Least Common Multiple of 720 and 724

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 724 the smallest integer that is 130320 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 724 is 130320.

LCM(720,724) = 130320

LCM of 720 and 724

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

LCM of:
and

Least Common Multiple of 720 and 724

LCM of 720 and 724 is 130320

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 724. First we will calculate the prime factors of 720 and 724.

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 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 724.

LCM(720,724) = 24×32×51×1811
LCM(720,724) = 130320

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 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Least Common Multiple of 720 and 724 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 724, than apply into the LCM equation.

GCF(720,724) = 4
LCM(720,724) = ( 720 × 724) / 4
LCM(720,724) = 521280 / 4
LCM(720,724) = 130320

Properties of LCM 720 and 724

(i) The LCM of 724 and 720 is associative

LCM of 720 and 724 = LCM of 724 and 720

Related Least Common Multiples of 720

Related Least Common Multiples of 724

Frequently Asked Questions on LCM of 720 and 724

1. What is the LCM of 720 and 724?

Answer: LCM of 720 and 724 is 130320.

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 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

4. How to Find the LCM of 720 and 724?

Answer:

Least Common Multiple of 720 and 724 = 130320

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 724

724 = 2 x 2 x 181

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

LCM = 130320 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 181

Step 4: Therefore, the least common multiple of 720 and 724 is 130320.