Least Common Multiple of 3761 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 3761 and 3765 the smallest integer that is 14160165 that is divisible by both numbers.

Least Common Multiple (LCM) of 3761 and 3765 is 14160165.

LCM(3761,3765) = 14160165

LCM of 3761 and 3765

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

LCM of:
and

Least Common Multiple of 3761 and 3765

LCM of 3761 and 3765 is 14160165

Least common multiple can be found by multiplying the highest exponent prime factors of 3761 and 3765. First we will calculate the prime factors of 3761 and 3765.

Prime Factorization of 3761


3761 3761
1

Prime factors of 3761 are 3761. Prime factorization of 3761 in exponential form is:

3761 = 37611

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 3761 and 3765.

LCM(3761,3765) = 31×51×2511×37611
LCM(3761,3765) = 14160165

Factors of 3761

List of positive integer factors of 3761 that divides 3761 without a remainder.

1, 3761

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 3761 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 3761 and 3765, than apply into the LCM equation.

GCF(3761,3765) = 1
LCM(3761,3765) = ( 3761 × 3765) / 1
LCM(3761,3765) = 14160165 / 1
LCM(3761,3765) = 14160165

Properties of LCM 3761 and 3765

(i) The LCM of 3765 and 3761 is associative

LCM of 3761 and 3765 = LCM of 3765 and 3761

Related Least Common Multiples of 3761

Related Least Common Multiples of 3765

Frequently Asked Questions on LCM of 3761 and 3765

1. What is the LCM of 3761 and 3765?

Answer: LCM of 3761 and 3765 is 14160165.

2. What are the Factors of 3761?

Answer: Factors of 3761 are 1, 3761. There are 2 integers that are factors of 3761. The greatest factor of 3761 is 3761.

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 3761 and 3765?

Answer:

Least Common Multiple of 3761 and 3765 = 14160165

Step 1: Find the prime factorization of 3761

3761 = 3761

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 = 14160165 = 3 x 5 x 251 x 3761

Step 4: Therefore, the least common multiple of 3761 and 3765 is 14160165.