Least Common Multiple of 9629 and 9634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9629 and 9634 the smallest integer that is 92765786 that is divisible by both numbers.

Least Common Multiple (LCM) of 9629 and 9634 is 92765786.

LCM(9629,9634) = 92765786

LCM of 9629 and 9634

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

LCM of:
and

Least Common Multiple of 9629 and 9634

LCM of 9629 and 9634 is 92765786

Least common multiple can be found by multiplying the highest exponent prime factors of 9629 and 9634. First we will calculate the prime factors of 9629 and 9634.

Prime Factorization of 9629


9629 9629
1

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 96291

Prime Factorization of 9634


2 9634
4817 4817
1

Prime factors of 9634 are 2,4817. Prime factorization of 9634 in exponential form is:

9634 = 21×48171

Now multiplying the highest exponent prime factors to calculate the LCM of 9629 and 9634.

LCM(9629,9634) = 21×48171×96291
LCM(9629,9634) = 92765786

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1, 9629

Factors of 9634

List of positive integer factors of 9634 that divides 9634 without a remainder.

1, 2, 4817, 9634

Least Common Multiple of 9629 and 9634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9629 and 9634, than apply into the LCM equation.

GCF(9629,9634) = 1
LCM(9629,9634) = ( 9629 × 9634) / 1
LCM(9629,9634) = 92765786 / 1
LCM(9629,9634) = 92765786

Properties of LCM 9629 and 9634

(i) The LCM of 9634 and 9629 is associative

LCM of 9629 and 9634 = LCM of 9634 and 9629

Related Least Common Multiples of 9629

Related Least Common Multiples of 9634

Frequently Asked Questions on LCM of 9629 and 9634

1. What is the LCM of 9629 and 9634?

Answer: LCM of 9629 and 9634 is 92765786.

2. What are the Factors of 9629?

Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.

3. What are the Factors of 9634?

Answer: Factors of 9634 are 1, 2, 4817, 9634. There are 4 integers that are factors of 9634. The greatest factor of 9634 is 9634.

4. How to Find the LCM of 9629 and 9634?

Answer:

Least Common Multiple of 9629 and 9634 = 92765786

Step 1: Find the prime factorization of 9629

9629 = 9629

Step 2: Find the prime factorization of 9634

9634 = 2 x 4817

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

LCM = 92765786 = 2 x 4817 x 9629

Step 4: Therefore, the least common multiple of 9629 and 9634 is 92765786.