Least Common Multiple of 9628 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 9628 and 9634 the smallest integer that is 46378076 that is divisible by both numbers.

Least Common Multiple (LCM) of 9628 and 9634 is 46378076.

LCM(9628,9634) = 46378076

LCM of 9628 and 9634

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

LCM of:
and

Least Common Multiple of 9628 and 9634

LCM of 9628 and 9634 is 46378076

Least common multiple can be found by multiplying the highest exponent prime factors of 9628 and 9634. First we will calculate the prime factors of 9628 and 9634.

Prime Factorization of 9628


2 9628
2 4814
29 2407
83 83
1

Prime factors of 9628 are 2, 29,83. Prime factorization of 9628 in exponential form is:

9628 = 22×291×831

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 9628 and 9634.

LCM(9628,9634) = 22×291×831×48171
LCM(9628,9634) = 46378076

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628

Factors of 9634

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

1, 2, 4817, 9634

Least Common Multiple of 9628 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 9628 and 9634, than apply into the LCM equation.

GCF(9628,9634) = 2
LCM(9628,9634) = ( 9628 × 9634) / 2
LCM(9628,9634) = 92756152 / 2
LCM(9628,9634) = 46378076

Properties of LCM 9628 and 9634

(i) The LCM of 9634 and 9628 is associative

LCM of 9628 and 9634 = LCM of 9634 and 9628

Related Least Common Multiples of 9628

Related Least Common Multiples of 9634

Frequently Asked Questions on LCM of 9628 and 9634

1. What is the LCM of 9628 and 9634?

Answer: LCM of 9628 and 9634 is 46378076.

2. What are the Factors of 9628?

Answer: Factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628. There are 12 integers that are factors of 9628. The greatest factor of 9628 is 9628.

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 9628 and 9634?

Answer:

Least Common Multiple of 9628 and 9634 = 46378076

Step 1: Find the prime factorization of 9628

9628 = 2 x 2 x 29 x 83

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 = 46378076 = 2 x 2 x 29 x 83 x 4817

Step 4: Therefore, the least common multiple of 9628 and 9634 is 46378076.