Least Common Multiple of 720 and 722

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 722 the smallest integer that is 259920 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 722 is 259920.

LCM(720,722) = 259920

LCM of 720 and 722

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

LCM of:
and

Least Common Multiple of 720 and 722

LCM of 720 and 722 is 259920

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 722. First we will calculate the prime factors of 720 and 722.

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 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 722.

LCM(720,722) = 24×32×51×192
LCM(720,722) = 259920

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 722

List of positive integer factors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Least Common Multiple of 720 and 722 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 722, than apply into the LCM equation.

GCF(720,722) = 2
LCM(720,722) = ( 720 × 722) / 2
LCM(720,722) = 519840 / 2
LCM(720,722) = 259920

Properties of LCM 720 and 722

(i) The LCM of 722 and 720 is associative

LCM of 720 and 722 = LCM of 722 and 720

Related Least Common Multiples of 720

Related Least Common Multiples of 722

Frequently Asked Questions on LCM of 720 and 722

1. What is the LCM of 720 and 722?

Answer: LCM of 720 and 722 is 259920.

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 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

4. How to Find the LCM of 720 and 722?

Answer:

Least Common Multiple of 720 and 722 = 259920

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 722

722 = 2 x 19 x 19

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

LCM = 259920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 19

Step 4: Therefore, the least common multiple of 720 and 722 is 259920.