Least Common Multiple of 715 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 715 and 720 the smallest integer that is 102960 that is divisible by both numbers.

Least Common Multiple (LCM) of 715 and 720 is 102960.

LCM(715,720) = 102960

LCM of 715 and 720

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

LCM of:
and

Least Common Multiple of 715 and 720

LCM of 715 and 720 is 102960

Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 720. First we will calculate the prime factors of 715 and 720.

Prime Factorization of 715


5 715
11 143
13 13
1

Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

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 715 and 720.

LCM(715,720) = 24×32×51×111×131
LCM(715,720) = 102960

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 715 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 715 and 720, than apply into the LCM equation.

GCF(715,720) = 5
LCM(715,720) = ( 715 × 720) / 5
LCM(715,720) = 514800 / 5
LCM(715,720) = 102960

Properties of LCM 715 and 720

(i) The LCM of 720 and 715 is associative

LCM of 715 and 720 = LCM of 720 and 715

Related Least Common Multiples of 715

Related Least Common Multiples of 720

Frequently Asked Questions on LCM of 715 and 720

1. What is the LCM of 715 and 720?

Answer: LCM of 715 and 720 is 102960.

2. What are the Factors of 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

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 715 and 720?

Answer:

Least Common Multiple of 715 and 720 = 102960

Step 1: Find the prime factorization of 715

715 = 5 x 11 x 13

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 = 102960 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 715 and 720 is 102960.