Least Common Multiple of 4726 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 4726 and 4733 the smallest integer that is 22368158 that is divisible by both numbers.

Least Common Multiple (LCM) of 4726 and 4733 is 22368158.

LCM(4726,4733) = 22368158

LCM of 4726 and 4733

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

LCM of:
and

Least Common Multiple of 4726 and 4733

LCM of 4726 and 4733 is 22368158

Least common multiple can be found by multiplying the highest exponent prime factors of 4726 and 4733. First we will calculate the prime factors of 4726 and 4733.

Prime Factorization of 4726


2 4726
17 2363
139 139
1

Prime factors of 4726 are 2, 17,139. Prime factorization of 4726 in exponential form is:

4726 = 21×171×1391

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 4726 and 4733.

LCM(4726,4733) = 21×171×1391×47331
LCM(4726,4733) = 22368158

Factors of 4726

List of positive integer factors of 4726 that divides 4726 without a remainder.

1, 2, 17, 34, 139, 278, 2363, 4726

Factors of 4733

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

1, 4733

Least Common Multiple of 4726 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 4726 and 4733, than apply into the LCM equation.

GCF(4726,4733) = 1
LCM(4726,4733) = ( 4726 × 4733) / 1
LCM(4726,4733) = 22368158 / 1
LCM(4726,4733) = 22368158

Properties of LCM 4726 and 4733

(i) The LCM of 4733 and 4726 is associative

LCM of 4726 and 4733 = LCM of 4733 and 4726

Related Least Common Multiples of 4726

Related Least Common Multiples of 4733

Frequently Asked Questions on LCM of 4726 and 4733

1. What is the LCM of 4726 and 4733?

Answer: LCM of 4726 and 4733 is 22368158.

2. What are the Factors of 4726?

Answer: Factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726. There are 8 integers that are factors of 4726. The greatest factor of 4726 is 4726.

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 4726 and 4733?

Answer:

Least Common Multiple of 4726 and 4733 = 22368158

Step 1: Find the prime factorization of 4726

4726 = 2 x 17 x 139

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 = 22368158 = 2 x 17 x 139 x 4733

Step 4: Therefore, the least common multiple of 4726 and 4733 is 22368158.