Least Common Multiple of 3756 and 3758

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 3758 the smallest integer that is 7057524 that is divisible by both numbers.

Least Common Multiple (LCM) of 3756 and 3758 is 7057524.

LCM(3756,3758) = 7057524

LCM of 3756 and 3758

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

LCM of:
and

Least Common Multiple of 3756 and 3758

LCM of 3756 and 3758 is 7057524

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3758. First we will calculate the prime factors of 3756 and 3758.

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 3758


2 3758
1879 1879
1

Prime factors of 3758 are 2,1879. Prime factorization of 3758 in exponential form is:

3758 = 21×18791

Now multiplying the highest exponent prime factors to calculate the LCM of 3756 and 3758.

LCM(3756,3758) = 22×31×3131×18791
LCM(3756,3758) = 7057524

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 3758

List of positive integer factors of 3758 that divides 3758 without a remainder.

1, 2, 1879, 3758

Least Common Multiple of 3756 and 3758 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 3758, than apply into the LCM equation.

GCF(3756,3758) = 2
LCM(3756,3758) = ( 3756 × 3758) / 2
LCM(3756,3758) = 14115048 / 2
LCM(3756,3758) = 7057524

Properties of LCM 3756 and 3758

(i) The LCM of 3758 and 3756 is associative

LCM of 3756 and 3758 = LCM of 3758 and 3756

Related Least Common Multiples of 3756

Related Least Common Multiples of 3758

Frequently Asked Questions on LCM of 3756 and 3758

1. What is the LCM of 3756 and 3758?

Answer: LCM of 3756 and 3758 is 7057524.

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 3758?

Answer: Factors of 3758 are 1, 2, 1879, 3758. There are 4 integers that are factors of 3758. The greatest factor of 3758 is 3758.

4. How to Find the LCM of 3756 and 3758?

Answer:

Least Common Multiple of 3756 and 3758 = 7057524

Step 1: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 3758

3758 = 2 x 1879

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

LCM = 7057524 = 2 x 2 x 3 x 313 x 1879

Step 4: Therefore, the least common multiple of 3756 and 3758 is 7057524.