Least Common Multiple of 3723 and 3730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3723 and 3730 the smallest integer that is 13886790 that is divisible by both numbers.

Least Common Multiple (LCM) of 3723 and 3730 is 13886790.

LCM(3723,3730) = 13886790

LCM of 3723 and 3730

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

LCM of:
and

Least Common Multiple of 3723 and 3730

LCM of 3723 and 3730 is 13886790

Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3730. First we will calculate the prime factors of 3723 and 3730.

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

Prime Factorization of 3730


2 3730
5 1865
373 373
1

Prime factors of 3730 are 2, 5,373. Prime factorization of 3730 in exponential form is:

3730 = 21×51×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3730.

LCM(3723,3730) = 21×31×51×171×731×3731
LCM(3723,3730) = 13886790

Factors of 3723

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

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

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1, 2, 5, 10, 373, 746, 1865, 3730

Least Common Multiple of 3723 and 3730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3723 and 3730, than apply into the LCM equation.

GCF(3723,3730) = 1
LCM(3723,3730) = ( 3723 × 3730) / 1
LCM(3723,3730) = 13886790 / 1
LCM(3723,3730) = 13886790

Properties of LCM 3723 and 3730

(i) The LCM of 3730 and 3723 is associative

LCM of 3723 and 3730 = LCM of 3730 and 3723

Related Least Common Multiples of 3723

Related Least Common Multiples of 3730

Frequently Asked Questions on LCM of 3723 and 3730

1. What is the LCM of 3723 and 3730?

Answer: LCM of 3723 and 3730 is 13886790.

2. 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.

3. What are the Factors of 3730?

Answer: Factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730. There are 8 integers that are factors of 3730. The greatest factor of 3730 is 3730.

4. How to Find the LCM of 3723 and 3730?

Answer:

Least Common Multiple of 3723 and 3730 = 13886790

Step 1: Find the prime factorization of 3723

3723 = 3 x 17 x 73

Step 2: Find the prime factorization of 3730

3730 = 2 x 5 x 373

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

LCM = 13886790 = 2 x 3 x 5 x 17 x 73 x 373

Step 4: Therefore, the least common multiple of 3723 and 3730 is 13886790.