Least Common Multiple of 9655 and 9659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9655 and 9659 the smallest integer that is 93257645 that is divisible by both numbers.

Least Common Multiple (LCM) of 9655 and 9659 is 93257645.

LCM(9655,9659) = 93257645

LCM of 9655 and 9659

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

LCM of:
and

Least Common Multiple of 9655 and 9659

LCM of 9655 and 9659 is 93257645

Least common multiple can be found by multiplying the highest exponent prime factors of 9655 and 9659. First we will calculate the prime factors of 9655 and 9659.

Prime Factorization of 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

Prime Factorization of 9659


13 9659
743 743
1

Prime factors of 9659 are 13,743. Prime factorization of 9659 in exponential form is:

9659 = 131×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 9655 and 9659.

LCM(9655,9659) = 51×131×7431×19311
LCM(9655,9659) = 93257645

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1, 5, 1931, 9655

Factors of 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1, 13, 743, 9659

Least Common Multiple of 9655 and 9659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9655 and 9659, than apply into the LCM equation.

GCF(9655,9659) = 1
LCM(9655,9659) = ( 9655 × 9659) / 1
LCM(9655,9659) = 93257645 / 1
LCM(9655,9659) = 93257645

Properties of LCM 9655 and 9659

(i) The LCM of 9659 and 9655 is associative

LCM of 9655 and 9659 = LCM of 9659 and 9655

Related Least Common Multiples of 9655

Related Least Common Multiples of 9659

Frequently Asked Questions on LCM of 9655 and 9659

1. What is the LCM of 9655 and 9659?

Answer: LCM of 9655 and 9659 is 93257645.

2. What are the Factors of 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

3. What are the Factors of 9659?

Answer: Factors of 9659 are 1, 13, 743, 9659. There are 4 integers that are factors of 9659. The greatest factor of 9659 is 9659.

4. How to Find the LCM of 9655 and 9659?

Answer:

Least Common Multiple of 9655 and 9659 = 93257645

Step 1: Find the prime factorization of 9655

9655 = 5 x 1931

Step 2: Find the prime factorization of 9659

9659 = 13 x 743

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

LCM = 93257645 = 5 x 13 x 743 x 1931

Step 4: Therefore, the least common multiple of 9655 and 9659 is 93257645.