Least Common Multiple of 720 and 721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 720 and 721 the smallest integer that is 519120 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 721 is 519120.

LCM(720,721) = 519120

LCM of 720 and 721

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

LCM of:
and

Least Common Multiple of 720 and 721

LCM of 720 and 721 is 519120

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 721. First we will calculate the prime factors of 720 and 721.

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

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 721.

LCM(720,721) = 24×32×51×71×1031
LCM(720,721) = 519120

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

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Least Common Multiple of 720 and 721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 720 and 721, than apply into the LCM equation.

GCF(720,721) = 1
LCM(720,721) = ( 720 × 721) / 1
LCM(720,721) = 519120 / 1
LCM(720,721) = 519120

Properties of LCM 720 and 721

(i) The LCM of 721 and 720 is associative

LCM of 720 and 721 = LCM of 721 and 720

Related Least Common Multiples of 720

Related Least Common Multiples of 721

Frequently Asked Questions on LCM of 720 and 721

1. What is the LCM of 720 and 721?

Answer: LCM of 720 and 721 is 519120.

2. 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.

3. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

4. How to Find the LCM of 720 and 721?

Answer:

Least Common Multiple of 720 and 721 = 519120

Step 1: Find the prime factorization of 720

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

Step 2: Find the prime factorization of 721

721 = 7 x 103

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

LCM = 519120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 103

Step 4: Therefore, the least common multiple of 720 and 721 is 519120.