Least Common Multiple of 3724 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 3724 and 3727 the smallest integer that is 13879348 that is divisible by both numbers.

Least Common Multiple (LCM) of 3724 and 3727 is 13879348.

LCM(3724,3727) = 13879348

LCM of 3724 and 3727

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

LCM of:
and

Least Common Multiple of 3724 and 3727

LCM of 3724 and 3727 is 13879348

Least common multiple can be found by multiplying the highest exponent prime factors of 3724 and 3727. First we will calculate the prime factors of 3724 and 3727.

Prime Factorization of 3724


2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 3724 are 2, 7,19. Prime factorization of 3724 in exponential form is:

3724 = 22×72×191

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 3724 and 3727.

LCM(3724,3727) = 22×72×191×37271
LCM(3724,3727) = 13879348

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724

Factors of 3727

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

1, 3727

Least Common Multiple of 3724 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 3724 and 3727, than apply into the LCM equation.

GCF(3724,3727) = 1
LCM(3724,3727) = ( 3724 × 3727) / 1
LCM(3724,3727) = 13879348 / 1
LCM(3724,3727) = 13879348

Properties of LCM 3724 and 3727

(i) The LCM of 3727 and 3724 is associative

LCM of 3724 and 3727 = LCM of 3727 and 3724

Related Least Common Multiples of 3724

Related Least Common Multiples of 3727

Frequently Asked Questions on LCM of 3724 and 3727

1. What is the LCM of 3724 and 3727?

Answer: LCM of 3724 and 3727 is 13879348.

2. What are the Factors of 3724?

Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.

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 3724 and 3727?

Answer:

Least Common Multiple of 3724 and 3727 = 13879348

Step 1: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

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 = 13879348 = 2 x 2 x 7 x 7 x 19 x 3727

Step 4: Therefore, the least common multiple of 3724 and 3727 is 13879348.