Least Common Multiple of 3768 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 3768 and 3771 the smallest integer that is 4736376 that is divisible by both numbers.

Least Common Multiple (LCM) of 3768 and 3771 is 4736376.

LCM(3768,3771) = 4736376

LCM of 3768 and 3771

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

LCM of:
and

Least Common Multiple of 3768 and 3771

LCM of 3768 and 3771 is 4736376

Least common multiple can be found by multiplying the highest exponent prime factors of 3768 and 3771. First we will calculate the prime factors of 3768 and 3771.

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 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 3768 and 3771.

LCM(3768,3771) = 23×32×1571×4191
LCM(3768,3771) = 4736376

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 3771

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

1, 3, 9, 419, 1257, 3771

Least Common Multiple of 3768 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 3768 and 3771, than apply into the LCM equation.

GCF(3768,3771) = 3
LCM(3768,3771) = ( 3768 × 3771) / 3
LCM(3768,3771) = 14209128 / 3
LCM(3768,3771) = 4736376

Properties of LCM 3768 and 3771

(i) The LCM of 3771 and 3768 is associative

LCM of 3768 and 3771 = LCM of 3771 and 3768

Related Least Common Multiples of 3768

Related Least Common Multiples of 3771

Frequently Asked Questions on LCM of 3768 and 3771

1. What is the LCM of 3768 and 3771?

Answer: LCM of 3768 and 3771 is 4736376.

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 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 3768 and 3771?

Answer:

Least Common Multiple of 3768 and 3771 = 4736376

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 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 = 4736376 = 2 x 2 x 2 x 3 x 3 x 157 x 419

Step 4: Therefore, the least common multiple of 3768 and 3771 is 4736376.