Least Common Multiple of 3750 and 3754

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 3754 the smallest integer that is 7038750 that is divisible by both numbers.

Least Common Multiple (LCM) of 3750 and 3754 is 7038750.

LCM(3750,3754) = 7038750

LCM of 3750 and 3754

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

LCM of:
and

Least Common Multiple of 3750 and 3754

LCM of 3750 and 3754 is 7038750

Least common multiple can be found by multiplying the highest exponent prime factors of 3750 and 3754. First we will calculate the prime factors of 3750 and 3754.

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 3754


2 3754
1877 1877
1

Prime factors of 3754 are 2,1877. Prime factorization of 3754 in exponential form is:

3754 = 21×18771

Now multiplying the highest exponent prime factors to calculate the LCM of 3750 and 3754.

LCM(3750,3754) = 21×31×54×18771
LCM(3750,3754) = 7038750

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 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1, 2, 1877, 3754

Least Common Multiple of 3750 and 3754 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 3754, than apply into the LCM equation.

GCF(3750,3754) = 2
LCM(3750,3754) = ( 3750 × 3754) / 2
LCM(3750,3754) = 14077500 / 2
LCM(3750,3754) = 7038750

Properties of LCM 3750 and 3754

(i) The LCM of 3754 and 3750 is associative

LCM of 3750 and 3754 = LCM of 3754 and 3750

Related Least Common Multiples of 3750

Related Least Common Multiples of 3754

Frequently Asked Questions on LCM of 3750 and 3754

1. What is the LCM of 3750 and 3754?

Answer: LCM of 3750 and 3754 is 7038750.

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 3754?

Answer: Factors of 3754 are 1, 2, 1877, 3754. There are 4 integers that are factors of 3754. The greatest factor of 3754 is 3754.

4. How to Find the LCM of 3750 and 3754?

Answer:

Least Common Multiple of 3750 and 3754 = 7038750

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 3754

3754 = 2 x 1877

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

LCM = 7038750 = 2 x 3 x 5 x 5 x 5 x 5 x 1877

Step 4: Therefore, the least common multiple of 3750 and 3754 is 7038750.