Least Common Multiple of 9623 and 9627

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 9627 the smallest integer that is 92640621 that is divisible by both numbers.

Least Common Multiple (LCM) of 9623 and 9627 is 92640621.

LCM(9623,9627) = 92640621

LCM of 9623 and 9627

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

LCM of:
and

Least Common Multiple of 9623 and 9627

LCM of 9623 and 9627 is 92640621

Least common multiple can be found by multiplying the highest exponent prime factors of 9623 and 9627. First we will calculate the prime factors of 9623 and 9627.

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 9627


3 9627
3209 3209
1

Prime factors of 9627 are 3,3209. Prime factorization of 9627 in exponential form is:

9627 = 31×32091

Now multiplying the highest exponent prime factors to calculate the LCM of 9623 and 9627.

LCM(9623,9627) = 31×32091×96231
LCM(9623,9627) = 92640621

Factors of 9623

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

1, 9623

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1, 3, 3209, 9627

Least Common Multiple of 9623 and 9627 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 9627, than apply into the LCM equation.

GCF(9623,9627) = 1
LCM(9623,9627) = ( 9623 × 9627) / 1
LCM(9623,9627) = 92640621 / 1
LCM(9623,9627) = 92640621

Properties of LCM 9623 and 9627

(i) The LCM of 9627 and 9623 is associative

LCM of 9623 and 9627 = LCM of 9627 and 9623

Related Least Common Multiples of 9623

Related Least Common Multiples of 9627

Frequently Asked Questions on LCM of 9623 and 9627

1. What is the LCM of 9623 and 9627?

Answer: LCM of 9623 and 9627 is 92640621.

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 9627?

Answer: Factors of 9627 are 1, 3, 3209, 9627. There are 4 integers that are factors of 9627. The greatest factor of 9627 is 9627.

4. How to Find the LCM of 9623 and 9627?

Answer:

Least Common Multiple of 9623 and 9627 = 92640621

Step 1: Find the prime factorization of 9623

9623 = 9623

Step 2: Find the prime factorization of 9627

9627 = 3 x 3209

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

LCM = 92640621 = 3 x 3209 x 9623

Step 4: Therefore, the least common multiple of 9623 and 9627 is 92640621.