Least Common Multiple of 3770 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 3770 and 3774 the smallest integer that is 7113990 that is divisible by both numbers.

Least Common Multiple (LCM) of 3770 and 3774 is 7113990.

LCM(3770,3774) = 7113990

LCM of 3770 and 3774

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

LCM of:
and

Least Common Multiple of 3770 and 3774

LCM of 3770 and 3774 is 7113990

Least common multiple can be found by multiplying the highest exponent prime factors of 3770 and 3774. First we will calculate the prime factors of 3770 and 3774.

Prime Factorization of 3770


2 3770
5 1885
13 377
29 29
1

Prime factors of 3770 are 2, 5, 13,29. Prime factorization of 3770 in exponential form is:

3770 = 21×51×131×291

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 3770 and 3774.

LCM(3770,3774) = 21×31×51×131×171×291×371
LCM(3770,3774) = 7113990

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770

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 3770 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 3770 and 3774, than apply into the LCM equation.

GCF(3770,3774) = 2
LCM(3770,3774) = ( 3770 × 3774) / 2
LCM(3770,3774) = 14227980 / 2
LCM(3770,3774) = 7113990

Properties of LCM 3770 and 3774

(i) The LCM of 3774 and 3770 is associative

LCM of 3770 and 3774 = LCM of 3774 and 3770

Related Least Common Multiples of 3770

Related Least Common Multiples of 3774

Frequently Asked Questions on LCM of 3770 and 3774

1. What is the LCM of 3770 and 3774?

Answer: LCM of 3770 and 3774 is 7113990.

2. What are the Factors of 3770?

Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.

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 3770 and 3774?

Answer:

Least Common Multiple of 3770 and 3774 = 7113990

Step 1: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

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 = 7113990 = 2 x 3 x 5 x 13 x 17 x 29 x 37

Step 4: Therefore, the least common multiple of 3770 and 3774 is 7113990.