Least Common Multiple of 3716 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 3716 and 3720 the smallest integer that is 3455880 that is divisible by both numbers.

Least Common Multiple (LCM) of 3716 and 3720 is 3455880.

LCM(3716,3720) = 3455880

LCM of 3716 and 3720

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

LCM of:
and

Least Common Multiple of 3716 and 3720

LCM of 3716 and 3720 is 3455880

Least common multiple can be found by multiplying the highest exponent prime factors of 3716 and 3720. First we will calculate the prime factors of 3716 and 3720.

Prime Factorization of 3716


2 3716
2 1858
929 929
1

Prime factors of 3716 are 2,929. Prime factorization of 3716 in exponential form is:

3716 = 22×9291

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 3716 and 3720.

LCM(3716,3720) = 23×31×51×311×9291
LCM(3716,3720) = 3455880

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1, 2, 4, 929, 1858, 3716

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 3716 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 3716 and 3720, than apply into the LCM equation.

GCF(3716,3720) = 4
LCM(3716,3720) = ( 3716 × 3720) / 4
LCM(3716,3720) = 13823520 / 4
LCM(3716,3720) = 3455880

Properties of LCM 3716 and 3720

(i) The LCM of 3720 and 3716 is associative

LCM of 3716 and 3720 = LCM of 3720 and 3716

Related Least Common Multiples of 3716

Related Least Common Multiples of 3720

Frequently Asked Questions on LCM of 3716 and 3720

1. What is the LCM of 3716 and 3720?

Answer: LCM of 3716 and 3720 is 3455880.

2. What are the Factors of 3716?

Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.

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 3716 and 3720?

Answer:

Least Common Multiple of 3716 and 3720 = 3455880

Step 1: Find the prime factorization of 3716

3716 = 2 x 2 x 929

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 = 3455880 = 2 x 2 x 2 x 3 x 5 x 31 x 929

Step 4: Therefore, the least common multiple of 3716 and 3720 is 3455880.