Least Common Multiple of 4728 and 4730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4728 and 4730 the smallest integer that is 11181720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4728 and 4730 is 11181720.

LCM(4728,4730) = 11181720

LCM of 4728 and 4730

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

LCM of:
and

Least Common Multiple of 4728 and 4730

LCM of 4728 and 4730 is 11181720

Least common multiple can be found by multiplying the highest exponent prime factors of 4728 and 4730. First we will calculate the prime factors of 4728 and 4730.

Prime Factorization of 4728


2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 4728 are 2, 3,197. Prime factorization of 4728 in exponential form is:

4728 = 23×31×1971

Prime Factorization of 4730


2 4730
5 2365
11 473
43 43
1

Prime factors of 4730 are 2, 5, 11,43. Prime factorization of 4730 in exponential form is:

4730 = 21×51×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4728 and 4730.

LCM(4728,4730) = 23×31×51×111×431×1971
LCM(4728,4730) = 11181720

Factors of 4728

List of positive integer factors of 4728 that divides 4728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730

Least Common Multiple of 4728 and 4730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4728 and 4730, than apply into the LCM equation.

GCF(4728,4730) = 2
LCM(4728,4730) = ( 4728 × 4730) / 2
LCM(4728,4730) = 22363440 / 2
LCM(4728,4730) = 11181720

Properties of LCM 4728 and 4730

(i) The LCM of 4730 and 4728 is associative

LCM of 4728 and 4730 = LCM of 4730 and 4728

Related Least Common Multiples of 4728

Related Least Common Multiples of 4730

Frequently Asked Questions on LCM of 4728 and 4730

1. What is the LCM of 4728 and 4730?

Answer: LCM of 4728 and 4730 is 11181720.

2. What are the Factors of 4728?

Answer: Factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728. There are 16 integers that are factors of 4728. The greatest factor of 4728 is 4728.

3. What are the Factors of 4730?

Answer: Factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730. There are 16 integers that are factors of 4730. The greatest factor of 4730 is 4730.

4. How to Find the LCM of 4728 and 4730?

Answer:

Least Common Multiple of 4728 and 4730 = 11181720

Step 1: Find the prime factorization of 4728

4728 = 2 x 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 4730

4730 = 2 x 5 x 11 x 43

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

LCM = 11181720 = 2 x 2 x 2 x 3 x 5 x 11 x 43 x 197

Step 4: Therefore, the least common multiple of 4728 and 4730 is 11181720.