Least Common Multiple of 3766 and 3771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3766 and 3771 the smallest integer that is 14201586 that is divisible by both numbers.

Least Common Multiple (LCM) of 3766 and 3771 is 14201586.

LCM(3766,3771) = 14201586

LCM of 3766 and 3771

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

LCM of:
and

Least Common Multiple of 3766 and 3771

LCM of 3766 and 3771 is 14201586

Least common multiple can be found by multiplying the highest exponent prime factors of 3766 and 3771. First we will calculate the prime factors of 3766 and 3771.

Prime Factorization of 3766


2 3766
7 1883
269 269
1

Prime factors of 3766 are 2, 7,269. Prime factorization of 3766 in exponential form is:

3766 = 21×71×2691

Prime Factorization of 3771


3 3771
3 1257
419 419
1

Prime factors of 3771 are 3,419. Prime factorization of 3771 in exponential form is:

3771 = 32×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 3766 and 3771.

LCM(3766,3771) = 21×32×71×2691×4191
LCM(3766,3771) = 14201586

Factors of 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1, 2, 7, 14, 269, 538, 1883, 3766

Factors of 3771

List of positive integer factors of 3771 that divides 3771 without a remainder.

1, 3, 9, 419, 1257, 3771

Least Common Multiple of 3766 and 3771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3766 and 3771, than apply into the LCM equation.

GCF(3766,3771) = 1
LCM(3766,3771) = ( 3766 × 3771) / 1
LCM(3766,3771) = 14201586 / 1
LCM(3766,3771) = 14201586

Properties of LCM 3766 and 3771

(i) The LCM of 3771 and 3766 is associative

LCM of 3766 and 3771 = LCM of 3771 and 3766

Related Least Common Multiples of 3766

Related Least Common Multiples of 3771

Frequently Asked Questions on LCM of 3766 and 3771

1. What is the LCM of 3766 and 3771?

Answer: LCM of 3766 and 3771 is 14201586.

2. What are the Factors of 3766?

Answer: Factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766. There are 8 integers that are factors of 3766. The greatest factor of 3766 is 3766.

3. What are the Factors of 3771?

Answer: Factors of 3771 are 1, 3, 9, 419, 1257, 3771. There are 6 integers that are factors of 3771. The greatest factor of 3771 is 3771.

4. How to Find the LCM of 3766 and 3771?

Answer:

Least Common Multiple of 3766 and 3771 = 14201586

Step 1: Find the prime factorization of 3766

3766 = 2 x 7 x 269

Step 2: Find the prime factorization of 3771

3771 = 3 x 3 x 419

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

LCM = 14201586 = 2 x 3 x 3 x 7 x 269 x 419

Step 4: Therefore, the least common multiple of 3766 and 3771 is 14201586.