Least Common Multiple of 720 and 726

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 726 the smallest integer that is 87120 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 726 is 87120.

LCM(720,726) = 87120

LCM of 720 and 726

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

LCM of:
and

Least Common Multiple of 720 and 726

LCM of 720 and 726 is 87120

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 726. First we will calculate the prime factors of 720 and 726.

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 726


2 726
3 363
11 121
11 11
1

Prime factors of 726 are 2, 3,11. Prime factorization of 726 in exponential form is:

726 = 21×31×112

Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 726.

LCM(720,726) = 24×32×51×112
LCM(720,726) = 87120

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 726

List of positive integer factors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Least Common Multiple of 720 and 726 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 726, than apply into the LCM equation.

GCF(720,726) = 6
LCM(720,726) = ( 720 × 726) / 6
LCM(720,726) = 522720 / 6
LCM(720,726) = 87120

Properties of LCM 720 and 726

(i) The LCM of 726 and 720 is associative

LCM of 720 and 726 = LCM of 726 and 720

Related Least Common Multiples of 720

Related Least Common Multiples of 726

Frequently Asked Questions on LCM of 720 and 726

1. What is the LCM of 720 and 726?

Answer: LCM of 720 and 726 is 87120.

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 726?

Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.

4. How to Find the LCM of 720 and 726?

Answer:

Least Common Multiple of 720 and 726 = 87120

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 726

726 = 2 x 3 x 11 x 11

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

LCM = 87120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 720 and 726 is 87120.