Least Common Multiple of 3777 and 3783

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 3783 the smallest integer that is 4762797 that is divisible by both numbers.

Least Common Multiple (LCM) of 3777 and 3783 is 4762797.

LCM(3777,3783) = 4762797

LCM of 3777 and 3783

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

LCM of:
and

Least Common Multiple of 3777 and 3783

LCM of 3777 and 3783 is 4762797

Least common multiple can be found by multiplying the highest exponent prime factors of 3777 and 3783. First we will calculate the prime factors of 3777 and 3783.

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 3783


3 3783
13 1261
97 97
1

Prime factors of 3783 are 3, 13,97. Prime factorization of 3783 in exponential form is:

3783 = 31×131×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3777 and 3783.

LCM(3777,3783) = 31×131×971×12591
LCM(3777,3783) = 4762797

Factors of 3777

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

1, 3, 1259, 3777

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1, 3, 13, 39, 97, 291, 1261, 3783

Least Common Multiple of 3777 and 3783 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 3783, than apply into the LCM equation.

GCF(3777,3783) = 3
LCM(3777,3783) = ( 3777 × 3783) / 3
LCM(3777,3783) = 14288391 / 3
LCM(3777,3783) = 4762797

Properties of LCM 3777 and 3783

(i) The LCM of 3783 and 3777 is associative

LCM of 3777 and 3783 = LCM of 3783 and 3777

Related Least Common Multiples of 3777

Related Least Common Multiples of 3783

Frequently Asked Questions on LCM of 3777 and 3783

1. What is the LCM of 3777 and 3783?

Answer: LCM of 3777 and 3783 is 4762797.

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 3783?

Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.

4. How to Find the LCM of 3777 and 3783?

Answer:

Least Common Multiple of 3777 and 3783 = 4762797

Step 1: Find the prime factorization of 3777

3777 = 3 x 1259

Step 2: Find the prime factorization of 3783

3783 = 3 x 13 x 97

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

LCM = 4762797 = 3 x 13 x 97 x 1259

Step 4: Therefore, the least common multiple of 3777 and 3783 is 4762797.