Least Common Multiple of 3719 and 3726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3719 and 3726 the smallest integer that is 13856994 that is divisible by both numbers.

Least Common Multiple (LCM) of 3719 and 3726 is 13856994.

LCM(3719,3726) = 13856994

LCM of 3719 and 3726

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

LCM of:
and

Least Common Multiple of 3719 and 3726

LCM of 3719 and 3726 is 13856994

Least common multiple can be found by multiplying the highest exponent prime factors of 3719 and 3726. First we will calculate the prime factors of 3719 and 3726.

Prime Factorization of 3719


3719 3719
1

Prime factors of 3719 are 3719. Prime factorization of 3719 in exponential form is:

3719 = 37191

Prime Factorization of 3726


2 3726
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 3726 are 2, 3,23. Prime factorization of 3726 in exponential form is:

3726 = 21×34×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3719 and 3726.

LCM(3719,3726) = 21×34×231×37191
LCM(3719,3726) = 13856994

Factors of 3719

List of positive integer factors of 3719 that divides 3719 without a remainder.

1, 3719

Factors of 3726

List of positive integer factors of 3726 that divides 3726 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726

Least Common Multiple of 3719 and 3726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3719 and 3726, than apply into the LCM equation.

GCF(3719,3726) = 1
LCM(3719,3726) = ( 3719 × 3726) / 1
LCM(3719,3726) = 13856994 / 1
LCM(3719,3726) = 13856994

Properties of LCM 3719 and 3726

(i) The LCM of 3726 and 3719 is associative

LCM of 3719 and 3726 = LCM of 3726 and 3719

Related Least Common Multiples of 3719

Related Least Common Multiples of 3726

Frequently Asked Questions on LCM of 3719 and 3726

1. What is the LCM of 3719 and 3726?

Answer: LCM of 3719 and 3726 is 13856994.

2. What are the Factors of 3719?

Answer: Factors of 3719 are 1, 3719. There are 2 integers that are factors of 3719. The greatest factor of 3719 is 3719.

3. What are the Factors of 3726?

Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.

4. How to Find the LCM of 3719 and 3726?

Answer:

Least Common Multiple of 3719 and 3726 = 13856994

Step 1: Find the prime factorization of 3719

3719 = 3719

Step 2: Find the prime factorization of 3726

3726 = 2 x 3 x 3 x 3 x 3 x 23

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

LCM = 13856994 = 2 x 3 x 3 x 3 x 3 x 23 x 3719

Step 4: Therefore, the least common multiple of 3719 and 3726 is 13856994.