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Least Common Multiple of 720 and 727

Free LCM Calculator determines the least common multiple (LCM) between 720 and 727 the smallest integer that is 523440 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 727 is 523440.

LCM(720,727) = 523440

LCM of 720 and 727

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

LCM of:
and

Least Common Multiple (LCM) of 720 and 727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 727. First we will calculate the prime factors of 720 and 727.

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 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 727.

LCM(720,727) = 24×32×51×7271
LCM(720,727) = 523440

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 727

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

Least Common Multiple of 720 and 727 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 727, than apply into the LCM equation.

GCF(720,727) = 1
LCM(720,727) = ( 720 × 727) / 1
LCM(720,727) = 523440 / 1
LCM(720,727) = 523440

Properties of LCM 720 and 727

(i) The LCM of 727 and 720 is associative

LCM of 720 and 727 = LCM of 727 and 720

Frequently Asked Questions on LCM of 720 and 727

1. What is the LCM of 720 and 727?

Answer: LCM of 720 and 727 is 523440.

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 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

4. How to Find the LCM of 720 and 727?

Answer:

Least Common Multiple of 720 and 727 = 523440

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 727

727 = 727

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

LCM = 523440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 727

Step 4: Therefore, the least common multiple of 720 and 727 is 523440.