Least Common Multiple of 3731 and 3736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3731 and 3736 the smallest integer that is 13939016 that is divisible by both numbers.

Least Common Multiple (LCM) of 3731 and 3736 is 13939016.

LCM(3731,3736) = 13939016

LCM of 3731 and 3736

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

LCM of:
and

Least Common Multiple of 3731 and 3736

LCM of 3731 and 3736 is 13939016

Least common multiple can be found by multiplying the highest exponent prime factors of 3731 and 3736. First we will calculate the prime factors of 3731 and 3736.

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

Prime Factorization of 3736


2 3736
2 1868
2 934
467 467
1

Prime factors of 3736 are 2,467. Prime factorization of 3736 in exponential form is:

3736 = 23×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 3731 and 3736.

LCM(3731,3736) = 23×71×131×411×4671
LCM(3731,3736) = 13939016

Factors of 3731

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

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

Factors of 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1, 2, 4, 8, 467, 934, 1868, 3736

Least Common Multiple of 3731 and 3736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3731 and 3736, than apply into the LCM equation.

GCF(3731,3736) = 1
LCM(3731,3736) = ( 3731 × 3736) / 1
LCM(3731,3736) = 13939016 / 1
LCM(3731,3736) = 13939016

Properties of LCM 3731 and 3736

(i) The LCM of 3736 and 3731 is associative

LCM of 3731 and 3736 = LCM of 3736 and 3731

Related Least Common Multiples of 3731

Related Least Common Multiples of 3736

Frequently Asked Questions on LCM of 3731 and 3736

1. What is the LCM of 3731 and 3736?

Answer: LCM of 3731 and 3736 is 13939016.

2. 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.

3. What are the Factors of 3736?

Answer: Factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736. There are 8 integers that are factors of 3736. The greatest factor of 3736 is 3736.

4. How to Find the LCM of 3731 and 3736?

Answer:

Least Common Multiple of 3731 and 3736 = 13939016

Step 1: Find the prime factorization of 3731

3731 = 7 x 13 x 41

Step 2: Find the prime factorization of 3736

3736 = 2 x 2 x 2 x 467

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

LCM = 13939016 = 2 x 2 x 2 x 7 x 13 x 41 x 467

Step 4: Therefore, the least common multiple of 3731 and 3736 is 13939016.