Least Common Multiple of 9635 and 9643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9635 and 9643 the smallest integer that is 92910305 that is divisible by both numbers.

Least Common Multiple (LCM) of 9635 and 9643 is 92910305.

LCM(9635,9643) = 92910305

LCM of 9635 and 9643

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

LCM of:
and

Least Common Multiple of 9635 and 9643

LCM of 9635 and 9643 is 92910305

Least common multiple can be found by multiplying the highest exponent prime factors of 9635 and 9643. First we will calculate the prime factors of 9635 and 9643.

Prime Factorization of 9635


5 9635
41 1927
47 47
1

Prime factors of 9635 are 5, 41,47. Prime factorization of 9635 in exponential form is:

9635 = 51×411×471

Prime Factorization of 9643


9643 9643
1

Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:

9643 = 96431

Now multiplying the highest exponent prime factors to calculate the LCM of 9635 and 9643.

LCM(9635,9643) = 51×411×471×96431
LCM(9635,9643) = 92910305

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1, 5, 41, 47, 205, 235, 1927, 9635

Factors of 9643

List of positive integer factors of 9643 that divides 9643 without a remainder.

1, 9643

Least Common Multiple of 9635 and 9643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9635 and 9643, than apply into the LCM equation.

GCF(9635,9643) = 1
LCM(9635,9643) = ( 9635 × 9643) / 1
LCM(9635,9643) = 92910305 / 1
LCM(9635,9643) = 92910305

Properties of LCM 9635 and 9643

(i) The LCM of 9643 and 9635 is associative

LCM of 9635 and 9643 = LCM of 9643 and 9635

Related Least Common Multiples of 9635

Related Least Common Multiples of 9643

Frequently Asked Questions on LCM of 9635 and 9643

1. What is the LCM of 9635 and 9643?

Answer: LCM of 9635 and 9643 is 92910305.

2. What are the Factors of 9635?

Answer: Factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635. There are 8 integers that are factors of 9635. The greatest factor of 9635 is 9635.

3. What are the Factors of 9643?

Answer: Factors of 9643 are 1, 9643. There are 2 integers that are factors of 9643. The greatest factor of 9643 is 9643.

4. How to Find the LCM of 9635 and 9643?

Answer:

Least Common Multiple of 9635 and 9643 = 92910305

Step 1: Find the prime factorization of 9635

9635 = 5 x 41 x 47

Step 2: Find the prime factorization of 9643

9643 = 9643

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

LCM = 92910305 = 5 x 41 x 47 x 9643

Step 4: Therefore, the least common multiple of 9635 and 9643 is 92910305.