Least Common Multiple of 8657 and 8665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8657 and 8665 the smallest integer that is 75012905 that is divisible by both numbers.

Least Common Multiple (LCM) of 8657 and 8665 is 75012905.

LCM(8657,8665) = 75012905

LCM of 8657 and 8665

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

LCM of:
and

Least Common Multiple of 8657 and 8665

LCM of 8657 and 8665 is 75012905

Least common multiple can be found by multiplying the highest exponent prime factors of 8657 and 8665. First we will calculate the prime factors of 8657 and 8665.

Prime Factorization of 8657


11 8657
787 787
1

Prime factors of 8657 are 11,787. Prime factorization of 8657 in exponential form is:

8657 = 111×7871

Prime Factorization of 8665


5 8665
1733 1733
1

Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:

8665 = 51×17331

Now multiplying the highest exponent prime factors to calculate the LCM of 8657 and 8665.

LCM(8657,8665) = 51×111×7871×17331
LCM(8657,8665) = 75012905

Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1, 11, 787, 8657

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1, 5, 1733, 8665

Least Common Multiple of 8657 and 8665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8657 and 8665, than apply into the LCM equation.

GCF(8657,8665) = 1
LCM(8657,8665) = ( 8657 × 8665) / 1
LCM(8657,8665) = 75012905 / 1
LCM(8657,8665) = 75012905

Properties of LCM 8657 and 8665

(i) The LCM of 8665 and 8657 is associative

LCM of 8657 and 8665 = LCM of 8665 and 8657

Related Least Common Multiples of 8657

Related Least Common Multiples of 8665

Frequently Asked Questions on LCM of 8657 and 8665

1. What is the LCM of 8657 and 8665?

Answer: LCM of 8657 and 8665 is 75012905.

2. What are the Factors of 8657?

Answer: Factors of 8657 are 1, 11, 787, 8657. There are 4 integers that are factors of 8657. The greatest factor of 8657 is 8657.

3. What are the Factors of 8665?

Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.

4. How to Find the LCM of 8657 and 8665?

Answer:

Least Common Multiple of 8657 and 8665 = 75012905

Step 1: Find the prime factorization of 8657

8657 = 11 x 787

Step 2: Find the prime factorization of 8665

8665 = 5 x 1733

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

LCM = 75012905 = 5 x 11 x 787 x 1733

Step 4: Therefore, the least common multiple of 8657 and 8665 is 75012905.