Least Common Multiple of 3733 and 3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3733 and 3740 the smallest integer that is 13961420 that is divisible by both numbers.

Least Common Multiple (LCM) of 3733 and 3740 is 13961420.

LCM(3733,3740) = 13961420

LCM of 3733 and 3740

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

LCM of:
and

Least Common Multiple of 3733 and 3740

LCM of 3733 and 3740 is 13961420

Least common multiple can be found by multiplying the highest exponent prime factors of 3733 and 3740. First we will calculate the prime factors of 3733 and 3740.

Prime Factorization of 3733


3733 3733
1

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

3733 = 37331

Prime Factorization of 3740


2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 3740 are 2, 5, 11,17. Prime factorization of 3740 in exponential form is:

3740 = 22×51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3733 and 3740.

LCM(3733,3740) = 22×51×111×171×37331
LCM(3733,3740) = 13961420

Factors of 3733

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

1, 3733

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740

Least Common Multiple of 3733 and 3740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3733 and 3740, than apply into the LCM equation.

GCF(3733,3740) = 1
LCM(3733,3740) = ( 3733 × 3740) / 1
LCM(3733,3740) = 13961420 / 1
LCM(3733,3740) = 13961420

Properties of LCM 3733 and 3740

(i) The LCM of 3740 and 3733 is associative

LCM of 3733 and 3740 = LCM of 3740 and 3733

Related Least Common Multiples of 3733

Related Least Common Multiples of 3740

Frequently Asked Questions on LCM of 3733 and 3740

1. What is the LCM of 3733 and 3740?

Answer: LCM of 3733 and 3740 is 13961420.

2. 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.

3. What are the Factors of 3740?

Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.

4. How to Find the LCM of 3733 and 3740?

Answer:

Least Common Multiple of 3733 and 3740 = 13961420

Step 1: Find the prime factorization of 3733

3733 = 3733

Step 2: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

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

LCM = 13961420 = 2 x 2 x 5 x 11 x 17 x 3733

Step 4: Therefore, the least common multiple of 3733 and 3740 is 13961420.