Least Common Multiple of 68782 and 68783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68782 and 68783 the smallest integer that is 4731032306 that is divisible by both numbers.

Least Common Multiple (LCM) of 68782 and 68783 is 4731032306.

LCM(68782,68783) = 4731032306

LCM of 68782 and 68783

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

LCM of:
and

Least Common Multiple of 68782 and 68783

LCM of 68782 and 68783 is 4731032306

Least common multiple can be found by multiplying the highest exponent prime factors of 68782 and 68783. First we will calculate the prime factors of 68782 and 68783.

Prime Factorization of 68782


2 68782
7 34391
17 4913
17 289
17 17
1

Prime factors of 68782 are 2, 7,17. Prime factorization of 68782 in exponential form is:

68782 = 21×71×173

Prime Factorization of 68783


11 68783
13 6253
13 481
37 37
1

Prime factors of 68783 are 11, 13,37. Prime factorization of 68783 in exponential form is:

68783 = 111×132×371

Now multiplying the highest exponent prime factors to calculate the LCM of 68782 and 68783.

LCM(68782,68783) = 21×71×111×132×173×371
LCM(68782,68783) = 4731032306

Factors of 68782

List of positive integer factors of 68782 that divides 68782 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391, 68782

Factors of 68783

List of positive integer factors of 68783 that divides 68783 without a remainder.

1, 11, 13, 37, 143, 169, 407, 481, 1859, 5291, 6253, 68783

Least Common Multiple of 68782 and 68783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68782 and 68783, than apply into the LCM equation.

GCF(68782,68783) = 1
LCM(68782,68783) = ( 68782 × 68783) / 1
LCM(68782,68783) = 4731032306 / 1
LCM(68782,68783) = 4731032306

Properties of LCM 68782 and 68783

(i) The LCM of 68783 and 68782 is associative

LCM of 68782 and 68783 = LCM of 68783 and 68782

Related Least Common Multiples of 68782

Related Least Common Multiples of 68783

Frequently Asked Questions on LCM of 68782 and 68783

1. What is the LCM of 68782 and 68783?

Answer: LCM of 68782 and 68783 is 4731032306.

2. What are the Factors of 68782?

Answer: Factors of 68782 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391, 68782. There are 16 integers that are factors of 68782. The greatest factor of 68782 is 68782.

3. What are the Factors of 68783?

Answer: Factors of 68783 are 1, 11, 13, 37, 143, 169, 407, 481, 1859, 5291, 6253, 68783. There are 12 integers that are factors of 68783. The greatest factor of 68783 is 68783.

4. How to Find the LCM of 68782 and 68783?

Answer:

Least Common Multiple of 68782 and 68783 = 4731032306

Step 1: Find the prime factorization of 68782

68782 = 2 x 7 x 17 x 17 x 17

Step 2: Find the prime factorization of 68783

68783 = 11 x 13 x 13 x 37

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

LCM = 4731032306 = 2 x 7 x 11 x 13 x 13 x 17 x 17 x 17 x 37

Step 4: Therefore, the least common multiple of 68782 and 68783 is 4731032306.