Least Common Multiple of 3772 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 3772 and 3777 the smallest integer that is 14246844 that is divisible by both numbers.

Least Common Multiple (LCM) of 3772 and 3777 is 14246844.

LCM(3772,3777) = 14246844

LCM of 3772 and 3777

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

LCM of:
and

Least Common Multiple of 3772 and 3777

LCM of 3772 and 3777 is 14246844

Least common multiple can be found by multiplying the highest exponent prime factors of 3772 and 3777. First we will calculate the prime factors of 3772 and 3777.

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2, 23,41. Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

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 3772 and 3777.

LCM(3772,3777) = 22×31×231×411×12591
LCM(3772,3777) = 14246844

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

Factors of 3777

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

1, 3, 1259, 3777

Least Common Multiple of 3772 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 3772 and 3777, than apply into the LCM equation.

GCF(3772,3777) = 1
LCM(3772,3777) = ( 3772 × 3777) / 1
LCM(3772,3777) = 14246844 / 1
LCM(3772,3777) = 14246844

Properties of LCM 3772 and 3777

(i) The LCM of 3777 and 3772 is associative

LCM of 3772 and 3777 = LCM of 3777 and 3772

Related Least Common Multiples of 3772

Related Least Common Multiples of 3777

Frequently Asked Questions on LCM of 3772 and 3777

1. What is the LCM of 3772 and 3777?

Answer: LCM of 3772 and 3777 is 14246844.

2. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

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 3772 and 3777?

Answer:

Least Common Multiple of 3772 and 3777 = 14246844

Step 1: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

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 = 14246844 = 2 x 2 x 3 x 23 x 41 x 1259

Step 4: Therefore, the least common multiple of 3772 and 3777 is 14246844.