Least Common Multiple of 713 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 713 and 720 the smallest integer that is 513360 that is divisible by both numbers.

Least Common Multiple (LCM) of 713 and 720 is 513360.

LCM(713,720) = 513360

LCM of 713 and 720

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

LCM of:
and

Least Common Multiple of 713 and 720

LCM of 713 and 720 is 513360

Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 720. First we will calculate the prime factors of 713 and 720.

Prime Factorization of 713


23 713
31 31
1

Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:

713 = 231×311

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 713 and 720.

LCM(713,720) = 24×32×51×231×311
LCM(713,720) = 513360

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1, 23, 31, 713

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 713 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 713 and 720, than apply into the LCM equation.

GCF(713,720) = 1
LCM(713,720) = ( 713 × 720) / 1
LCM(713,720) = 513360 / 1
LCM(713,720) = 513360

Properties of LCM 713 and 720

(i) The LCM of 720 and 713 is associative

LCM of 713 and 720 = LCM of 720 and 713

Related Least Common Multiples of 713

Related Least Common Multiples of 720

Frequently Asked Questions on LCM of 713 and 720

1. What is the LCM of 713 and 720?

Answer: LCM of 713 and 720 is 513360.

2. What are the Factors of 713?

Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.

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 713 and 720?

Answer:

Least Common Multiple of 713 and 720 = 513360

Step 1: Find the prime factorization of 713

713 = 23 x 31

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 = 513360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 31

Step 4: Therefore, the least common multiple of 713 and 720 is 513360.