Least Common Multiple of 4525 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 4525 and 4533 the smallest integer that is 20511825 that is divisible by both numbers.

Least Common Multiple (LCM) of 4525 and 4533 is 20511825.

LCM(4525,4533) = 20511825

LCM of 4525 and 4533

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

LCM of:
and

Least Common Multiple of 4525 and 4533

LCM of 4525 and 4533 is 20511825

Least common multiple can be found by multiplying the highest exponent prime factors of 4525 and 4533. First we will calculate the prime factors of 4525 and 4533.

Prime Factorization of 4525


5 4525
5 905
181 181
1

Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:

4525 = 52×1811

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 4525 and 4533.

LCM(4525,4533) = 31×52×1811×15111
LCM(4525,4533) = 20511825

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1, 5, 25, 181, 905, 4525

Factors of 4533

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

1, 3, 1511, 4533

Least Common Multiple of 4525 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 4525 and 4533, than apply into the LCM equation.

GCF(4525,4533) = 1
LCM(4525,4533) = ( 4525 × 4533) / 1
LCM(4525,4533) = 20511825 / 1
LCM(4525,4533) = 20511825

Properties of LCM 4525 and 4533

(i) The LCM of 4533 and 4525 is associative

LCM of 4525 and 4533 = LCM of 4533 and 4525

Related Least Common Multiples of 4525

Related Least Common Multiples of 4533

Frequently Asked Questions on LCM of 4525 and 4533

1. What is the LCM of 4525 and 4533?

Answer: LCM of 4525 and 4533 is 20511825.

2. What are the Factors of 4525?

Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.

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 4525 and 4533?

Answer:

Least Common Multiple of 4525 and 4533 = 20511825

Step 1: Find the prime factorization of 4525

4525 = 5 x 5 x 181

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 = 20511825 = 3 x 5 x 5 x 181 x 1511

Step 4: Therefore, the least common multiple of 4525 and 4533 is 20511825.