Least Common Multiple of 9630 and 9635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9630 and 9635 the smallest integer that is 18557010 that is divisible by both numbers.

Least Common Multiple (LCM) of 9630 and 9635 is 18557010.

LCM(9630,9635) = 18557010

LCM of 9630 and 9635

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

LCM of:
and

Least Common Multiple of 9630 and 9635

LCM of 9630 and 9635 is 18557010

Least common multiple can be found by multiplying the highest exponent prime factors of 9630 and 9635. First we will calculate the prime factors of 9630 and 9635.

Prime Factorization of 9630


2 9630
3 4815
3 1605
5 535
107 107
1

Prime factors of 9630 are 2, 3, 5,107. Prime factorization of 9630 in exponential form is:

9630 = 21×32×51×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9630 and 9635.

LCM(9630,9635) = 21×32×51×411×471×1071
LCM(9630,9635) = 18557010

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630

Factors of 9635

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

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

Least Common Multiple of 9630 and 9635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9630 and 9635, than apply into the LCM equation.

GCF(9630,9635) = 5
LCM(9630,9635) = ( 9630 × 9635) / 5
LCM(9630,9635) = 92785050 / 5
LCM(9630,9635) = 18557010

Properties of LCM 9630 and 9635

(i) The LCM of 9635 and 9630 is associative

LCM of 9630 and 9635 = LCM of 9635 and 9630

Related Least Common Multiples of 9630

Related Least Common Multiples of 9635

Frequently Asked Questions on LCM of 9630 and 9635

1. What is the LCM of 9630 and 9635?

Answer: LCM of 9630 and 9635 is 18557010.

2. What are the Factors of 9630?

Answer: Factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630. There are 24 integers that are factors of 9630. The greatest factor of 9630 is 9630.

3. 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.

4. How to Find the LCM of 9630 and 9635?

Answer:

Least Common Multiple of 9630 and 9635 = 18557010

Step 1: Find the prime factorization of 9630

9630 = 2 x 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 9635

9635 = 5 x 41 x 47

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

LCM = 18557010 = 2 x 3 x 3 x 5 x 41 x 47 x 107

Step 4: Therefore, the least common multiple of 9630 and 9635 is 18557010.