Least Common Multiple of 3754 and 3760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3754 and 3760 the smallest integer that is 7057520 that is divisible by both numbers.

Least Common Multiple (LCM) of 3754 and 3760 is 7057520.

LCM(3754,3760) = 7057520

LCM of 3754 and 3760

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

LCM of:
and

Least Common Multiple of 3754 and 3760

LCM of 3754 and 3760 is 7057520

Least common multiple can be found by multiplying the highest exponent prime factors of 3754 and 3760. First we will calculate the prime factors of 3754 and 3760.

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

Prime Factorization of 3760


2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 3760 are 2, 5,47. Prime factorization of 3760 in exponential form is:

3760 = 24×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3754 and 3760.

LCM(3754,3760) = 24×51×471×18771
LCM(3754,3760) = 7057520

Factors of 3754

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

1, 2, 1877, 3754

Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760

Least Common Multiple of 3754 and 3760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3754 and 3760, than apply into the LCM equation.

GCF(3754,3760) = 2
LCM(3754,3760) = ( 3754 × 3760) / 2
LCM(3754,3760) = 14115040 / 2
LCM(3754,3760) = 7057520

Properties of LCM 3754 and 3760

(i) The LCM of 3760 and 3754 is associative

LCM of 3754 and 3760 = LCM of 3760 and 3754

Related Least Common Multiples of 3754

Related Least Common Multiples of 3760

Frequently Asked Questions on LCM of 3754 and 3760

1. What is the LCM of 3754 and 3760?

Answer: LCM of 3754 and 3760 is 7057520.

2. 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.

3. What are the Factors of 3760?

Answer: Factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760. There are 20 integers that are factors of 3760. The greatest factor of 3760 is 3760.

4. How to Find the LCM of 3754 and 3760?

Answer:

Least Common Multiple of 3754 and 3760 = 7057520

Step 1: Find the prime factorization of 3754

3754 = 2 x 1877

Step 2: Find the prime factorization of 3760

3760 = 2 x 2 x 2 x 2 x 5 x 47

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

LCM = 7057520 = 2 x 2 x 2 x 2 x 5 x 47 x 1877

Step 4: Therefore, the least common multiple of 3754 and 3760 is 7057520.