Least Common Multiple of 718 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 718 and 720 the smallest integer that is 258480 that is divisible by both numbers.

Least Common Multiple (LCM) of 718 and 720 is 258480.

LCM(718,720) = 258480

LCM of 718 and 720

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

LCM of:
and

Least Common Multiple of 718 and 720

LCM of 718 and 720 is 258480

Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 720. First we will calculate the prime factors of 718 and 720.

Prime Factorization of 718


2 718
359 359
1

Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:

718 = 21×3591

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 718 and 720.

LCM(718,720) = 24×32×51×3591
LCM(718,720) = 258480

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 718 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 718 and 720, than apply into the LCM equation.

GCF(718,720) = 2
LCM(718,720) = ( 718 × 720) / 2
LCM(718,720) = 516960 / 2
LCM(718,720) = 258480

Properties of LCM 718 and 720

(i) The LCM of 720 and 718 is associative

LCM of 718 and 720 = LCM of 720 and 718

Related Least Common Multiples of 718

Related Least Common Multiples of 720

Frequently Asked Questions on LCM of 718 and 720

1. What is the LCM of 718 and 720?

Answer: LCM of 718 and 720 is 258480.

2. What are the Factors of 718?

Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.

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 718 and 720?

Answer:

Least Common Multiple of 718 and 720 = 258480

Step 1: Find the prime factorization of 718

718 = 2 x 359

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 = 258480 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 359

Step 4: Therefore, the least common multiple of 718 and 720 is 258480.