Least Common Multiple of 3721 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 3721 and 3728 the smallest integer that is 13871888 that is divisible by both numbers.

Least Common Multiple (LCM) of 3721 and 3728 is 13871888.

LCM(3721,3728) = 13871888

LCM of 3721 and 3728

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

LCM of:
and

Least Common Multiple of 3721 and 3728

LCM of 3721 and 3728 is 13871888

Least common multiple can be found by multiplying the highest exponent prime factors of 3721 and 3728. First we will calculate the prime factors of 3721 and 3728.

Prime Factorization of 3721


61 3721
61 61
1

Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:

3721 = 612

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 3721 and 3728.

LCM(3721,3728) = 24×612×2331
LCM(3721,3728) = 13871888

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1, 61, 3721

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 3721 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 3721 and 3728, than apply into the LCM equation.

GCF(3721,3728) = 1
LCM(3721,3728) = ( 3721 × 3728) / 1
LCM(3721,3728) = 13871888 / 1
LCM(3721,3728) = 13871888

Properties of LCM 3721 and 3728

(i) The LCM of 3728 and 3721 is associative

LCM of 3721 and 3728 = LCM of 3728 and 3721

Related Least Common Multiples of 3721

Related Least Common Multiples of 3728

Frequently Asked Questions on LCM of 3721 and 3728

1. What is the LCM of 3721 and 3728?

Answer: LCM of 3721 and 3728 is 13871888.

2. What are the Factors of 3721?

Answer: Factors of 3721 are 1, 61, 3721. There are 3 integers that are factors of 3721. The greatest factor of 3721 is 3721.

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 3721 and 3728?

Answer:

Least Common Multiple of 3721 and 3728 = 13871888

Step 1: Find the prime factorization of 3721

3721 = 61 x 61

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 = 13871888 = 2 x 2 x 2 x 2 x 61 x 61 x 233

Step 4: Therefore, the least common multiple of 3721 and 3728 is 13871888.