Least Common Multiple of 3760 and 3768

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 3768 the smallest integer that is 1770960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3760 and 3768 is 1770960.

LCM(3760,3768) = 1770960

LCM of 3760 and 3768

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

LCM of:
and

Least Common Multiple of 3760 and 3768

LCM of 3760 and 3768 is 1770960

Least common multiple can be found by multiplying the highest exponent prime factors of 3760 and 3768. First we will calculate the prime factors of 3760 and 3768.

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 3768


2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 3768 are 2, 3,157. Prime factorization of 3768 in exponential form is:

3768 = 23×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3760 and 3768.

LCM(3760,3768) = 24×31×51×471×1571
LCM(3760,3768) = 1770960

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 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

Least Common Multiple of 3760 and 3768 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 3768, than apply into the LCM equation.

GCF(3760,3768) = 8
LCM(3760,3768) = ( 3760 × 3768) / 8
LCM(3760,3768) = 14167680 / 8
LCM(3760,3768) = 1770960

Properties of LCM 3760 and 3768

(i) The LCM of 3768 and 3760 is associative

LCM of 3760 and 3768 = LCM of 3768 and 3760

Related Least Common Multiples of 3760

Related Least Common Multiples of 3768

Frequently Asked Questions on LCM of 3760 and 3768

1. What is the LCM of 3760 and 3768?

Answer: LCM of 3760 and 3768 is 1770960.

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 3768?

Answer: Factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768. There are 16 integers that are factors of 3768. The greatest factor of 3768 is 3768.

4. How to Find the LCM of 3760 and 3768?

Answer:

Least Common Multiple of 3760 and 3768 = 1770960

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 3768

3768 = 2 x 2 x 2 x 3 x 157

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

LCM = 1770960 = 2 x 2 x 2 x 2 x 3 x 5 x 47 x 157

Step 4: Therefore, the least common multiple of 3760 and 3768 is 1770960.