Least Common Multiple of 3766 and 3772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3766 and 3772 the smallest integer that is 7102676 that is divisible by both numbers.

Least Common Multiple (LCM) of 3766 and 3772 is 7102676.

LCM(3766,3772) = 7102676

LCM of 3766 and 3772

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

LCM of:
and

Least Common Multiple of 3766 and 3772

LCM of 3766 and 3772 is 7102676

Least common multiple can be found by multiplying the highest exponent prime factors of 3766 and 3772. First we will calculate the prime factors of 3766 and 3772.

Prime Factorization of 3766


2 3766
7 1883
269 269
1

Prime factors of 3766 are 2, 7,269. Prime factorization of 3766 in exponential form is:

3766 = 21×71×2691

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2, 23,41. Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3766 and 3772.

LCM(3766,3772) = 22×71×231×411×2691
LCM(3766,3772) = 7102676

Factors of 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1, 2, 7, 14, 269, 538, 1883, 3766

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

Least Common Multiple of 3766 and 3772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3766 and 3772, than apply into the LCM equation.

GCF(3766,3772) = 2
LCM(3766,3772) = ( 3766 × 3772) / 2
LCM(3766,3772) = 14205352 / 2
LCM(3766,3772) = 7102676

Properties of LCM 3766 and 3772

(i) The LCM of 3772 and 3766 is associative

LCM of 3766 and 3772 = LCM of 3772 and 3766

Related Least Common Multiples of 3766

Related Least Common Multiples of 3772

Frequently Asked Questions on LCM of 3766 and 3772

1. What is the LCM of 3766 and 3772?

Answer: LCM of 3766 and 3772 is 7102676.

2. What are the Factors of 3766?

Answer: Factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766. There are 8 integers that are factors of 3766. The greatest factor of 3766 is 3766.

3. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

4. How to Find the LCM of 3766 and 3772?

Answer:

Least Common Multiple of 3766 and 3772 = 7102676

Step 1: Find the prime factorization of 3766

3766 = 2 x 7 x 269

Step 2: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

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

LCM = 7102676 = 2 x 2 x 7 x 23 x 41 x 269

Step 4: Therefore, the least common multiple of 3766 and 3772 is 7102676.