Least Common Multiple of 3756 and 3761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3756 and 3761 the smallest integer that is 14126316 that is divisible by both numbers.

Least Common Multiple (LCM) of 3756 and 3761 is 14126316.

LCM(3756,3761) = 14126316

LCM of 3756 and 3761

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

LCM of:
and

Least Common Multiple of 3756 and 3761

LCM of 3756 and 3761 is 14126316

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3761. First we will calculate the prime factors of 3756 and 3761.

Prime Factorization of 3756


2 3756
2 1878
3 939
313 313
1

Prime factors of 3756 are 2, 3,313. Prime factorization of 3756 in exponential form is:

3756 = 22×31×3131

Prime Factorization of 3761


3761 3761
1

Prime factors of 3761 are 3761. Prime factorization of 3761 in exponential form is:

3761 = 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 3756 and 3761.

LCM(3756,3761) = 22×31×3131×37611
LCM(3756,3761) = 14126316

Factors of 3756

List of positive integer factors of 3756 that divides 3756 without a remainder.

1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756

Factors of 3761

List of positive integer factors of 3761 that divides 3761 without a remainder.

1, 3761

Least Common Multiple of 3756 and 3761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3756 and 3761, than apply into the LCM equation.

GCF(3756,3761) = 1
LCM(3756,3761) = ( 3756 × 3761) / 1
LCM(3756,3761) = 14126316 / 1
LCM(3756,3761) = 14126316

Properties of LCM 3756 and 3761

(i) The LCM of 3761 and 3756 is associative

LCM of 3756 and 3761 = LCM of 3761 and 3756

Related Least Common Multiples of 3756

Related Least Common Multiples of 3761

Frequently Asked Questions on LCM of 3756 and 3761

1. What is the LCM of 3756 and 3761?

Answer: LCM of 3756 and 3761 is 14126316.

2. What are the Factors of 3756?

Answer: Factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756. There are 12 integers that are factors of 3756. The greatest factor of 3756 is 3756.

3. What are the Factors of 3761?

Answer: Factors of 3761 are 1, 3761. There are 2 integers that are factors of 3761. The greatest factor of 3761 is 3761.

4. How to Find the LCM of 3756 and 3761?

Answer:

Least Common Multiple of 3756 and 3761 = 14126316

Step 1: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 3761

3761 = 3761

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

LCM = 14126316 = 2 x 2 x 3 x 313 x 3761

Step 4: Therefore, the least common multiple of 3756 and 3761 is 14126316.