Least Common Multiple of 8705 and 8713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8705 and 8713 the smallest integer that is 75846665 that is divisible by both numbers.

Least Common Multiple (LCM) of 8705 and 8713 is 75846665.

LCM(8705,8713) = 75846665

LCM of 8705 and 8713

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

LCM of:
and

Least Common Multiple of 8705 and 8713

LCM of 8705 and 8713 is 75846665

Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8713. First we will calculate the prime factors of 8705 and 8713.

Prime Factorization of 8705


5 8705
1741 1741
1

Prime factors of 8705 are 5,1741. Prime factorization of 8705 in exponential form is:

8705 = 51×17411

Prime Factorization of 8713


8713 8713
1

Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:

8713 = 87131

Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8713.

LCM(8705,8713) = 51×17411×87131
LCM(8705,8713) = 75846665

Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1, 5, 1741, 8705

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1, 8713

Least Common Multiple of 8705 and 8713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8705 and 8713, than apply into the LCM equation.

GCF(8705,8713) = 1
LCM(8705,8713) = ( 8705 × 8713) / 1
LCM(8705,8713) = 75846665 / 1
LCM(8705,8713) = 75846665

Properties of LCM 8705 and 8713

(i) The LCM of 8713 and 8705 is associative

LCM of 8705 and 8713 = LCM of 8713 and 8705

Related Least Common Multiples of 8705

Related Least Common Multiples of 8713

Frequently Asked Questions on LCM of 8705 and 8713

1. What is the LCM of 8705 and 8713?

Answer: LCM of 8705 and 8713 is 75846665.

2. What are the Factors of 8705?

Answer: Factors of 8705 are 1, 5, 1741, 8705. There are 4 integers that are factors of 8705. The greatest factor of 8705 is 8705.

3. What are the Factors of 8713?

Answer: Factors of 8713 are 1, 8713. There are 2 integers that are factors of 8713. The greatest factor of 8713 is 8713.

4. How to Find the LCM of 8705 and 8713?

Answer:

Least Common Multiple of 8705 and 8713 = 75846665

Step 1: Find the prime factorization of 8705

8705 = 5 x 1741

Step 2: Find the prime factorization of 8713

8713 = 8713

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

LCM = 75846665 = 5 x 1741 x 8713

Step 4: Therefore, the least common multiple of 8705 and 8713 is 75846665.