Least Common Multiple of 3739 and 3745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3739 and 3745 the smallest integer that is 14002555 that is divisible by both numbers.

Least Common Multiple (LCM) of 3739 and 3745 is 14002555.

LCM(3739,3745) = 14002555

LCM of 3739 and 3745

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

LCM of:
and

Least Common Multiple of 3739 and 3745

LCM of 3739 and 3745 is 14002555

Least common multiple can be found by multiplying the highest exponent prime factors of 3739 and 3745. First we will calculate the prime factors of 3739 and 3745.

Prime Factorization of 3739


3739 3739
1

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

3739 = 37391

Prime Factorization of 3745


5 3745
7 749
107 107
1

Prime factors of 3745 are 5, 7,107. Prime factorization of 3745 in exponential form is:

3745 = 51×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3739 and 3745.

LCM(3739,3745) = 51×71×1071×37391
LCM(3739,3745) = 14002555

Factors of 3739

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

1, 3739

Factors of 3745

List of positive integer factors of 3745 that divides 3745 without a remainder.

1, 5, 7, 35, 107, 535, 749, 3745

Least Common Multiple of 3739 and 3745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3739 and 3745, than apply into the LCM equation.

GCF(3739,3745) = 1
LCM(3739,3745) = ( 3739 × 3745) / 1
LCM(3739,3745) = 14002555 / 1
LCM(3739,3745) = 14002555

Properties of LCM 3739 and 3745

(i) The LCM of 3745 and 3739 is associative

LCM of 3739 and 3745 = LCM of 3745 and 3739

Related Least Common Multiples of 3739

Related Least Common Multiples of 3745

Frequently Asked Questions on LCM of 3739 and 3745

1. What is the LCM of 3739 and 3745?

Answer: LCM of 3739 and 3745 is 14002555.

2. 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.

3. What are the Factors of 3745?

Answer: Factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745. There are 8 integers that are factors of 3745. The greatest factor of 3745 is 3745.

4. How to Find the LCM of 3739 and 3745?

Answer:

Least Common Multiple of 3739 and 3745 = 14002555

Step 1: Find the prime factorization of 3739

3739 = 3739

Step 2: Find the prime factorization of 3745

3745 = 5 x 7 x 107

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

LCM = 14002555 = 5 x 7 x 107 x 3739

Step 4: Therefore, the least common multiple of 3739 and 3745 is 14002555.