Least Common Multiple of 727 and 730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 727 and 730 the smallest integer that is 530710 that is divisible by both numbers.

Least Common Multiple (LCM) of 727 and 730 is 530710.

LCM(727,730) = 530710

LCM of 727 and 730

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

LCM of:
and

Least Common Multiple of 727 and 730

LCM of 727 and 730 is 530710

Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 730. First we will calculate the prime factors of 727 and 730.

Prime Factorization of 727


727 727
1

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

727 = 7271

Prime Factorization of 730


2 730
5 365
73 73
1

Prime factors of 730 are 2, 5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 730.

LCM(727,730) = 21×51×731×7271
LCM(727,730) = 530710

Factors of 727

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

1, 727

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Least Common Multiple of 727 and 730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 727 and 730, than apply into the LCM equation.

GCF(727,730) = 1
LCM(727,730) = ( 727 × 730) / 1
LCM(727,730) = 530710 / 1
LCM(727,730) = 530710

Properties of LCM 727 and 730

(i) The LCM of 730 and 727 is associative

LCM of 727 and 730 = LCM of 730 and 727

Related Least Common Multiples of 727

Related Least Common Multiples of 730

Frequently Asked Questions on LCM of 727 and 730

1. What is the LCM of 727 and 730?

Answer: LCM of 727 and 730 is 530710.

2. 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.

3. What are the Factors of 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

4. How to Find the LCM of 727 and 730?

Answer:

Least Common Multiple of 727 and 730 = 530710

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 730

730 = 2 x 5 x 73

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

LCM = 530710 = 2 x 5 x 73 x 727

Step 4: Therefore, the least common multiple of 727 and 730 is 530710.