Least Common Multiple of 4725 and 4733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4725 and 4733 the smallest integer that is 22363425 that is divisible by both numbers.

Least Common Multiple (LCM) of 4725 and 4733 is 22363425.

LCM(4725,4733) = 22363425

LCM of 4725 and 4733

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

LCM of:
and

Least Common Multiple of 4725 and 4733

LCM of 4725 and 4733 is 22363425

Least common multiple can be found by multiplying the highest exponent prime factors of 4725 and 4733. First we will calculate the prime factors of 4725 and 4733.

Prime Factorization of 4725


3 4725
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 4725 are 3, 5,7. Prime factorization of 4725 in exponential form is:

4725 = 33×52×71

Prime Factorization of 4733


4733 4733
1

Prime factors of 4733 are 4733. Prime factorization of 4733 in exponential form is:

4733 = 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 4725 and 4733.

LCM(4725,4733) = 33×52×71×47331
LCM(4725,4733) = 22363425

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725

Factors of 4733

List of positive integer factors of 4733 that divides 4733 without a remainder.

1, 4733

Least Common Multiple of 4725 and 4733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4725 and 4733, than apply into the LCM equation.

GCF(4725,4733) = 1
LCM(4725,4733) = ( 4725 × 4733) / 1
LCM(4725,4733) = 22363425 / 1
LCM(4725,4733) = 22363425

Properties of LCM 4725 and 4733

(i) The LCM of 4733 and 4725 is associative

LCM of 4725 and 4733 = LCM of 4733 and 4725

Related Least Common Multiples of 4725

Related Least Common Multiples of 4733

Frequently Asked Questions on LCM of 4725 and 4733

1. What is the LCM of 4725 and 4733?

Answer: LCM of 4725 and 4733 is 22363425.

2. What are the Factors of 4725?

Answer: Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. There are 24 integers that are factors of 4725. The greatest factor of 4725 is 4725.

3. What are the Factors of 4733?

Answer: Factors of 4733 are 1, 4733. There are 2 integers that are factors of 4733. The greatest factor of 4733 is 4733.

4. How to Find the LCM of 4725 and 4733?

Answer:

Least Common Multiple of 4725 and 4733 = 22363425

Step 1: Find the prime factorization of 4725

4725 = 3 x 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 4733

4733 = 4733

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

LCM = 22363425 = 3 x 3 x 3 x 5 x 5 x 7 x 4733

Step 4: Therefore, the least common multiple of 4725 and 4733 is 22363425.