Least Common Multiple of 3731 and 3733

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 3733 the smallest integer that is 13927823 that is divisible by both numbers.

Least Common Multiple (LCM) of 3731 and 3733 is 13927823.

LCM(3731,3733) = 13927823

LCM of 3731 and 3733

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

LCM of:
and

Least Common Multiple of 3731 and 3733

LCM of 3731 and 3733 is 13927823

Least common multiple can be found by multiplying the highest exponent prime factors of 3731 and 3733. First we will calculate the prime factors of 3731 and 3733.

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 3733


3733 3733
1

Prime factors of 3733 are 3733. Prime factorization of 3733 in exponential form is:

3733 = 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 3731 and 3733.

LCM(3731,3733) = 71×131×411×37331
LCM(3731,3733) = 13927823

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 3733

List of positive integer factors of 3733 that divides 3733 without a remainder.

1, 3733

Least Common Multiple of 3731 and 3733 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 3733, than apply into the LCM equation.

GCF(3731,3733) = 1
LCM(3731,3733) = ( 3731 × 3733) / 1
LCM(3731,3733) = 13927823 / 1
LCM(3731,3733) = 13927823

Properties of LCM 3731 and 3733

(i) The LCM of 3733 and 3731 is associative

LCM of 3731 and 3733 = LCM of 3733 and 3731

Related Least Common Multiples of 3731

Related Least Common Multiples of 3733

Frequently Asked Questions on LCM of 3731 and 3733

1. What is the LCM of 3731 and 3733?

Answer: LCM of 3731 and 3733 is 13927823.

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 3733?

Answer: Factors of 3733 are 1, 3733. There are 2 integers that are factors of 3733. The greatest factor of 3733 is 3733.

4. How to Find the LCM of 3731 and 3733?

Answer:

Least Common Multiple of 3731 and 3733 = 13927823

Step 1: Find the prime factorization of 3731

3731 = 7 x 13 x 41

Step 2: Find the prime factorization of 3733

3733 = 3733

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

LCM = 13927823 = 7 x 13 x 41 x 3733

Step 4: Therefore, the least common multiple of 3731 and 3733 is 13927823.