Least Common Multiple of 3760 and 3767

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 3767 the smallest integer that is 14163920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3760 and 3767 is 14163920.

LCM(3760,3767) = 14163920

LCM of 3760 and 3767

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

LCM of:
and

Least Common Multiple of 3760 and 3767

LCM of 3760 and 3767 is 14163920

Least common multiple can be found by multiplying the highest exponent prime factors of 3760 and 3767. First we will calculate the prime factors of 3760 and 3767.

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 3767


3767 3767
1

Prime factors of 3767 are 3767. Prime factorization of 3767 in exponential form is:

3767 = 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 3760 and 3767.

LCM(3760,3767) = 24×51×471×37671
LCM(3760,3767) = 14163920

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 3767

List of positive integer factors of 3767 that divides 3767 without a remainder.

1, 3767

Least Common Multiple of 3760 and 3767 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 3767, than apply into the LCM equation.

GCF(3760,3767) = 1
LCM(3760,3767) = ( 3760 × 3767) / 1
LCM(3760,3767) = 14163920 / 1
LCM(3760,3767) = 14163920

Properties of LCM 3760 and 3767

(i) The LCM of 3767 and 3760 is associative

LCM of 3760 and 3767 = LCM of 3767 and 3760

Related Least Common Multiples of 3760

Related Least Common Multiples of 3767

Frequently Asked Questions on LCM of 3760 and 3767

1. What is the LCM of 3760 and 3767?

Answer: LCM of 3760 and 3767 is 14163920.

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 3767?

Answer: Factors of 3767 are 1, 3767. There are 2 integers that are factors of 3767. The greatest factor of 3767 is 3767.

4. How to Find the LCM of 3760 and 3767?

Answer:

Least Common Multiple of 3760 and 3767 = 14163920

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 3767

3767 = 3767

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

LCM = 14163920 = 2 x 2 x 2 x 2 x 5 x 47 x 3767

Step 4: Therefore, the least common multiple of 3760 and 3767 is 14163920.