Least Common Multiple of 81723 and 81729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81723 and 81729 the smallest integer that is 2226379689 that is divisible by both numbers.

Least Common Multiple (LCM) of 81723 and 81729 is 2226379689.

LCM(81723,81729) = 2226379689

LCM of 81723 and 81729

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

LCM of:
and

Least Common Multiple of 81723 and 81729

LCM of 81723 and 81729 is 2226379689

Least common multiple can be found by multiplying the highest exponent prime factors of 81723 and 81729. First we will calculate the prime factors of 81723 and 81729.

Prime Factorization of 81723


3 81723
27241 27241
1

Prime factors of 81723 are 3,27241. Prime factorization of 81723 in exponential form is:

81723 = 31×272411

Prime Factorization of 81729


3 81729
3 27243
3 9081
3 3027
1009 1009
1

Prime factors of 81729 are 3,1009. Prime factorization of 81729 in exponential form is:

81729 = 34×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 81723 and 81729.

LCM(81723,81729) = 34×10091×272411
LCM(81723,81729) = 2226379689

Factors of 81723

List of positive integer factors of 81723 that divides 81723 without a remainder.

1, 3, 27241, 81723

Factors of 81729

List of positive integer factors of 81729 that divides 81729 without a remainder.

1, 3, 9, 27, 81, 1009, 3027, 9081, 27243, 81729

Least Common Multiple of 81723 and 81729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81723 and 81729, than apply into the LCM equation.

GCF(81723,81729) = 3
LCM(81723,81729) = ( 81723 × 81729) / 3
LCM(81723,81729) = 6679139067 / 3
LCM(81723,81729) = 2226379689

Properties of LCM 81723 and 81729

(i) The LCM of 81729 and 81723 is associative

LCM of 81723 and 81729 = LCM of 81729 and 81723

Related Least Common Multiples of 81723

Related Least Common Multiples of 81729

Frequently Asked Questions on LCM of 81723 and 81729

1. What is the LCM of 81723 and 81729?

Answer: LCM of 81723 and 81729 is 2226379689.

2. What are the Factors of 81723?

Answer: Factors of 81723 are 1, 3, 27241, 81723. There are 4 integers that are factors of 81723. The greatest factor of 81723 is 81723.

3. What are the Factors of 81729?

Answer: Factors of 81729 are 1, 3, 9, 27, 81, 1009, 3027, 9081, 27243, 81729. There are 10 integers that are factors of 81729. The greatest factor of 81729 is 81729.

4. How to Find the LCM of 81723 and 81729?

Answer:

Least Common Multiple of 81723 and 81729 = 2226379689

Step 1: Find the prime factorization of 81723

81723 = 3 x 27241

Step 2: Find the prime factorization of 81729

81729 = 3 x 3 x 3 x 3 x 1009

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

LCM = 2226379689 = 3 x 3 x 3 x 3 x 1009 x 27241

Step 4: Therefore, the least common multiple of 81723 and 81729 is 2226379689.