Least Common Multiple of 3760 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 3760 and 3764 the smallest integer that is 3538160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3760 and 3764 is 3538160.

LCM(3760,3764) = 3538160

LCM of 3760 and 3764

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

LCM of:
and

Least Common Multiple of 3760 and 3764

LCM of 3760 and 3764 is 3538160

Least common multiple can be found by multiplying the highest exponent prime factors of 3760 and 3764. First we will calculate the prime factors of 3760 and 3764.

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

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 3760 and 3764.

LCM(3760,3764) = 24×51×471×9411
LCM(3760,3764) = 3538160

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

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 3760 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 3760 and 3764, than apply into the LCM equation.

GCF(3760,3764) = 4
LCM(3760,3764) = ( 3760 × 3764) / 4
LCM(3760,3764) = 14152640 / 4
LCM(3760,3764) = 3538160

Properties of LCM 3760 and 3764

(i) The LCM of 3764 and 3760 is associative

LCM of 3760 and 3764 = LCM of 3764 and 3760

Related Least Common Multiples of 3760

Related Least Common Multiples of 3764

Frequently Asked Questions on LCM of 3760 and 3764

1. What is the LCM of 3760 and 3764?

Answer: LCM of 3760 and 3764 is 3538160.

2. 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.

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 3760 and 3764?

Answer:

Least Common Multiple of 3760 and 3764 = 3538160

Step 1: Find the prime factorization of 3760

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

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 = 3538160 = 2 x 2 x 2 x 2 x 5 x 47 x 941

Step 4: Therefore, the least common multiple of 3760 and 3764 is 3538160.