Least Common Multiple of 8701 and 8705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8701 and 8705 the smallest integer that is 75742205 that is divisible by both numbers.

Least Common Multiple (LCM) of 8701 and 8705 is 75742205.

LCM(8701,8705) = 75742205

LCM of 8701 and 8705

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

LCM of:
and

Least Common Multiple of 8701 and 8705

LCM of 8701 and 8705 is 75742205

Least common multiple can be found by multiplying the highest exponent prime factors of 8701 and 8705. First we will calculate the prime factors of 8701 and 8705.

Prime Factorization of 8701


7 8701
11 1243
113 113
1

Prime factors of 8701 are 7, 11,113. Prime factorization of 8701 in exponential form is:

8701 = 71×111×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8701 and 8705.

LCM(8701,8705) = 51×71×111×1131×17411
LCM(8701,8705) = 75742205

Factors of 8701

List of positive integer factors of 8701 that divides 8701 without a remainder.

1, 7, 11, 77, 113, 791, 1243, 8701

Factors of 8705

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

1, 5, 1741, 8705

Least Common Multiple of 8701 and 8705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8701 and 8705, than apply into the LCM equation.

GCF(8701,8705) = 1
LCM(8701,8705) = ( 8701 × 8705) / 1
LCM(8701,8705) = 75742205 / 1
LCM(8701,8705) = 75742205

Properties of LCM 8701 and 8705

(i) The LCM of 8705 and 8701 is associative

LCM of 8701 and 8705 = LCM of 8705 and 8701

Related Least Common Multiples of 8701

Related Least Common Multiples of 8705

Frequently Asked Questions on LCM of 8701 and 8705

1. What is the LCM of 8701 and 8705?

Answer: LCM of 8701 and 8705 is 75742205.

2. What are the Factors of 8701?

Answer: Factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701. There are 8 integers that are factors of 8701. The greatest factor of 8701 is 8701.

3. 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.

4. How to Find the LCM of 8701 and 8705?

Answer:

Least Common Multiple of 8701 and 8705 = 75742205

Step 1: Find the prime factorization of 8701

8701 = 7 x 11 x 113

Step 2: Find the prime factorization of 8705

8705 = 5 x 1741

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

LCM = 75742205 = 5 x 7 x 11 x 113 x 1741

Step 4: Therefore, the least common multiple of 8701 and 8705 is 75742205.