of 4540 and 4533 is associative

LCM of 4533 and 4540 = LCM of 4540 and 4533

Related Least Common Multiples of 4533

Related Least Common Multiples of 4540

Frequently Asked Questions on LCM of 4533 and 4540

1. What is the LCM of 4533 and 4540?

Answer: LCM of 4533 and 4540 is 20579820.

2. What are the Factors of 4533?

Answer: Factors of 4533 are 1, 3, 1511, 4533. There are 4 integers that are factors of 4533. The greatest factor of 4533 is 4533.

3. What are the Factors of 4540?

Answer: Factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540. There are 12 integers that are factors of 4540. The greatest factor of 4540 is 4540.

4. How to Find the LCM of 4533 and 4540?

Answer:

Least Common Multiple of 4533 and 4540 = 20579820

Step 1: Find the prime factorization of 4533

4533 = 3 x 1511

Step 2: Find the prime factorization of 4540

4540 = 2 x 2 x 5 x 227

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

LCM = 20579820 = 2 x 2 x 3 x 5 x 227 x 1511

Step 4: Therefore, the least common multiple of 4533 and 4540 is 20579820.