Least Common Multiple of 3723 and 3724

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 3724 the smallest integer that is 13864452 that is divisible by both numbers.

Least Common Multiple (LCM) of 3723 and 3724 is 13864452.

LCM(3723,3724) = 13864452

LCM of 3723 and 3724

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

LCM of:
and

Least Common Multiple of 3723 and 3724

LCM of 3723 and 3724 is 13864452

Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3724. First we will calculate the prime factors of 3723 and 3724.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3724.

LCM(3723,3724) = 22×31×72×171×191×731
LCM(3723,3724) = 13864452

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 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

Least Common Multiple of 3723 and 3724 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 3724, than apply into the LCM equation.

GCF(3723,3724) = 1
LCM(3723,3724) = ( 3723 × 3724) / 1
LCM(3723,3724) = 13864452 / 1
LCM(3723,3724) = 13864452

Properties of LCM 3723 and 3724

(i) The LCM of 3724 and 3723 is associative

LCM of 3723 and 3724 = LCM of 3724 and 3723

Related Least Common Multiples of 3723

Related Least Common Multiples of 3724

Frequently Asked Questions on LCM of 3723 and 3724

1. What is the LCM of 3723 and 3724?

Answer: LCM of 3723 and 3724 is 13864452.

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 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.

4. How to Find the LCM of 3723 and 3724?

Answer:

Least Common Multiple of 3723 and 3724 = 13864452

Step 1: Find the prime factorization of 3723

3723 = 3 x 17 x 73

Step 2: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

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

LCM = 13864452 = 2 x 2 x 3 x 7 x 7 x 17 x 19 x 73

Step 4: Therefore, the least common multiple of 3723 and 3724 is 13864452.