Least Common Multiple of 3768 and 3774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3768 and 3774 the smallest integer that is 2370072 that is divisible by both numbers.

Least Common Multiple (LCM) of 3768 and 3774 is 2370072.

LCM(3768,3774) = 2370072

LCM of 3768 and 3774

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

LCM of:
and

Least Common Multiple of 3768 and 3774

LCM of 3768 and 3774 is 2370072

Least common multiple can be found by multiplying the highest exponent prime factors of 3768 and 3774. First we will calculate the prime factors of 3768 and 3774.

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

Prime Factorization of 3774


2 3774
3 1887
17 629
37 37
1

Prime factors of 3774 are 2, 3, 17,37. Prime factorization of 3774 in exponential form is:

3774 = 21×31×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3768 and 3774.

LCM(3768,3774) = 23×31×171×371×1571
LCM(3768,3774) = 2370072

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

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774

Least Common Multiple of 3768 and 3774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3768 and 3774, than apply into the LCM equation.

GCF(3768,3774) = 6
LCM(3768,3774) = ( 3768 × 3774) / 6
LCM(3768,3774) = 14220432 / 6
LCM(3768,3774) = 2370072

Properties of LCM 3768 and 3774

(i) The LCM of 3774 and 3768 is associative

LCM of 3768 and 3774 = LCM of 3774 and 3768

Related Least Common Multiples of 3768

Related Least Common Multiples of 3774

Frequently Asked Questions on LCM of 3768 and 3774

1. What is the LCM of 3768 and 3774?

Answer: LCM of 3768 and 3774 is 2370072.

2. 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.

3. What are the Factors of 3774?

Answer: Factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774. There are 16 integers that are factors of 3774. The greatest factor of 3774 is 3774.

4. How to Find the LCM of 3768 and 3774?

Answer:

Least Common Multiple of 3768 and 3774 = 2370072

Step 1: Find the prime factorization of 3768

3768 = 2 x 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

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

LCM = 2370072 = 2 x 2 x 2 x 3 x 17 x 37 x 157

Step 4: Therefore, the least common multiple of 3768 and 3774 is 2370072.