Least Common Multiple of 81734 and 81739

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 81739 the smallest integer that is 6680855426 that is divisible by both numbers.

Least Common Multiple (LCM) of 81734 and 81739 is 6680855426.

LCM(81734,81739) = 6680855426

LCM of 81734 and 81739

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

LCM of:
and

Least Common Multiple of 81734 and 81739

LCM of 81734 and 81739 is 6680855426

Least common multiple can be found by multiplying the highest exponent prime factors of 81734 and 81739. First we will calculate the prime factors of 81734 and 81739.

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 81739


7 81739
11677 11677
1

Prime factors of 81739 are 7,11677. Prime factorization of 81739 in exponential form is:

81739 = 71×116771

Now multiplying the highest exponent prime factors to calculate the LCM of 81734 and 81739.

LCM(81734,81739) = 21×71×116771×408671
LCM(81734,81739) = 6680855426

Factors of 81734

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

1, 2, 40867, 81734

Factors of 81739

List of positive integer factors of 81739 that divides 81739 without a remainder.

1, 7, 11677, 81739

Least Common Multiple of 81734 and 81739 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 81739, than apply into the LCM equation.

GCF(81734,81739) = 1
LCM(81734,81739) = ( 81734 × 81739) / 1
LCM(81734,81739) = 6680855426 / 1
LCM(81734,81739) = 6680855426

Properties of LCM 81734 and 81739

(i) The LCM of 81739 and 81734 is associative

LCM of 81734 and 81739 = LCM of 81739 and 81734

Related Least Common Multiples of 81734

Related Least Common Multiples of 81739

Frequently Asked Questions on LCM of 81734 and 81739

1. What is the LCM of 81734 and 81739?

Answer: LCM of 81734 and 81739 is 6680855426.

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 81739?

Answer: Factors of 81739 are 1, 7, 11677, 81739. There are 4 integers that are factors of 81739. The greatest factor of 81739 is 81739.

4. How to Find the LCM of 81734 and 81739?

Answer:

Least Common Multiple of 81734 and 81739 = 6680855426

Step 1: Find the prime factorization of 81734

81734 = 2 x 40867

Step 2: Find the prime factorization of 81739

81739 = 7 x 11677

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

LCM = 6680855426 = 2 x 7 x 11677 x 40867

Step 4: Therefore, the least common multiple of 81734 and 81739 is 6680855426.