Least Common Multiple of 9623 and 9628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9623 and 9628 the smallest integer that is 92650244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9623 and 9628 is 92650244.

LCM(9623,9628) = 92650244

LCM of 9623 and 9628

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

LCM of:
and

Least Common Multiple of 9623 and 9628

LCM of 9623 and 9628 is 92650244

Least common multiple can be found by multiplying the highest exponent prime factors of 9623 and 9628. First we will calculate the prime factors of 9623 and 9628.

Prime Factorization of 9623


9623 9623
1

Prime factors of 9623 are 9623. Prime factorization of 9623 in exponential form is:

9623 = 96231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9623 and 9628.

LCM(9623,9628) = 22×291×831×96231
LCM(9623,9628) = 92650244

Factors of 9623

List of positive integer factors of 9623 that divides 9623 without a remainder.

1, 9623

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

Least Common Multiple of 9623 and 9628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9623 and 9628, than apply into the LCM equation.

GCF(9623,9628) = 1
LCM(9623,9628) = ( 9623 × 9628) / 1
LCM(9623,9628) = 92650244 / 1
LCM(9623,9628) = 92650244

Properties of LCM 9623 and 9628

(i) The LCM of 9628 and 9623 is associative

LCM of 9623 and 9628 = LCM of 9628 and 9623

Related Least Common Multiples of 9623

Related Least Common Multiples of 9628

Frequently Asked Questions on LCM of 9623 and 9628

1. What is the LCM of 9623 and 9628?

Answer: LCM of 9623 and 9628 is 92650244.

2. What are the Factors of 9623?

Answer: Factors of 9623 are 1, 9623. There are 2 integers that are factors of 9623. The greatest factor of 9623 is 9623.

3. 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.

4. How to Find the LCM of 9623 and 9628?

Answer:

Least Common Multiple of 9623 and 9628 = 92650244

Step 1: Find the prime factorization of 9623

9623 = 9623

Step 2: Find the prime factorization of 9628

9628 = 2 x 2 x 29 x 83

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

LCM = 92650244 = 2 x 2 x 29 x 83 x 9623

Step 4: Therefore, the least common multiple of 9623 and 9628 is 92650244.