Least Common Multiple of 3756 and 3759

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 3759 the smallest integer that is 4706268 that is divisible by both numbers.

Least Common Multiple (LCM) of 3756 and 3759 is 4706268.

LCM(3756,3759) = 4706268

LCM of 3756 and 3759

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

LCM of:
and

Least Common Multiple of 3756 and 3759

LCM of 3756 and 3759 is 4706268

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3759. First we will calculate the prime factors of 3756 and 3759.

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 3759


3 3759
7 1253
179 179
1

Prime factors of 3759 are 3, 7,179. Prime factorization of 3759 in exponential form is:

3759 = 31×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3756 and 3759.

LCM(3756,3759) = 22×31×71×1791×3131
LCM(3756,3759) = 4706268

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 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1, 3, 7, 21, 179, 537, 1253, 3759

Least Common Multiple of 3756 and 3759 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 3759, than apply into the LCM equation.

GCF(3756,3759) = 3
LCM(3756,3759) = ( 3756 × 3759) / 3
LCM(3756,3759) = 14118804 / 3
LCM(3756,3759) = 4706268

Properties of LCM 3756 and 3759

(i) The LCM of 3759 and 3756 is associative

LCM of 3756 and 3759 = LCM of 3759 and 3756

Related Least Common Multiples of 3756

Related Least Common Multiples of 3759

Frequently Asked Questions on LCM of 3756 and 3759

1. What is the LCM of 3756 and 3759?

Answer: LCM of 3756 and 3759 is 4706268.

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 3759?

Answer: Factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759. There are 8 integers that are factors of 3759. The greatest factor of 3759 is 3759.

4. How to Find the LCM of 3756 and 3759?

Answer:

Least Common Multiple of 3756 and 3759 = 4706268

Step 1: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 3759

3759 = 3 x 7 x 179

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

LCM = 4706268 = 2 x 2 x 3 x 7 x 179 x 313

Step 4: Therefore, the least common multiple of 3756 and 3759 is 4706268.