Least Common Multiple of 3765 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 3765 and 3772 the smallest integer that is 14201580 that is divisible by both numbers.

Least Common Multiple (LCM) of 3765 and 3772 is 14201580.

LCM(3765,3772) = 14201580

LCM of 3765 and 3772

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

LCM of:
and

Least Common Multiple of 3765 and 3772

LCM of 3765 and 3772 is 14201580

Least common multiple can be found by multiplying the highest exponent prime factors of 3765 and 3772. First we will calculate the prime factors of 3765 and 3772.

Prime Factorization of 3765


3 3765
5 1255
251 251
1

Prime factors of 3765 are 3, 5,251. Prime factorization of 3765 in exponential form is:

3765 = 31×51×2511

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 3765 and 3772.

LCM(3765,3772) = 22×31×51×231×411×2511
LCM(3765,3772) = 14201580

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1, 3, 5, 15, 251, 753, 1255, 3765

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 3765 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 3765 and 3772, than apply into the LCM equation.

GCF(3765,3772) = 1
LCM(3765,3772) = ( 3765 × 3772) / 1
LCM(3765,3772) = 14201580 / 1
LCM(3765,3772) = 14201580

Properties of LCM 3765 and 3772

(i) The LCM of 3772 and 3765 is associative

LCM of 3765 and 3772 = LCM of 3772 and 3765

Related Least Common Multiples of 3765

Related Least Common Multiples of 3772

Frequently Asked Questions on LCM of 3765 and 3772

1. What is the LCM of 3765 and 3772?

Answer: LCM of 3765 and 3772 is 14201580.

2. What are the Factors of 3765?

Answer: Factors of 3765 are 1, 3, 5, 15, 251, 753, 1255, 3765. There are 8 integers that are factors of 3765. The greatest factor of 3765 is 3765.

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 3765 and 3772?

Answer:

Least Common Multiple of 3765 and 3772 = 14201580

Step 1: Find the prime factorization of 3765

3765 = 3 x 5 x 251

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 = 14201580 = 2 x 2 x 3 x 5 x 23 x 41 x 251

Step 4: Therefore, the least common multiple of 3765 and 3772 is 14201580.