Least Common Multiple of 81722 and 81728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81722 and 81728 the smallest integer that is 3339487808 that is divisible by both numbers.

Least Common Multiple (LCM) of 81722 and 81728 is 3339487808.

LCM(81722,81728) = 3339487808

LCM of 81722 and 81728

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

LCM of:
and

Least Common Multiple of 81722 and 81728

LCM of 81722 and 81728 is 3339487808

Least common multiple can be found by multiplying the highest exponent prime factors of 81722 and 81728. First we will calculate the prime factors of 81722 and 81728.

Prime Factorization of 81722


2 81722
29 40861
1409 1409
1

Prime factors of 81722 are 2, 29,1409. Prime factorization of 81722 in exponential form is:

81722 = 21×291×14091

Prime Factorization of 81728


2 81728
2 40864
2 20432
2 10216
2 5108
2 2554
1277 1277
1

Prime factors of 81728 are 2,1277. Prime factorization of 81728 in exponential form is:

81728 = 26×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 81722 and 81728.

LCM(81722,81728) = 26×291×12771×14091
LCM(81722,81728) = 3339487808

Factors of 81722

List of positive integer factors of 81722 that divides 81722 without a remainder.

1, 2, 29, 58, 1409, 2818, 40861, 81722

Factors of 81728

List of positive integer factors of 81728 that divides 81728 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1277, 2554, 5108, 10216, 20432, 40864, 81728

Least Common Multiple of 81722 and 81728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81722 and 81728, than apply into the LCM equation.

GCF(81722,81728) = 2
LCM(81722,81728) = ( 81722 × 81728) / 2
LCM(81722,81728) = 6678975616 / 2
LCM(81722,81728) = 3339487808

Properties of LCM 81722 and 81728

(i) The LCM of 81728 and 81722 is associative

LCM of 81722 and 81728 = LCM of 81728 and 81722

Related Least Common Multiples of 81722

Related Least Common Multiples of 81728

Frequently Asked Questions on LCM of 81722 and 81728

1. What is the LCM of 81722 and 81728?

Answer: LCM of 81722 and 81728 is 3339487808.

2. What are the Factors of 81722?

Answer: Factors of 81722 are 1, 2, 29, 58, 1409, 2818, 40861, 81722. There are 8 integers that are factors of 81722. The greatest factor of 81722 is 81722.

3. What are the Factors of 81728?

Answer: Factors of 81728 are 1, 2, 4, 8, 16, 32, 64, 1277, 2554, 5108, 10216, 20432, 40864, 81728. There are 14 integers that are factors of 81728. The greatest factor of 81728 is 81728.

4. How to Find the LCM of 81722 and 81728?

Answer:

Least Common Multiple of 81722 and 81728 = 3339487808

Step 1: Find the prime factorization of 81722

81722 = 2 x 29 x 1409

Step 2: Find the prime factorization of 81728

81728 = 2 x 2 x 2 x 2 x 2 x 2 x 1277

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

LCM = 3339487808 = 2 x 2 x 2 x 2 x 2 x 2 x 29 x 1277 x 1409

Step 4: Therefore, the least common multiple of 81722 and 81728 is 3339487808.