Least Common Multiple of 3740 and 3745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3740 and 3745 the smallest integer that is 2801260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3740 and 3745 is 2801260.

LCM(3740,3745) = 2801260

LCM of 3740 and 3745

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

LCM of:
and

Least Common Multiple of 3740 and 3745

LCM of 3740 and 3745 is 2801260

Least common multiple can be found by multiplying the highest exponent prime factors of 3740 and 3745. First we will calculate the prime factors of 3740 and 3745.

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

Prime Factorization of 3745


5 3745
7 749
107 107
1

Prime factors of 3745 are 5, 7,107. Prime factorization of 3745 in exponential form is:

3745 = 51×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3740 and 3745.

LCM(3740,3745) = 22×51×71×111×171×1071
LCM(3740,3745) = 2801260

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

Factors of 3745

List of positive integer factors of 3745 that divides 3745 without a remainder.

1, 5, 7, 35, 107, 535, 749, 3745

Least Common Multiple of 3740 and 3745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3740 and 3745, than apply into the LCM equation.

GCF(3740,3745) = 5
LCM(3740,3745) = ( 3740 × 3745) / 5
LCM(3740,3745) = 14006300 / 5
LCM(3740,3745) = 2801260

Properties of LCM 3740 and 3745

(i) The LCM of 3745 and 3740 is associative

LCM of 3740 and 3745 = LCM of 3745 and 3740

Related Least Common Multiples of 3740

Related Least Common Multiples of 3745

Frequently Asked Questions on LCM of 3740 and 3745

1. What is the LCM of 3740 and 3745?

Answer: LCM of 3740 and 3745 is 2801260.

2. 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.

3. What are the Factors of 3745?

Answer: Factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745. There are 8 integers that are factors of 3745. The greatest factor of 3745 is 3745.

4. How to Find the LCM of 3740 and 3745?

Answer:

Least Common Multiple of 3740 and 3745 = 2801260

Step 1: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 3745

3745 = 5 x 7 x 107

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

LCM = 2801260 = 2 x 2 x 5 x 7 x 11 x 17 x 107

Step 4: Therefore, the least common multiple of 3740 and 3745 is 2801260.