Least Common Multiple of 3769 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 3769 and 3777 the smallest integer that is 14235513 that is divisible by both numbers.

Least Common Multiple (LCM) of 3769 and 3777 is 14235513.

LCM(3769,3777) = 14235513

LCM of 3769 and 3777

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

LCM of:
and

Least Common Multiple of 3769 and 3777

LCM of 3769 and 3777 is 14235513

Least common multiple can be found by multiplying the highest exponent prime factors of 3769 and 3777. First we will calculate the prime factors of 3769 and 3777.

Prime Factorization of 3769


3769 3769
1

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 37691

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 3769 and 3777.

LCM(3769,3777) = 31×12591×37691
LCM(3769,3777) = 14235513

Factors of 3769

List of positive integer factors of 3769 that divides 3769 without a remainder.

1, 3769

Factors of 3777

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

1, 3, 1259, 3777

Least Common Multiple of 3769 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 3769 and 3777, than apply into the LCM equation.

GCF(3769,3777) = 1
LCM(3769,3777) = ( 3769 × 3777) / 1
LCM(3769,3777) = 14235513 / 1
LCM(3769,3777) = 14235513

Properties of LCM 3769 and 3777

(i) The LCM of 3777 and 3769 is associative

LCM of 3769 and 3777 = LCM of 3777 and 3769

Related Least Common Multiples of 3769

Related Least Common Multiples of 3777

Frequently Asked Questions on LCM of 3769 and 3777

1. What is the LCM of 3769 and 3777?

Answer: LCM of 3769 and 3777 is 14235513.

2. What are the Factors of 3769?

Answer: Factors of 3769 are 1, 3769. There are 2 integers that are factors of 3769. The greatest factor of 3769 is 3769.

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 3769 and 3777?

Answer:

Least Common Multiple of 3769 and 3777 = 14235513

Step 1: Find the prime factorization of 3769

3769 = 3769

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 = 14235513 = 3 x 1259 x 3769

Step 4: Therefore, the least common multiple of 3769 and 3777 is 14235513.