Least Common Multiple of 716 and 720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 716 and 720 the smallest integer that is 128880 that is divisible by both numbers.

Least Common Multiple (LCM) of 716 and 720 is 128880.

LCM(716,720) = 128880

LCM of 716 and 720

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

LCM of:
and

Least Common Multiple of 716 and 720

LCM of 716 and 720 is 128880

Least common multiple can be found by multiplying the highest exponent prime factors of 716 and 720. First we will calculate the prime factors of 716 and 720.

Prime Factorization of 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

Prime Factorization of 720


2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 720 are 2, 3,5. Prime factorization of 720 in exponential form is:

720 = 24×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 716 and 720.

LCM(716,720) = 24×32×51×1791
LCM(716,720) = 128880

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Least Common Multiple of 716 and 720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 716 and 720, than apply into the LCM equation.

GCF(716,720) = 4
LCM(716,720) = ( 716 × 720) / 4
LCM(716,720) = 515520 / 4
LCM(716,720) = 128880

Properties of LCM 716 and 720

(i) The LCM of 720 and 716 is associative

LCM of 716 and 720 = LCM of 720 and 716

Related Least Common Multiples of 716

Related Least Common Multiples of 720

Frequently Asked Questions on LCM of 716 and 720

1. What is the LCM of 716 and 720?

Answer: LCM of 716 and 720 is 128880.

2. What are the Factors of 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

3. What are the Factors of 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

4. How to Find the LCM of 716 and 720?

Answer:

Least Common Multiple of 716 and 720 = 128880

Step 1: Find the prime factorization of 716

716 = 2 x 2 x 179

Step 2: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 128880 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 179

Step 4: Therefore, the least common multiple of 716 and 720 is 128880.