Least Common Multiple of 3735 and 3739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3735 and 3739 the smallest integer that is 13965165 that is divisible by both numbers.

Least Common Multiple (LCM) of 3735 and 3739 is 13965165.

LCM(3735,3739) = 13965165

LCM of 3735 and 3739

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

LCM of:
and

Least Common Multiple of 3735 and 3739

LCM of 3735 and 3739 is 13965165

Least common multiple can be found by multiplying the highest exponent prime factors of 3735 and 3739. First we will calculate the prime factors of 3735 and 3739.

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

Prime Factorization of 3739


3739 3739
1

Prime factors of 3739 are 3739. Prime factorization of 3739 in exponential form is:

3739 = 37391

Now multiplying the highest exponent prime factors to calculate the LCM of 3735 and 3739.

LCM(3735,3739) = 32×51×831×37391
LCM(3735,3739) = 13965165

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

Factors of 3739

List of positive integer factors of 3739 that divides 3739 without a remainder.

1, 3739

Least Common Multiple of 3735 and 3739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3735 and 3739, than apply into the LCM equation.

GCF(3735,3739) = 1
LCM(3735,3739) = ( 3735 × 3739) / 1
LCM(3735,3739) = 13965165 / 1
LCM(3735,3739) = 13965165

Properties of LCM 3735 and 3739

(i) The LCM of 3739 and 3735 is associative

LCM of 3735 and 3739 = LCM of 3739 and 3735

Related Least Common Multiples of 3735

Related Least Common Multiples of 3739

Frequently Asked Questions on LCM of 3735 and 3739

1. What is the LCM of 3735 and 3739?

Answer: LCM of 3735 and 3739 is 13965165.

2. 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.

3. What are the Factors of 3739?

Answer: Factors of 3739 are 1, 3739. There are 2 integers that are factors of 3739. The greatest factor of 3739 is 3739.

4. How to Find the LCM of 3735 and 3739?

Answer:

Least Common Multiple of 3735 and 3739 = 13965165

Step 1: Find the prime factorization of 3735

3735 = 3 x 3 x 5 x 83

Step 2: Find the prime factorization of 3739

3739 = 3739

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

LCM = 13965165 = 3 x 3 x 5 x 83 x 3739

Step 4: Therefore, the least common multiple of 3735 and 3739 is 13965165.