Least Common Multiple of 727 and 731

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 731 the smallest integer that is 531437 that is divisible by both numbers.

Least Common Multiple (LCM) of 727 and 731 is 531437.

LCM(727,731) = 531437

LCM of 727 and 731

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

LCM of:
and

Least Common Multiple of 727 and 731

LCM of 727 and 731 is 531437

Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 731. First we will calculate the prime factors of 727 and 731.

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 731


17 731
43 43
1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 731.

LCM(727,731) = 171×431×7271
LCM(727,731) = 531437

Factors of 727

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

1, 727

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Least Common Multiple of 727 and 731 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 731, than apply into the LCM equation.

GCF(727,731) = 1
LCM(727,731) = ( 727 × 731) / 1
LCM(727,731) = 531437 / 1
LCM(727,731) = 531437

Properties of LCM 727 and 731

(i) The LCM of 731 and 727 is associative

LCM of 727 and 731 = LCM of 731 and 727

Related Least Common Multiples of 727

Related Least Common Multiples of 731

Frequently Asked Questions on LCM of 727 and 731

1. What is the LCM of 727 and 731?

Answer: LCM of 727 and 731 is 531437.

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 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the LCM of 727 and 731?

Answer:

Least Common Multiple of 727 and 731 = 531437

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 731

731 = 17 x 43

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

LCM = 531437 = 17 x 43 x 727

Step 4: Therefore, the least common multiple of 727 and 731 is 531437.