Least Common Multiple of 3713 and 3720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3713 and 3720 the smallest integer that is 13812360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3713 and 3720 is 13812360.

LCM(3713,3720) = 13812360

LCM of 3713 and 3720

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

LCM of:
and

Least Common Multiple of 3713 and 3720

LCM of 3713 and 3720 is 13812360

Least common multiple can be found by multiplying the highest exponent prime factors of 3713 and 3720. First we will calculate the prime factors of 3713 and 3720.

Prime Factorization of 3713


47 3713
79 79
1

Prime factors of 3713 are 47,79. Prime factorization of 3713 in exponential form is:

3713 = 471×791

Prime Factorization of 3720


2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 3720 are 2, 3, 5,31. Prime factorization of 3720 in exponential form is:

3720 = 23×31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3713 and 3720.

LCM(3713,3720) = 23×31×51×311×471×791
LCM(3713,3720) = 13812360

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1, 47, 79, 3713

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720

Least Common Multiple of 3713 and 3720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3713 and 3720, than apply into the LCM equation.

GCF(3713,3720) = 1
LCM(3713,3720) = ( 3713 × 3720) / 1
LCM(3713,3720) = 13812360 / 1
LCM(3713,3720) = 13812360

Properties of LCM 3713 and 3720

(i) The LCM of 3720 and 3713 is associative

LCM of 3713 and 3720 = LCM of 3720 and 3713

Related Least Common Multiples of 3713

Related Least Common Multiples of 3720

Frequently Asked Questions on LCM of 3713 and 3720

1. What is the LCM of 3713 and 3720?

Answer: LCM of 3713 and 3720 is 13812360.

2. What are the Factors of 3713?

Answer: Factors of 3713 are 1, 47, 79, 3713. There are 4 integers that are factors of 3713. The greatest factor of 3713 is 3713.

3. What are the Factors of 3720?

Answer: Factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720. There are 32 integers that are factors of 3720. The greatest factor of 3720 is 3720.

4. How to Find the LCM of 3713 and 3720?

Answer:

Least Common Multiple of 3713 and 3720 = 13812360

Step 1: Find the prime factorization of 3713

3713 = 47 x 79

Step 2: Find the prime factorization of 3720

3720 = 2 x 2 x 2 x 3 x 5 x 31

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

LCM = 13812360 = 2 x 2 x 2 x 3 x 5 x 31 x 47 x 79

Step 4: Therefore, the least common multiple of 3713 and 3720 is 13812360.