Least Common Multiple of 3726 and 3727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3726 and 3727 the smallest integer that is 13886802 that is divisible by both numbers.

Least Common Multiple (LCM) of 3726 and 3727 is 13886802.

LCM(3726,3727) = 13886802

LCM of 3726 and 3727

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

LCM of:
and

Least Common Multiple of 3726 and 3727

LCM of 3726 and 3727 is 13886802

Least common multiple can be found by multiplying the highest exponent prime factors of 3726 and 3727. First we will calculate the prime factors of 3726 and 3727.

Prime Factorization of 3726


2 3726
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 3726 are 2, 3,23. Prime factorization of 3726 in exponential form is:

3726 = 21×34×231

Prime Factorization of 3727


3727 3727
1

Prime factors of 3727 are 3727. Prime factorization of 3727 in exponential form is:

3727 = 37271

Now multiplying the highest exponent prime factors to calculate the LCM of 3726 and 3727.

LCM(3726,3727) = 21×34×231×37271
LCM(3726,3727) = 13886802

Factors of 3726

List of positive integer factors of 3726 that divides 3726 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726

Factors of 3727

List of positive integer factors of 3727 that divides 3727 without a remainder.

1, 3727

Least Common Multiple of 3726 and 3727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3726 and 3727, than apply into the LCM equation.

GCF(3726,3727) = 1
LCM(3726,3727) = ( 3726 × 3727) / 1
LCM(3726,3727) = 13886802 / 1
LCM(3726,3727) = 13886802

Properties of LCM 3726 and 3727

(i) The LCM of 3727 and 3726 is associative

LCM of 3726 and 3727 = LCM of 3727 and 3726

Related Least Common Multiples of 3726

Related Least Common Multiples of 3727

Frequently Asked Questions on LCM of 3726 and 3727

1. What is the LCM of 3726 and 3727?

Answer: LCM of 3726 and 3727 is 13886802.

2. What are the Factors of 3726?

Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.

3. What are the Factors of 3727?

Answer: Factors of 3727 are 1, 3727. There are 2 integers that are factors of 3727. The greatest factor of 3727 is 3727.

4. How to Find the LCM of 3726 and 3727?

Answer:

Least Common Multiple of 3726 and 3727 = 13886802

Step 1: Find the prime factorization of 3726

3726 = 2 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 3727

3727 = 3727

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

LCM = 13886802 = 2 x 3 x 3 x 3 x 3 x 23 x 3727

Step 4: Therefore, the least common multiple of 3726 and 3727 is 13886802.