Least Common Multiple of 81734 and 81742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81734 and 81742 the smallest integer that is 3340550314 that is divisible by both numbers.

Least Common Multiple (LCM) of 81734 and 81742 is 3340550314.

LCM(81734,81742) = 3340550314

LCM of 81734 and 81742

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

LCM of:
and

Least Common Multiple of 81734 and 81742

LCM of 81734 and 81742 is 3340550314

Least common multiple can be found by multiplying the highest exponent prime factors of 81734 and 81742. First we will calculate the prime factors of 81734 and 81742.

Prime Factorization of 81734


2 81734
40867 40867
1

Prime factors of 81734 are 2,40867. Prime factorization of 81734 in exponential form is:

81734 = 21×408671

Prime Factorization of 81742


2 81742
23 40871
1777 1777
1

Prime factors of 81742 are 2, 23,1777. Prime factorization of 81742 in exponential form is:

81742 = 21×231×17771

Now multiplying the highest exponent prime factors to calculate the LCM of 81734 and 81742.

LCM(81734,81742) = 21×231×17771×408671
LCM(81734,81742) = 3340550314

Factors of 81734

List of positive integer factors of 81734 that divides 81734 without a remainder.

1, 2, 40867, 81734

Factors of 81742

List of positive integer factors of 81742 that divides 81742 without a remainder.

1, 2, 23, 46, 1777, 3554, 40871, 81742

Least Common Multiple of 81734 and 81742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81734 and 81742, than apply into the LCM equation.

GCF(81734,81742) = 2
LCM(81734,81742) = ( 81734 × 81742) / 2
LCM(81734,81742) = 6681100628 / 2
LCM(81734,81742) = 3340550314

Properties of LCM 81734 and 81742

(i) The LCM of 81742 and 81734 is associative

LCM of 81734 and 81742 = LCM of 81742 and 81734

Related Least Common Multiples of 81734

Related Least Common Multiples of 81742

Frequently Asked Questions on LCM of 81734 and 81742

1. What is the LCM of 81734 and 81742?

Answer: LCM of 81734 and 81742 is 3340550314.

2. What are the Factors of 81734?

Answer: Factors of 81734 are 1, 2, 40867, 81734. There are 4 integers that are factors of 81734. The greatest factor of 81734 is 81734.

3. What are the Factors of 81742?

Answer: Factors of 81742 are 1, 2, 23, 46, 1777, 3554, 40871, 81742. There are 8 integers that are factors of 81742. The greatest factor of 81742 is 81742.

4. How to Find the LCM of 81734 and 81742?

Answer:

Least Common Multiple of 81734 and 81742 = 3340550314

Step 1: Find the prime factorization of 81734

81734 = 2 x 40867

Step 2: Find the prime factorization of 81742

81742 = 2 x 23 x 1777

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

LCM = 3340550314 = 2 x 23 x 1777 x 40867

Step 4: Therefore, the least common multiple of 81734 and 81742 is 3340550314.