Least Common Multiple of 3768 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 3768 and 3773 the smallest integer that is 14216664 that is divisible by both numbers.

Least Common Multiple (LCM) of 3768 and 3773 is 14216664.

LCM(3768,3773) = 14216664

LCM of 3768 and 3773

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

LCM of:
and

Least Common Multiple of 3768 and 3773

LCM of 3768 and 3773 is 14216664

Least common multiple can be found by multiplying the highest exponent prime factors of 3768 and 3773. First we will calculate the prime factors of 3768 and 3773.

Prime Factorization of 3768


2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 3768 are 2, 3,157. Prime factorization of 3768 in exponential form is:

3768 = 23×31×1571

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 3768 and 3773.

LCM(3768,3773) = 23×31×73×111×1571
LCM(3768,3773) = 14216664

Factors of 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

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 3768 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 3768 and 3773, than apply into the LCM equation.

GCF(3768,3773) = 1
LCM(3768,3773) = ( 3768 × 3773) / 1
LCM(3768,3773) = 14216664 / 1
LCM(3768,3773) = 14216664

Properties of LCM 3768 and 3773

(i) The LCM of 3773 and 3768 is associative

LCM of 3768 and 3773 = LCM of 3773 and 3768

Related Least Common Multiples of 3768

Related Least Common Multiples of 3773

Frequently Asked Questions on LCM of 3768 and 3773

1. What is the LCM of 3768 and 3773?

Answer: LCM of 3768 and 3773 is 14216664.

2. What are the Factors of 3768?

Answer: Factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768. There are 16 integers that are factors of 3768. The greatest factor of 3768 is 3768.

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 3768 and 3773?

Answer:

Least Common Multiple of 3768 and 3773 = 14216664

Step 1: Find the prime factorization of 3768

3768 = 2 x 2 x 2 x 3 x 157

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 = 14216664 = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 x 157

Step 4: Therefore, the least common multiple of 3768 and 3773 is 14216664.