Least Common Multiple of 4529 and 4533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4529 and 4533 the smallest integer that is 20529957 that is divisible by both numbers.

Least Common Multiple (LCM) of 4529 and 4533 is 20529957.

LCM(4529,4533) = 20529957

LCM of 4529 and 4533

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

LCM of:
and

Least Common Multiple of 4529 and 4533

LCM of 4529 and 4533 is 20529957

Least common multiple can be found by multiplying the highest exponent prime factors of 4529 and 4533. First we will calculate the prime factors of 4529 and 4533.

Prime Factorization of 4529


7 4529
647 647
1

Prime factors of 4529 are 7,647. Prime factorization of 4529 in exponential form is:

4529 = 71×6471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4529 and 4533.

LCM(4529,4533) = 31×71×6471×15111
LCM(4529,4533) = 20529957

Factors of 4529

List of positive integer factors of 4529 that divides 4529 without a remainder.

1, 7, 647, 4529

Factors of 4533

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

1, 3, 1511, 4533

Least Common Multiple of 4529 and 4533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4529 and 4533, than apply into the LCM equation.

GCF(4529,4533) = 1
LCM(4529,4533) = ( 4529 × 4533) / 1
LCM(4529,4533) = 20529957 / 1
LCM(4529,4533) = 20529957

Properties of LCM 4529 and 4533

(i) The LCM of 4533 and 4529 is associative

LCM of 4529 and 4533 = LCM of 4533 and 4529

Related Least Common Multiples of 4529

Related Least Common Multiples of 4533

Frequently Asked Questions on LCM of 4529 and 4533

1. What is the LCM of 4529 and 4533?

Answer: LCM of 4529 and 4533 is 20529957.

2. What are the Factors of 4529?

Answer: Factors of 4529 are 1, 7, 647, 4529. There are 4 integers that are factors of 4529. The greatest factor of 4529 is 4529.

3. 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.

4. How to Find the LCM of 4529 and 4533?

Answer:

Least Common Multiple of 4529 and 4533 = 20529957

Step 1: Find the prime factorization of 4529

4529 = 7 x 647

Step 2: Find the prime factorization of 4533

4533 = 3 x 1511

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

LCM = 20529957 = 3 x 7 x 647 x 1511

Step 4: Therefore, the least common multiple of 4529 and 4533 is 20529957.