Least Common Multiple of 3728 and 3729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3728 and 3729 the smallest integer that is 13901712 that is divisible by both numbers.

Least Common Multiple (LCM) of 3728 and 3729 is 13901712.

LCM(3728,3729) = 13901712

LCM of 3728 and 3729

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

LCM of:
and

Least Common Multiple of 3728 and 3729

LCM of 3728 and 3729 is 13901712

Least common multiple can be found by multiplying the highest exponent prime factors of 3728 and 3729. First we will calculate the prime factors of 3728 and 3729.

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

Prime Factorization of 3729


3 3729
11 1243
113 113
1

Prime factors of 3729 are 3, 11,113. Prime factorization of 3729 in exponential form is:

3729 = 31×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3728 and 3729.

LCM(3728,3729) = 24×31×111×1131×2331
LCM(3728,3729) = 13901712

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

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1, 3, 11, 33, 113, 339, 1243, 3729

Least Common Multiple of 3728 and 3729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3728 and 3729, than apply into the LCM equation.

GCF(3728,3729) = 1
LCM(3728,3729) = ( 3728 × 3729) / 1
LCM(3728,3729) = 13901712 / 1
LCM(3728,3729) = 13901712

Properties of LCM 3728 and 3729

(i) The LCM of 3729 and 3728 is associative

LCM of 3728 and 3729 = LCM of 3729 and 3728

Related Least Common Multiples of 3728

Related Least Common Multiples of 3729

Frequently Asked Questions on LCM of 3728 and 3729

1. What is the LCM of 3728 and 3729?

Answer: LCM of 3728 and 3729 is 13901712.

2. 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.

3. What are the Factors of 3729?

Answer: Factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729. There are 8 integers that are factors of 3729. The greatest factor of 3729 is 3729.

4. How to Find the LCM of 3728 and 3729?

Answer:

Least Common Multiple of 3728 and 3729 = 13901712

Step 1: Find the prime factorization of 3728

3728 = 2 x 2 x 2 x 2 x 233

Step 2: Find the prime factorization of 3729

3729 = 3 x 11 x 113

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

LCM = 13901712 = 2 x 2 x 2 x 2 x 3 x 11 x 113 x 233

Step 4: Therefore, the least common multiple of 3728 and 3729 is 13901712.