Least Common Multiple of 3756 and 3763

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 3763 the smallest integer that is 14133828 that is divisible by both numbers.

Least Common Multiple (LCM) of 3756 and 3763 is 14133828.

LCM(3756,3763) = 14133828

LCM of 3756 and 3763

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

LCM of:
and

Least Common Multiple of 3756 and 3763

LCM of 3756 and 3763 is 14133828

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3763. First we will calculate the prime factors of 3756 and 3763.

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 3763


53 3763
71 71
1

Prime factors of 3763 are 53,71. Prime factorization of 3763 in exponential form is:

3763 = 531×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3756 and 3763.

LCM(3756,3763) = 22×31×531×711×3131
LCM(3756,3763) = 14133828

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 3763

List of positive integer factors of 3763 that divides 3763 without a remainder.

1, 53, 71, 3763

Least Common Multiple of 3756 and 3763 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 3763, than apply into the LCM equation.

GCF(3756,3763) = 1
LCM(3756,3763) = ( 3756 × 3763) / 1
LCM(3756,3763) = 14133828 / 1
LCM(3756,3763) = 14133828

Properties of LCM 3756 and 3763

(i) The LCM of 3763 and 3756 is associative

LCM of 3756 and 3763 = LCM of 3763 and 3756

Related Least Common Multiples of 3756

Related Least Common Multiples of 3763

Frequently Asked Questions on LCM of 3756 and 3763

1. What is the LCM of 3756 and 3763?

Answer: LCM of 3756 and 3763 is 14133828.

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 3763?

Answer: Factors of 3763 are 1, 53, 71, 3763. There are 4 integers that are factors of 3763. The greatest factor of 3763 is 3763.

4. How to Find the LCM of 3756 and 3763?

Answer:

Least Common Multiple of 3756 and 3763 = 14133828

Step 1: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 3763

3763 = 53 x 71

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

LCM = 14133828 = 2 x 2 x 3 x 53 x 71 x 313

Step 4: Therefore, the least common multiple of 3756 and 3763 is 14133828.