Least Common Multiple of 4533 and 4537

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 4537 the smallest integer that is 20566221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4533 and 4537 is 20566221.

LCM(4533,4537) = 20566221

LCM of 4533 and 4537

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

LCM of:
and

Least Common Multiple of 4533 and 4537

LCM of 4533 and 4537 is 20566221

Least common multiple can be found by multiplying the highest exponent prime factors of 4533 and 4537. First we will calculate the prime factors of 4533 and 4537.

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 4537


13 4537
349 349
1

Prime factors of 4537 are 13,349. Prime factorization of 4537 in exponential form is:

4537 = 131×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 4533 and 4537.

LCM(4533,4537) = 31×131×3491×15111
LCM(4533,4537) = 20566221

Factors of 4533

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

1, 3, 1511, 4533

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1, 13, 349, 4537

Least Common Multiple of 4533 and 4537 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 4537, than apply into the LCM equation.

GCF(4533,4537) = 1
LCM(4533,4537) = ( 4533 × 4537) / 1
LCM(4533,4537) = 20566221 / 1
LCM(4533,4537) = 20566221

Properties of LCM 4533 and 4537

(i) The LCM of 4537 and 4533 is associative

LCM of 4533 and 4537 = LCM of 4537 and 4533

Related Least Common Multiples of 4533

Related Least Common Multiples of 4537

Frequently Asked Questions on LCM of 4533 and 4537

1. What is the LCM of 4533 and 4537?

Answer: LCM of 4533 and 4537 is 20566221.

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 4537?

Answer: Factors of 4537 are 1, 13, 349, 4537. There are 4 integers that are factors of 4537. The greatest factor of 4537 is 4537.

4. How to Find the LCM of 4533 and 4537?

Answer:

Least Common Multiple of 4533 and 4537 = 20566221

Step 1: Find the prime factorization of 4533

4533 = 3 x 1511

Step 2: Find the prime factorization of 4537

4537 = 13 x 349

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

LCM = 20566221 = 3 x 13 x 349 x 1511

Step 4: Therefore, the least common multiple of 4533 and 4537 is 20566221.