Least Common Multiple of 3762 and 3765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3762 and 3765 the smallest integer that is 4721310 that is divisible by both numbers.

Least Common Multiple (LCM) of 3762 and 3765 is 4721310.

LCM(3762,3765) = 4721310

LCM of 3762 and 3765

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

LCM of:
and

Least Common Multiple of 3762 and 3765

LCM of 3762 and 3765 is 4721310

Least common multiple can be found by multiplying the highest exponent prime factors of 3762 and 3765. First we will calculate the prime factors of 3762 and 3765.

Prime Factorization of 3762


2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 3762 are 2, 3, 11,19. Prime factorization of 3762 in exponential form is:

3762 = 21×32×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3762 and 3765.

LCM(3762,3765) = 21×32×51×111×191×2511
LCM(3762,3765) = 4721310

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762

Factors of 3765

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

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

Least Common Multiple of 3762 and 3765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3762 and 3765, than apply into the LCM equation.

GCF(3762,3765) = 3
LCM(3762,3765) = ( 3762 × 3765) / 3
LCM(3762,3765) = 14163930 / 3
LCM(3762,3765) = 4721310

Properties of LCM 3762 and 3765

(i) The LCM of 3765 and 3762 is associative

LCM of 3762 and 3765 = LCM of 3765 and 3762

Related Least Common Multiples of 3762

Related Least Common Multiples of 3765

Frequently Asked Questions on LCM of 3762 and 3765

1. What is the LCM of 3762 and 3765?

Answer: LCM of 3762 and 3765 is 4721310.

2. What are the Factors of 3762?

Answer: Factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762. There are 24 integers that are factors of 3762. The greatest factor of 3762 is 3762.

3. 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.

4. How to Find the LCM of 3762 and 3765?

Answer:

Least Common Multiple of 3762 and 3765 = 4721310

Step 1: Find the prime factorization of 3762

3762 = 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 3765

3765 = 3 x 5 x 251

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

LCM = 4721310 = 2 x 3 x 3 x 5 x 11 x 19 x 251

Step 4: Therefore, the least common multiple of 3762 and 3765 is 4721310.