Least Common Multiple of 3751 and 3757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3751 and 3757 the smallest integer that is 14092507 that is divisible by both numbers.

Least Common Multiple (LCM) of 3751 and 3757 is 14092507.

LCM(3751,3757) = 14092507

LCM of 3751 and 3757

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

LCM of:
and

Least Common Multiple of 3751 and 3757

LCM of 3751 and 3757 is 14092507

Least common multiple can be found by multiplying the highest exponent prime factors of 3751 and 3757. First we will calculate the prime factors of 3751 and 3757.

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

Prime Factorization of 3757


13 3757
17 289
17 17
1

Prime factors of 3757 are 13,17. Prime factorization of 3757 in exponential form is:

3757 = 131×172

Now multiplying the highest exponent prime factors to calculate the LCM of 3751 and 3757.

LCM(3751,3757) = 112×131×172×311
LCM(3751,3757) = 14092507

Factors of 3751

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

1, 11, 31, 121, 341, 3751

Factors of 3757

List of positive integer factors of 3757 that divides 3757 without a remainder.

1, 13, 17, 221, 289, 3757

Least Common Multiple of 3751 and 3757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3751 and 3757, than apply into the LCM equation.

GCF(3751,3757) = 1
LCM(3751,3757) = ( 3751 × 3757) / 1
LCM(3751,3757) = 14092507 / 1
LCM(3751,3757) = 14092507

Properties of LCM 3751 and 3757

(i) The LCM of 3757 and 3751 is associative

LCM of 3751 and 3757 = LCM of 3757 and 3751

Related Least Common Multiples of 3751

Related Least Common Multiples of 3757

Frequently Asked Questions on LCM of 3751 and 3757

1. What is the LCM of 3751 and 3757?

Answer: LCM of 3751 and 3757 is 14092507.

2. 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.

3. What are the Factors of 3757?

Answer: Factors of 3757 are 1, 13, 17, 221, 289, 3757. There are 6 integers that are factors of 3757. The greatest factor of 3757 is 3757.

4. How to Find the LCM of 3751 and 3757?

Answer:

Least Common Multiple of 3751 and 3757 = 14092507

Step 1: Find the prime factorization of 3751

3751 = 11 x 11 x 31

Step 2: Find the prime factorization of 3757

3757 = 13 x 17 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 = 14092507 = 11 x 11 x 13 x 17 x 17 x 31

Step 4: Therefore, the least common multiple of 3751 and 3757 is 14092507.