Least Common Multiple of 3777 and 3782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3777 and 3782 the smallest integer that is 14284614 that is divisible by both numbers.

Least Common Multiple (LCM) of 3777 and 3782 is 14284614.

LCM(3777,3782) = 14284614

LCM of 3777 and 3782

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

LCM of:
and

Least Common Multiple of 3777 and 3782

LCM of 3777 and 3782 is 14284614

Least common multiple can be found by multiplying the highest exponent prime factors of 3777 and 3782. First we will calculate the prime factors of 3777 and 3782.

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

Prime Factorization of 3782


2 3782
31 1891
61 61
1

Prime factors of 3782 are 2, 31,61. Prime factorization of 3782 in exponential form is:

3782 = 21×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3777 and 3782.

LCM(3777,3782) = 21×31×311×611×12591
LCM(3777,3782) = 14284614

Factors of 3777

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

1, 3, 1259, 3777

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1, 2, 31, 61, 62, 122, 1891, 3782

Least Common Multiple of 3777 and 3782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3777 and 3782, than apply into the LCM equation.

GCF(3777,3782) = 1
LCM(3777,3782) = ( 3777 × 3782) / 1
LCM(3777,3782) = 14284614 / 1
LCM(3777,3782) = 14284614

Properties of LCM 3777 and 3782

(i) The LCM of 3782 and 3777 is associative

LCM of 3777 and 3782 = LCM of 3782 and 3777

Related Least Common Multiples of 3777

Related Least Common Multiples of 3782

Frequently Asked Questions on LCM of 3777 and 3782

1. What is the LCM of 3777 and 3782?

Answer: LCM of 3777 and 3782 is 14284614.

2. 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.

3. What are the Factors of 3782?

Answer: Factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782. There are 8 integers that are factors of 3782. The greatest factor of 3782 is 3782.

4. How to Find the LCM of 3777 and 3782?

Answer:

Least Common Multiple of 3777 and 3782 = 14284614

Step 1: Find the prime factorization of 3777

3777 = 3 x 1259

Step 2: Find the prime factorization of 3782

3782 = 2 x 31 x 61

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

LCM = 14284614 = 2 x 3 x 31 x 61 x 1259

Step 4: Therefore, the least common multiple of 3777 and 3782 is 14284614.