Least Common Multiple of 3756 and 3764

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 3764 the smallest integer that is 3534396 that is divisible by both numbers.

Least Common Multiple (LCM) of 3756 and 3764 is 3534396.

LCM(3756,3764) = 3534396

LCM of 3756 and 3764

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

LCM of:
and

Least Common Multiple of 3756 and 3764

LCM of 3756 and 3764 is 3534396

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3764. First we will calculate the prime factors of 3756 and 3764.

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 3764


2 3764
2 1882
941 941
1

Prime factors of 3764 are 2,941. Prime factorization of 3764 in exponential form is:

3764 = 22×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 3756 and 3764.

LCM(3756,3764) = 22×31×3131×9411
LCM(3756,3764) = 3534396

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 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1, 2, 4, 941, 1882, 3764

Least Common Multiple of 3756 and 3764 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 3764, than apply into the LCM equation.

GCF(3756,3764) = 4
LCM(3756,3764) = ( 3756 × 3764) / 4
LCM(3756,3764) = 14137584 / 4
LCM(3756,3764) = 3534396

Properties of LCM 3756 and 3764

(i) The LCM of 3764 and 3756 is associative

LCM of 3756 and 3764 = LCM of 3764 and 3756

Related Least Common Multiples of 3756

Related Least Common Multiples of 3764

Frequently Asked Questions on LCM of 3756 and 3764

1. What is the LCM of 3756 and 3764?

Answer: LCM of 3756 and 3764 is 3534396.

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 3764?

Answer: Factors of 3764 are 1, 2, 4, 941, 1882, 3764. There are 6 integers that are factors of 3764. The greatest factor of 3764 is 3764.

4. How to Find the LCM of 3756 and 3764?

Answer:

Least Common Multiple of 3756 and 3764 = 3534396

Step 1: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 3764

3764 = 2 x 2 x 941

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

LCM = 3534396 = 2 x 2 x 3 x 313 x 941

Step 4: Therefore, the least common multiple of 3756 and 3764 is 3534396.