Least Common Multiple of 3750 and 3756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3750 and 3756 the smallest integer that is 2347500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3750 and 3756 is 2347500.

LCM(3750,3756) = 2347500

LCM of 3750 and 3756

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

LCM of:
and

Least Common Multiple of 3750 and 3756

LCM of 3750 and 3756 is 2347500

Least common multiple can be found by multiplying the highest exponent prime factors of 3750 and 3756. First we will calculate the prime factors of 3750 and 3756.

Prime Factorization of 3750


2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 3750 are 2, 3,5. Prime factorization of 3750 in exponential form is:

3750 = 21×31×54

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3750 and 3756.

LCM(3750,3756) = 22×31×54×3131
LCM(3750,3756) = 2347500

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750

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

Least Common Multiple of 3750 and 3756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3750 and 3756, than apply into the LCM equation.

GCF(3750,3756) = 6
LCM(3750,3756) = ( 3750 × 3756) / 6
LCM(3750,3756) = 14085000 / 6
LCM(3750,3756) = 2347500

Properties of LCM 3750 and 3756

(i) The LCM of 3756 and 3750 is associative

LCM of 3750 and 3756 = LCM of 3756 and 3750

Related Least Common Multiples of 3750

Related Least Common Multiples of 3756

Frequently Asked Questions on LCM of 3750 and 3756

1. What is the LCM of 3750 and 3756?

Answer: LCM of 3750 and 3756 is 2347500.

2. What are the Factors of 3750?

Answer: Factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750. There are 20 integers that are factors of 3750. The greatest factor of 3750 is 3750.

3. 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.

4. How to Find the LCM of 3750 and 3756?

Answer:

Least Common Multiple of 3750 and 3756 = 2347500

Step 1: Find the prime factorization of 3750

3750 = 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

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

LCM = 2347500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 313

Step 4: Therefore, the least common multiple of 3750 and 3756 is 2347500.