Least Common Multiple of 4729 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 4729 and 4733 the smallest integer that is 22382357 that is divisible by both numbers.

Least Common Multiple (LCM) of 4729 and 4733 is 22382357.

LCM(4729,4733) = 22382357

LCM of 4729 and 4733

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

LCM of:
and

Least Common Multiple of 4729 and 4733

LCM of 4729 and 4733 is 22382357

Least common multiple can be found by multiplying the highest exponent prime factors of 4729 and 4733. First we will calculate the prime factors of 4729 and 4733.

Prime Factorization of 4729


4729 4729
1

Prime factors of 4729 are 4729. Prime factorization of 4729 in exponential form is:

4729 = 47291

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 4729 and 4733.

LCM(4729,4733) = 47291×47331
LCM(4729,4733) = 22382357

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1, 4729

Factors of 4733

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

1, 4733

Least Common Multiple of 4729 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 4729 and 4733, than apply into the LCM equation.

GCF(4729,4733) = 1
LCM(4729,4733) = ( 4729 × 4733) / 1
LCM(4729,4733) = 22382357 / 1
LCM(4729,4733) = 22382357

Properties of LCM 4729 and 4733

(i) The LCM of 4733 and 4729 is associative

LCM of 4729 and 4733 = LCM of 4733 and 4729

Related Least Common Multiples of 4729

Related Least Common Multiples of 4733

Frequently Asked Questions on LCM of 4729 and 4733

1. What is the LCM of 4729 and 4733?

Answer: LCM of 4729 and 4733 is 22382357.

2. What are the Factors of 4729?

Answer: Factors of 4729 are 1, 4729. There are 2 integers that are factors of 4729. The greatest factor of 4729 is 4729.

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 4729 and 4733?

Answer:

Least Common Multiple of 4729 and 4733 = 22382357

Step 1: Find the prime factorization of 4729

4729 = 4729

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 = 22382357 = 4729 x 4733

Step 4: Therefore, the least common multiple of 4729 and 4733 is 22382357.