Least Common Multiple of 3724 and 3731

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 3731 the smallest integer that is 1984892 that is divisible by both numbers.

Least Common Multiple (LCM) of 3724 and 3731 is 1984892.

LCM(3724,3731) = 1984892

LCM of 3724 and 3731

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

LCM of:
and

Least Common Multiple of 3724 and 3731

LCM of 3724 and 3731 is 1984892

Least common multiple can be found by multiplying the highest exponent prime factors of 3724 and 3731. First we will calculate the prime factors of 3724 and 3731.

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 3731


7 3731
13 533
41 41
1

Prime factors of 3731 are 7, 13,41. Prime factorization of 3731 in exponential form is:

3731 = 71×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3724 and 3731.

LCM(3724,3731) = 22×72×131×191×411
LCM(3724,3731) = 1984892

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 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1, 7, 13, 41, 91, 287, 533, 3731

Least Common Multiple of 3724 and 3731 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 3731, than apply into the LCM equation.

GCF(3724,3731) = 7
LCM(3724,3731) = ( 3724 × 3731) / 7
LCM(3724,3731) = 13894244 / 7
LCM(3724,3731) = 1984892

Properties of LCM 3724 and 3731

(i) The LCM of 3731 and 3724 is associative

LCM of 3724 and 3731 = LCM of 3731 and 3724

Related Least Common Multiples of 3724

Related Least Common Multiples of 3731

Frequently Asked Questions on LCM of 3724 and 3731

1. What is the LCM of 3724 and 3731?

Answer: LCM of 3724 and 3731 is 1984892.

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 3731?

Answer: Factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731. There are 8 integers that are factors of 3731. The greatest factor of 3731 is 3731.

4. How to Find the LCM of 3724 and 3731?

Answer:

Least Common Multiple of 3724 and 3731 = 1984892

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 3731

3731 = 7 x 13 x 41

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

LCM = 1984892 = 2 x 2 x 7 x 7 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 3724 and 3731 is 1984892.