Least Common Multiple of 7723 and 7728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7723 and 7728 the smallest integer that is 59683344 that is divisible by both numbers.

Least Common Multiple (LCM) of 7723 and 7728 is 59683344.

LCM(7723,7728) = 59683344

LCM of 7723 and 7728

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

LCM of:
and

Least Common Multiple of 7723 and 7728

LCM of 7723 and 7728 is 59683344

Least common multiple can be found by multiplying the highest exponent prime factors of 7723 and 7728. First we will calculate the prime factors of 7723 and 7728.

Prime Factorization of 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

Prime Factorization of 7728


2 7728
2 3864
2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 7728 are 2, 3, 7,23. Prime factorization of 7728 in exponential form is:

7728 = 24×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7723 and 7728.

LCM(7723,7728) = 24×31×71×231×77231
LCM(7723,7728) = 59683344

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1, 7723

Factors of 7728

List of positive integer factors of 7728 that divides 7728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728

Least Common Multiple of 7723 and 7728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7723 and 7728, than apply into the LCM equation.

GCF(7723,7728) = 1
LCM(7723,7728) = ( 7723 × 7728) / 1
LCM(7723,7728) = 59683344 / 1
LCM(7723,7728) = 59683344

Properties of LCM 7723 and 7728

(i) The LCM of 7728 and 7723 is associative

LCM of 7723 and 7728 = LCM of 7728 and 7723

Related Least Common Multiples of 7723

Related Least Common Multiples of 7728

Frequently Asked Questions on LCM of 7723 and 7728

1. What is the LCM of 7723 and 7728?

Answer: LCM of 7723 and 7728 is 59683344.

2. What are the Factors of 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

3. What are the Factors of 7728?

Answer: Factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728. There are 40 integers that are factors of 7728. The greatest factor of 7728 is 7728.

4. How to Find the LCM of 7723 and 7728?

Answer:

Least Common Multiple of 7723 and 7728 = 59683344

Step 1: Find the prime factorization of 7723

7723 = 7723

Step 2: Find the prime factorization of 7728

7728 = 2 x 2 x 2 x 2 x 3 x 7 x 23

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

LCM = 59683344 = 2 x 2 x 2 x 2 x 3 x 7 x 23 x 7723

Step 4: Therefore, the least common multiple of 7723 and 7728 is 59683344.