Least Common Multiple of 3769 and 3773

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 3773 the smallest integer that is 14220437 that is divisible by both numbers.

Least Common Multiple (LCM) of 3769 and 3773 is 14220437.

LCM(3769,3773) = 14220437

LCM of 3769 and 3773

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

LCM of:
and

Least Common Multiple of 3769 and 3773

LCM of 3769 and 3773 is 14220437

Least common multiple can be found by multiplying the highest exponent prime factors of 3769 and 3773. First we will calculate the prime factors of 3769 and 3773.

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 3773


7 3773
7 539
7 77
11 11
1

Prime factors of 3773 are 7,11. Prime factorization of 3773 in exponential form is:

3773 = 73×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3769 and 3773.

LCM(3769,3773) = 73×111×37691
LCM(3769,3773) = 14220437

Factors of 3769

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

1, 3769

Factors of 3773

List of positive integer factors of 3773 that divides 3773 without a remainder.

1, 7, 11, 49, 77, 343, 539, 3773

Least Common Multiple of 3769 and 3773 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 3773, than apply into the LCM equation.

GCF(3769,3773) = 1
LCM(3769,3773) = ( 3769 × 3773) / 1
LCM(3769,3773) = 14220437 / 1
LCM(3769,3773) = 14220437

Properties of LCM 3769 and 3773

(i) The LCM of 3773 and 3769 is associative

LCM of 3769 and 3773 = LCM of 3773 and 3769

Related Least Common Multiples of 3769

Related Least Common Multiples of 3773

Frequently Asked Questions on LCM of 3769 and 3773

1. What is the LCM of 3769 and 3773?

Answer: LCM of 3769 and 3773 is 14220437.

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 3773?

Answer: Factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773. There are 8 integers that are factors of 3773. The greatest factor of 3773 is 3773.

4. How to Find the LCM of 3769 and 3773?

Answer:

Least Common Multiple of 3769 and 3773 = 14220437

Step 1: Find the prime factorization of 3769

3769 = 3769

Step 2: Find the prime factorization of 3773

3773 = 7 x 7 x 7 x 11

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

LCM = 14220437 = 7 x 7 x 7 x 11 x 3769

Step 4: Therefore, the least common multiple of 3769 and 3773 is 14220437.