Least Common Multiple of 8701 and 8708

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 8708 the smallest integer that is 10824044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8701 and 8708 is 10824044.

LCM(8701,8708) = 10824044

LCM of 8701 and 8708

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

LCM of:
and

Least Common Multiple of 8701 and 8708

LCM of 8701 and 8708 is 10824044

Least common multiple can be found by multiplying the highest exponent prime factors of 8701 and 8708. First we will calculate the prime factors of 8701 and 8708.

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 8708


2 8708
2 4354
7 2177
311 311
1

Prime factors of 8708 are 2, 7,311. Prime factorization of 8708 in exponential form is:

8708 = 22×71×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 8701 and 8708.

LCM(8701,8708) = 22×71×111×1131×3111
LCM(8701,8708) = 10824044

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 8708

List of positive integer factors of 8708 that divides 8708 without a remainder.

1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708

Least Common Multiple of 8701 and 8708 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 8708, than apply into the LCM equation.

GCF(8701,8708) = 7
LCM(8701,8708) = ( 8701 × 8708) / 7
LCM(8701,8708) = 75768308 / 7
LCM(8701,8708) = 10824044

Properties of LCM 8701 and 8708

(i) The LCM of 8708 and 8701 is associative

LCM of 8701 and 8708 = LCM of 8708 and 8701

Related Least Common Multiples of 8701

Related Least Common Multiples of 8708

Frequently Asked Questions on LCM of 8701 and 8708

1. What is the LCM of 8701 and 8708?

Answer: LCM of 8701 and 8708 is 10824044.

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 8708?

Answer: Factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708. There are 12 integers that are factors of 8708. The greatest factor of 8708 is 8708.

4. How to Find the LCM of 8701 and 8708?

Answer:

Least Common Multiple of 8701 and 8708 = 10824044

Step 1: Find the prime factorization of 8701

8701 = 7 x 11 x 113

Step 2: Find the prime factorization of 8708

8708 = 2 x 2 x 7 x 311

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

LCM = 10824044 = 2 x 2 x 7 x 11 x 113 x 311

Step 4: Therefore, the least common multiple of 8701 and 8708 is 10824044.