Least Common Multiple of 3767 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 3767 and 3773 the smallest integer that is 14212891 that is divisible by both numbers.

Least Common Multiple (LCM) of 3767 and 3773 is 14212891.

LCM(3767,3773) = 14212891

LCM of 3767 and 3773

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

LCM of:
and

Least Common Multiple of 3767 and 3773

LCM of 3767 and 3773 is 14212891

Least common multiple can be found by multiplying the highest exponent prime factors of 3767 and 3773. First we will calculate the prime factors of 3767 and 3773.

Prime Factorization of 3767


3767 3767
1

Prime factors of 3767 are 3767. Prime factorization of 3767 in exponential form is:

3767 = 37671

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 3767 and 3773.

LCM(3767,3773) = 73×111×37671
LCM(3767,3773) = 14212891

Factors of 3767

List of positive integer factors of 3767 that divides 3767 without a remainder.

1, 3767

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 3767 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 3767 and 3773, than apply into the LCM equation.

GCF(3767,3773) = 1
LCM(3767,3773) = ( 3767 × 3773) / 1
LCM(3767,3773) = 14212891 / 1
LCM(3767,3773) = 14212891

Properties of LCM 3767 and 3773

(i) The LCM of 3773 and 3767 is associative

LCM of 3767 and 3773 = LCM of 3773 and 3767

Related Least Common Multiples of 3767

Related Least Common Multiples of 3773

Frequently Asked Questions on LCM of 3767 and 3773

1. What is the LCM of 3767 and 3773?

Answer: LCM of 3767 and 3773 is 14212891.

2. What are the Factors of 3767?

Answer: Factors of 3767 are 1, 3767. There are 2 integers that are factors of 3767. The greatest factor of 3767 is 3767.

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 3767 and 3773?

Answer:

Least Common Multiple of 3767 and 3773 = 14212891

Step 1: Find the prime factorization of 3767

3767 = 3767

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 = 14212891 = 7 x 7 x 7 x 11 x 3767

Step 4: Therefore, the least common multiple of 3767 and 3773 is 14212891.