Least Common Multiple of 8705 and 8711

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 8711 the smallest integer that is 75829255 that is divisible by both numbers.

Least Common Multiple (LCM) of 8705 and 8711 is 75829255.

LCM(8705,8711) = 75829255

LCM of 8705 and 8711

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

LCM of:
and

Least Common Multiple of 8705 and 8711

LCM of 8705 and 8711 is 75829255

Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8711. First we will calculate the prime factors of 8705 and 8711.

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 8711


31 8711
281 281
1

Prime factors of 8711 are 31,281. Prime factorization of 8711 in exponential form is:

8711 = 311×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8711.

LCM(8705,8711) = 51×311×2811×17411
LCM(8705,8711) = 75829255

Factors of 8705

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

1, 5, 1741, 8705

Factors of 8711

List of positive integer factors of 8711 that divides 8711 without a remainder.

1, 31, 281, 8711

Least Common Multiple of 8705 and 8711 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 8711, than apply into the LCM equation.

GCF(8705,8711) = 1
LCM(8705,8711) = ( 8705 × 8711) / 1
LCM(8705,8711) = 75829255 / 1
LCM(8705,8711) = 75829255

Properties of LCM 8705 and 8711

(i) The LCM of 8711 and 8705 is associative

LCM of 8705 and 8711 = LCM of 8711 and 8705

Related Least Common Multiples of 8705

Related Least Common Multiples of 8711

Frequently Asked Questions on LCM of 8705 and 8711

1. What is the LCM of 8705 and 8711?

Answer: LCM of 8705 and 8711 is 75829255.

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 8711?

Answer: Factors of 8711 are 1, 31, 281, 8711. There are 4 integers that are factors of 8711. The greatest factor of 8711 is 8711.

4. How to Find the LCM of 8705 and 8711?

Answer:

Least Common Multiple of 8705 and 8711 = 75829255

Step 1: Find the prime factorization of 8705

8705 = 5 x 1741

Step 2: Find the prime factorization of 8711

8711 = 31 x 281

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

LCM = 75829255 = 5 x 31 x 281 x 1741

Step 4: Therefore, the least common multiple of 8705 and 8711 is 75829255.