Least Common Multiple of 3718 and 3723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3718 and 3723 the smallest integer that is 13842114 that is divisible by both numbers.

Least Common Multiple (LCM) of 3718 and 3723 is 13842114.

LCM(3718,3723) = 13842114

LCM of 3718 and 3723

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

LCM of:
and

Least Common Multiple of 3718 and 3723

LCM of 3718 and 3723 is 13842114

Least common multiple can be found by multiplying the highest exponent prime factors of 3718 and 3723. First we will calculate the prime factors of 3718 and 3723.

Prime Factorization of 3718


2 3718
11 1859
13 169
13 13
1

Prime factors of 3718 are 2, 11,13. Prime factorization of 3718 in exponential form is:

3718 = 21×111×132

Prime Factorization of 3723


3 3723
17 1241
73 73
1

Prime factors of 3723 are 3, 17,73. Prime factorization of 3723 in exponential form is:

3723 = 31×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3718 and 3723.

LCM(3718,3723) = 21×31×111×132×171×731
LCM(3718,3723) = 13842114

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1, 3, 17, 51, 73, 219, 1241, 3723

Least Common Multiple of 3718 and 3723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3718 and 3723, than apply into the LCM equation.

GCF(3718,3723) = 1
LCM(3718,3723) = ( 3718 × 3723) / 1
LCM(3718,3723) = 13842114 / 1
LCM(3718,3723) = 13842114

Properties of LCM 3718 and 3723

(i) The LCM of 3723 and 3718 is associative

LCM of 3718 and 3723 = LCM of 3723 and 3718

Related Least Common Multiples of 3718

Related Least Common Multiples of 3723

Frequently Asked Questions on LCM of 3718 and 3723

1. What is the LCM of 3718 and 3723?

Answer: LCM of 3718 and 3723 is 13842114.

2. What are the Factors of 3718?

Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.

3. What are the Factors of 3723?

Answer: Factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723. There are 8 integers that are factors of 3723. The greatest factor of 3723 is 3723.

4. How to Find the LCM of 3718 and 3723?

Answer:

Least Common Multiple of 3718 and 3723 = 13842114

Step 1: Find the prime factorization of 3718

3718 = 2 x 11 x 13 x 13

Step 2: Find the prime factorization of 3723

3723 = 3 x 17 x 73

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

LCM = 13842114 = 2 x 3 x 11 x 13 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 3718 and 3723 is 13842114.