Least Common Multiple of 3723 and 3728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3723 and 3728 the smallest integer that is 13879344 that is divisible by both numbers.

Least Common Multiple (LCM) of 3723 and 3728 is 13879344.

LCM(3723,3728) = 13879344

LCM of 3723 and 3728

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

LCM of:
and

Least Common Multiple of 3723 and 3728

LCM of 3723 and 3728 is 13879344

Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3728. First we will calculate the prime factors of 3723 and 3728.

Prime Factorization of 3723


3 3723
17 1241
73 73
1

Prime factors of 3723 are 3, 17,73. Prime factorization of 3723 in exponential form is:

3723 = 31×171×731

Prime Factorization of 3728


2 3728
2 1864
2 932
2 466
233 233
1

Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:

3728 = 24×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3728.

LCM(3723,3728) = 24×31×171×731×2331
LCM(3723,3728) = 13879344

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1, 3, 17, 51, 73, 219, 1241, 3723

Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

Least Common Multiple of 3723 and 3728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3723 and 3728, than apply into the LCM equation.

GCF(3723,3728) = 1
LCM(3723,3728) = ( 3723 × 3728) / 1
LCM(3723,3728) = 13879344 / 1
LCM(3723,3728) = 13879344

Properties of LCM 3723 and 3728

(i) The LCM of 3728 and 3723 is associative

LCM of 3723 and 3728 = LCM of 3728 and 3723

Related Least Common Multiples of 3723

Related Least Common Multiples of 3728

Frequently Asked Questions on LCM of 3723 and 3728

1. What is the LCM of 3723 and 3728?

Answer: LCM of 3723 and 3728 is 13879344.

2. What are the Factors of 3723?

Answer: Factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723. There are 8 integers that are factors of 3723. The greatest factor of 3723 is 3723.

3. What are the Factors of 3728?

Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.

4. How to Find the LCM of 3723 and 3728?

Answer:

Least Common Multiple of 3723 and 3728 = 13879344

Step 1: Find the prime factorization of 3723

3723 = 3 x 17 x 73

Step 2: Find the prime factorization of 3728

3728 = 2 x 2 x 2 x 2 x 233

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

LCM = 13879344 = 2 x 2 x 2 x 2 x 3 x 17 x 73 x 233

Step 4: Therefore, the least common multiple of 3723 and 3728 is 13879344.