Least Common Multiple of 3770 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 3770 and 3777 the smallest integer that is 14239290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3770 and 3777 is 14239290.

LCM(3770,3777) = 14239290

LCM of 3770 and 3777

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

LCM of:
and

Least Common Multiple of 3770 and 3777

LCM of 3770 and 3777 is 14239290

Least common multiple can be found by multiplying the highest exponent prime factors of 3770 and 3777. First we will calculate the prime factors of 3770 and 3777.

Prime Factorization of 3770


2 3770
5 1885
13 377
29 29
1

Prime factors of 3770 are 2, 5, 13,29. Prime factorization of 3770 in exponential form is:

3770 = 21×51×131×291

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 3770 and 3777.

LCM(3770,3777) = 21×31×51×131×291×12591
LCM(3770,3777) = 14239290

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770

Factors of 3777

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

1, 3, 1259, 3777

Least Common Multiple of 3770 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 3770 and 3777, than apply into the LCM equation.

GCF(3770,3777) = 1
LCM(3770,3777) = ( 3770 × 3777) / 1
LCM(3770,3777) = 14239290 / 1
LCM(3770,3777) = 14239290

Properties of LCM 3770 and 3777

(i) The LCM of 3777 and 3770 is associative

LCM of 3770 and 3777 = LCM of 3777 and 3770

Related Least Common Multiples of 3770

Related Least Common Multiples of 3777

Frequently Asked Questions on LCM of 3770 and 3777

1. What is the LCM of 3770 and 3777?

Answer: LCM of 3770 and 3777 is 14239290.

2. What are the Factors of 3770?

Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.

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 3770 and 3777?

Answer:

Least Common Multiple of 3770 and 3777 = 14239290

Step 1: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

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 = 14239290 = 2 x 3 x 5 x 13 x 29 x 1259

Step 4: Therefore, the least common multiple of 3770 and 3777 is 14239290.