Least Common Multiple of 81727 and 81734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81727 and 81734 the smallest integer that is 6679874618 that is divisible by both numbers.

Least Common Multiple (LCM) of 81727 and 81734 is 6679874618.

LCM(81727,81734) = 6679874618

LCM of 81727 and 81734

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

LCM of:
and

Least Common Multiple of 81727 and 81734

LCM of 81727 and 81734 is 6679874618

Least common multiple can be found by multiplying the highest exponent prime factors of 81727 and 81734. First we will calculate the prime factors of 81727 and 81734.

Prime Factorization of 81727


81727 81727
1

Prime factors of 81727 are 81727. Prime factorization of 81727 in exponential form is:

81727 = 817271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 81727 and 81734.

LCM(81727,81734) = 21×408671×817271
LCM(81727,81734) = 6679874618

Factors of 81727

List of positive integer factors of 81727 that divides 81727 without a remainder.

1, 81727

Factors of 81734

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

1, 2, 40867, 81734

Least Common Multiple of 81727 and 81734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81727 and 81734, than apply into the LCM equation.

GCF(81727,81734) = 1
LCM(81727,81734) = ( 81727 × 81734) / 1
LCM(81727,81734) = 6679874618 / 1
LCM(81727,81734) = 6679874618

Properties of LCM 81727 and 81734

(i) The LCM of 81734 and 81727 is associative

LCM of 81727 and 81734 = LCM of 81734 and 81727

Related Least Common Multiples of 81727

Related Least Common Multiples of 81734

Frequently Asked Questions on LCM of 81727 and 81734

1. What is the LCM of 81727 and 81734?

Answer: LCM of 81727 and 81734 is 6679874618.

2. What are the Factors of 81727?

Answer: Factors of 81727 are 1, 81727. There are 2 integers that are factors of 81727. The greatest factor of 81727 is 81727.

3. 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.

4. How to Find the LCM of 81727 and 81734?

Answer:

Least Common Multiple of 81727 and 81734 = 6679874618

Step 1: Find the prime factorization of 81727

81727 = 81727

Step 2: Find the prime factorization of 81734

81734 = 2 x 40867

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

LCM = 6679874618 = 2 x 40867 x 81727

Step 4: Therefore, the least common multiple of 81727 and 81734 is 6679874618.