Least Common Multiple of 3771 and 3777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3771 and 3777 the smallest integer that is 4747689 that is divisible by both numbers.

Least Common Multiple (LCM) of 3771 and 3777 is 4747689.

LCM(3771,3777) = 4747689

LCM of 3771 and 3777

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

LCM of:
and

Least Common Multiple of 3771 and 3777

LCM of 3771 and 3777 is 4747689

Least common multiple can be found by multiplying the highest exponent prime factors of 3771 and 3777. First we will calculate the prime factors of 3771 and 3777.

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

Prime Factorization of 3777


3 3777
1259 1259
1

Prime factors of 3777 are 3,1259. Prime factorization of 3777 in exponential form is:

3777 = 31×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 3771 and 3777.

LCM(3771,3777) = 32×4191×12591
LCM(3771,3777) = 4747689

Factors of 3771

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

1, 3, 9, 419, 1257, 3771

Factors of 3777

List of positive integer factors of 3777 that divides 3777 without a remainder.

1, 3, 1259, 3777

Least Common Multiple of 3771 and 3777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3771 and 3777, than apply into the LCM equation.

GCF(3771,3777) = 3
LCM(3771,3777) = ( 3771 × 3777) / 3
LCM(3771,3777) = 14243067 / 3
LCM(3771,3777) = 4747689

Properties of LCM 3771 and 3777

(i) The LCM of 3777 and 3771 is associative

LCM of 3771 and 3777 = LCM of 3777 and 3771

Related Least Common Multiples of 3771

Related Least Common Multiples of 3777

Frequently Asked Questions on LCM of 3771 and 3777

1. What is the LCM of 3771 and 3777?

Answer: LCM of 3771 and 3777 is 4747689.

2. 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.

3. What are the Factors of 3777?

Answer: Factors of 3777 are 1, 3, 1259, 3777. There are 4 integers that are factors of 3777. The greatest factor of 3777 is 3777.

4. How to Find the LCM of 3771 and 3777?

Answer:

Least Common Multiple of 3771 and 3777 = 4747689

Step 1: Find the prime factorization of 3771

3771 = 3 x 3 x 419

Step 2: Find the prime factorization of 3777

3777 = 3 x 1259

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

LCM = 4747689 = 3 x 3 x 419 x 1259

Step 4: Therefore, the least common multiple of 3771 and 3777 is 4747689.