Least Common Multiple of 3774 and 3775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3774 and 3775 the smallest integer that is 14246850 that is divisible by both numbers.

Least Common Multiple (LCM) of 3774 and 3775 is 14246850.

LCM(3774,3775) = 14246850

LCM of 3774 and 3775

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

LCM of:
and

Least Common Multiple of 3774 and 3775

LCM of 3774 and 3775 is 14246850

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3775. First we will calculate the prime factors of 3774 and 3775.

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

Prime Factorization of 3775


5 3775
5 755
151 151
1

Prime factors of 3775 are 5,151. Prime factorization of 3775 in exponential form is:

3775 = 52×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3775.

LCM(3774,3775) = 21×31×52×171×371×1511
LCM(3774,3775) = 14246850

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

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1, 5, 25, 151, 755, 3775

Least Common Multiple of 3774 and 3775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3774 and 3775, than apply into the LCM equation.

GCF(3774,3775) = 1
LCM(3774,3775) = ( 3774 × 3775) / 1
LCM(3774,3775) = 14246850 / 1
LCM(3774,3775) = 14246850

Properties of LCM 3774 and 3775

(i) The LCM of 3775 and 3774 is associative

LCM of 3774 and 3775 = LCM of 3775 and 3774

Related Least Common Multiples of 3774

Related Least Common Multiples of 3775

Frequently Asked Questions on LCM of 3774 and 3775

1. What is the LCM of 3774 and 3775?

Answer: LCM of 3774 and 3775 is 14246850.

2. 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.

3. What are the Factors of 3775?

Answer: Factors of 3775 are 1, 5, 25, 151, 755, 3775. There are 6 integers that are factors of 3775. The greatest factor of 3775 is 3775.

4. How to Find the LCM of 3774 and 3775?

Answer:

Least Common Multiple of 3774 and 3775 = 14246850

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3775

3775 = 5 x 5 x 151

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

LCM = 14246850 = 2 x 3 x 5 x 5 x 17 x 37 x 151

Step 4: Therefore, the least common multiple of 3774 and 3775 is 14246850.