Least Common Multiple of 3727 and 3735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3727 and 3735 the smallest integer that is 13920345 that is divisible by both numbers.

Least Common Multiple (LCM) of 3727 and 3735 is 13920345.

LCM(3727,3735) = 13920345

LCM of 3727 and 3735

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

LCM of:
and

Least Common Multiple of 3727 and 3735

LCM of 3727 and 3735 is 13920345

Least common multiple can be found by multiplying the highest exponent prime factors of 3727 and 3735. First we will calculate the prime factors of 3727 and 3735.

Prime Factorization of 3727


3727 3727
1

Prime factors of 3727 are 3727. Prime factorization of 3727 in exponential form is:

3727 = 37271

Prime Factorization of 3735


3 3735
3 1245
5 415
83 83
1

Prime factors of 3735 are 3, 5,83. Prime factorization of 3735 in exponential form is:

3735 = 32×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3727 and 3735.

LCM(3727,3735) = 32×51×831×37271
LCM(3727,3735) = 13920345

Factors of 3727

List of positive integer factors of 3727 that divides 3727 without a remainder.

1, 3727

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735

Least Common Multiple of 3727 and 3735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3727 and 3735, than apply into the LCM equation.

GCF(3727,3735) = 1
LCM(3727,3735) = ( 3727 × 3735) / 1
LCM(3727,3735) = 13920345 / 1
LCM(3727,3735) = 13920345

Properties of LCM 3727 and 3735

(i) The LCM of 3735 and 3727 is associative

LCM of 3727 and 3735 = LCM of 3735 and 3727

Related Least Common Multiples of 3727

Related Least Common Multiples of 3735

Frequently Asked Questions on LCM of 3727 and 3735

1. What is the LCM of 3727 and 3735?

Answer: LCM of 3727 and 3735 is 13920345.

2. What are the Factors of 3727?

Answer: Factors of 3727 are 1, 3727. There are 2 integers that are factors of 3727. The greatest factor of 3727 is 3727.

3. What are the Factors of 3735?

Answer: Factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735. There are 12 integers that are factors of 3735. The greatest factor of 3735 is 3735.

4. How to Find the LCM of 3727 and 3735?

Answer:

Least Common Multiple of 3727 and 3735 = 13920345

Step 1: Find the prime factorization of 3727

3727 = 3727

Step 2: Find the prime factorization of 3735

3735 = 3 x 3 x 5 x 83

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

LCM = 13920345 = 3 x 3 x 5 x 83 x 3727

Step 4: Therefore, the least common multiple of 3727 and 3735 is 13920345.