Least Common Multiple of 3745 and 3751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3745 and 3751 the smallest integer that is 14047495 that is divisible by both numbers.

Least Common Multiple (LCM) of 3745 and 3751 is 14047495.

LCM(3745,3751) = 14047495

LCM of 3745 and 3751

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

LCM of:
and

Least Common Multiple of 3745 and 3751

LCM of 3745 and 3751 is 14047495

Least common multiple can be found by multiplying the highest exponent prime factors of 3745 and 3751. First we will calculate the prime factors of 3745 and 3751.

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

Prime Factorization of 3751


11 3751
11 341
31 31
1

Prime factors of 3751 are 11,31. Prime factorization of 3751 in exponential form is:

3751 = 112×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3745 and 3751.

LCM(3745,3751) = 51×71×112×311×1071
LCM(3745,3751) = 14047495

Factors of 3745

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

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

Factors of 3751

List of positive integer factors of 3751 that divides 3751 without a remainder.

1, 11, 31, 121, 341, 3751

Least Common Multiple of 3745 and 3751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3745 and 3751, than apply into the LCM equation.

GCF(3745,3751) = 1
LCM(3745,3751) = ( 3745 × 3751) / 1
LCM(3745,3751) = 14047495 / 1
LCM(3745,3751) = 14047495

Properties of LCM 3745 and 3751

(i) The LCM of 3751 and 3745 is associative

LCM of 3745 and 3751 = LCM of 3751 and 3745

Related Least Common Multiples of 3745

Related Least Common Multiples of 3751

Frequently Asked Questions on LCM of 3745 and 3751

1. What is the LCM of 3745 and 3751?

Answer: LCM of 3745 and 3751 is 14047495.

2. 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.

3. What are the Factors of 3751?

Answer: Factors of 3751 are 1, 11, 31, 121, 341, 3751. There are 6 integers that are factors of 3751. The greatest factor of 3751 is 3751.

4. How to Find the LCM of 3745 and 3751?

Answer:

Least Common Multiple of 3745 and 3751 = 14047495

Step 1: Find the prime factorization of 3745

3745 = 5 x 7 x 107

Step 2: Find the prime factorization of 3751

3751 = 11 x 11 x 31

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

LCM = 14047495 = 5 x 7 x 11 x 11 x 31 x 107

Step 4: Therefore, the least common multiple of 3745 and 3751 is 14047495.