Least Common Multiple of 3768 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 3768 and 3772 the smallest integer that is 3553224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3768 and 3772 is 3553224.

LCM(3768,3772) = 3553224

LCM of 3768 and 3772

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

LCM of:
and

Least Common Multiple of 3768 and 3772

LCM of 3768 and 3772 is 3553224

Least common multiple can be found by multiplying the highest exponent prime factors of 3768 and 3772. First we will calculate the prime factors of 3768 and 3772.

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 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 3768 and 3772.

LCM(3768,3772) = 23×31×231×411×1571
LCM(3768,3772) = 3553224

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 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 3768 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 3768 and 3772, than apply into the LCM equation.

GCF(3768,3772) = 4
LCM(3768,3772) = ( 3768 × 3772) / 4
LCM(3768,3772) = 14212896 / 4
LCM(3768,3772) = 3553224

Properties of LCM 3768 and 3772

(i) The LCM of 3772 and 3768 is associative

LCM of 3768 and 3772 = LCM of 3772 and 3768

Related Least Common Multiples of 3768

Related Least Common Multiples of 3772

Frequently Asked Questions on LCM of 3768 and 3772

1. What is the LCM of 3768 and 3772?

Answer: LCM of 3768 and 3772 is 3553224.

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 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 3768 and 3772?

Answer:

Least Common Multiple of 3768 and 3772 = 3553224

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 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 = 3553224 = 2 x 2 x 2 x 3 x 23 x 41 x 157

Step 4: Therefore, the least common multiple of 3768 and 3772 is 3553224.