Least Common Multiple of 3717 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 3717 and 3723 the smallest integer that is 4612797 that is divisible by both numbers.

Least Common Multiple (LCM) of 3717 and 3723 is 4612797.

LCM(3717,3723) = 4612797

LCM of 3717 and 3723

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

LCM of:
and

Least Common Multiple of 3717 and 3723

LCM of 3717 and 3723 is 4612797

Least common multiple can be found by multiplying the highest exponent prime factors of 3717 and 3723. First we will calculate the prime factors of 3717 and 3723.

Prime Factorization of 3717


3 3717
3 1239
7 413
59 59
1

Prime factors of 3717 are 3, 7,59. Prime factorization of 3717 in exponential form is:

3717 = 32×71×591

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 3717 and 3723.

LCM(3717,3723) = 32×71×171×591×731
LCM(3717,3723) = 4612797

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717

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 3717 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 3717 and 3723, than apply into the LCM equation.

GCF(3717,3723) = 3
LCM(3717,3723) = ( 3717 × 3723) / 3
LCM(3717,3723) = 13838391 / 3
LCM(3717,3723) = 4612797

Properties of LCM 3717 and 3723

(i) The LCM of 3723 and 3717 is associative

LCM of 3717 and 3723 = LCM of 3723 and 3717

Related Least Common Multiples of 3717

Related Least Common Multiples of 3723

Frequently Asked Questions on LCM of 3717 and 3723

1. What is the LCM of 3717 and 3723?

Answer: LCM of 3717 and 3723 is 4612797.

2. What are the Factors of 3717?

Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.

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 3717 and 3723?

Answer:

Least Common Multiple of 3717 and 3723 = 4612797

Step 1: Find the prime factorization of 3717

3717 = 3 x 3 x 7 x 59

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 = 4612797 = 3 x 3 x 7 x 17 x 59 x 73

Step 4: Therefore, the least common multiple of 3717 and 3723 is 4612797.