Least Common Multiple of 9635 and 9642

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 9642 the smallest integer that is 92900670 that is divisible by both numbers.

Least Common Multiple (LCM) of 9635 and 9642 is 92900670.

LCM(9635,9642) = 92900670

LCM of 9635 and 9642

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

LCM of:
and

Least Common Multiple of 9635 and 9642

LCM of 9635 and 9642 is 92900670

Least common multiple can be found by multiplying the highest exponent prime factors of 9635 and 9642. First we will calculate the prime factors of 9635 and 9642.

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 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2, 3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

Now multiplying the highest exponent prime factors to calculate the LCM of 9635 and 9642.

LCM(9635,9642) = 21×31×51×411×471×16071
LCM(9635,9642) = 92900670

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 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821, 9642

Least Common Multiple of 9635 and 9642 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 9642, than apply into the LCM equation.

GCF(9635,9642) = 1
LCM(9635,9642) = ( 9635 × 9642) / 1
LCM(9635,9642) = 92900670 / 1
LCM(9635,9642) = 92900670

Properties of LCM 9635 and 9642

(i) The LCM of 9642 and 9635 is associative

LCM of 9635 and 9642 = LCM of 9642 and 9635

Related Least Common Multiples of 9635

Related Least Common Multiples of 9642

Frequently Asked Questions on LCM of 9635 and 9642

1. What is the LCM of 9635 and 9642?

Answer: LCM of 9635 and 9642 is 92900670.

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 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

4. How to Find the LCM of 9635 and 9642?

Answer:

Least Common Multiple of 9635 and 9642 = 92900670

Step 1: Find the prime factorization of 9635

9635 = 5 x 41 x 47

Step 2: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

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

LCM = 92900670 = 2 x 3 x 5 x 41 x 47 x 1607

Step 4: Therefore, the least common multiple of 9635 and 9642 is 92900670.