Least Common Multiple of 8695 and 8701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8695 and 8701 the smallest integer that is 75655195 that is divisible by both numbers.

Least Common Multiple (LCM) of 8695 and 8701 is 75655195.

LCM(8695,8701) = 75655195

LCM of 8695 and 8701

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

LCM of:
and

Least Common Multiple of 8695 and 8701

LCM of 8695 and 8701 is 75655195

Least common multiple can be found by multiplying the highest exponent prime factors of 8695 and 8701. First we will calculate the prime factors of 8695 and 8701.

Prime Factorization of 8695


5 8695
37 1739
47 47
1

Prime factors of 8695 are 5, 37,47. Prime factorization of 8695 in exponential form is:

8695 = 51×371×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8695 and 8701.

LCM(8695,8701) = 51×71×111×371×471×1131
LCM(8695,8701) = 75655195

Factors of 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1, 5, 37, 47, 185, 235, 1739, 8695

Factors of 8701

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

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

Least Common Multiple of 8695 and 8701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8695 and 8701, than apply into the LCM equation.

GCF(8695,8701) = 1
LCM(8695,8701) = ( 8695 × 8701) / 1
LCM(8695,8701) = 75655195 / 1
LCM(8695,8701) = 75655195

Properties of LCM 8695 and 8701

(i) The LCM of 8701 and 8695 is associative

LCM of 8695 and 8701 = LCM of 8701 and 8695

Related Least Common Multiples of 8695

Related Least Common Multiples of 8701

Frequently Asked Questions on LCM of 8695 and 8701

1. What is the LCM of 8695 and 8701?

Answer: LCM of 8695 and 8701 is 75655195.

2. What are the Factors of 8695?

Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.

3. 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.

4. How to Find the LCM of 8695 and 8701?

Answer:

Least Common Multiple of 8695 and 8701 = 75655195

Step 1: Find the prime factorization of 8695

8695 = 5 x 37 x 47

Step 2: Find the prime factorization of 8701

8701 = 7 x 11 x 113

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

LCM = 75655195 = 5 x 7 x 11 x 37 x 47 x 113

Step 4: Therefore, the least common multiple of 8695 and 8701 is 75655195.