Least Common Multiple of 9626 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 9626 and 9627 the smallest integer that is 92669502 that is divisible by both numbers.

Least Common Multiple (LCM) of 9626 and 9627 is 92669502.

LCM(9626,9627) = 92669502

LCM of 9626 and 9627

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

LCM of:
and

Least Common Multiple of 9626 and 9627

LCM of 9626 and 9627 is 92669502

Least common multiple can be found by multiplying the highest exponent prime factors of 9626 and 9627. First we will calculate the prime factors of 9626 and 9627.

Prime Factorization of 9626


2 9626
4813 4813
1

Prime factors of 9626 are 2,4813. Prime factorization of 9626 in exponential form is:

9626 = 21×48131

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 9626 and 9627.

LCM(9626,9627) = 21×31×32091×48131
LCM(9626,9627) = 92669502

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1, 2, 4813, 9626

Factors of 9627

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

1, 3, 3209, 9627

Least Common Multiple of 9626 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 9626 and 9627, than apply into the LCM equation.

GCF(9626,9627) = 1
LCM(9626,9627) = ( 9626 × 9627) / 1
LCM(9626,9627) = 92669502 / 1
LCM(9626,9627) = 92669502

Properties of LCM 9626 and 9627

(i) The LCM of 9627 and 9626 is associative

LCM of 9626 and 9627 = LCM of 9627 and 9626

Related Least Common Multiples of 9626

Related Least Common Multiples of 9627

Frequently Asked Questions on LCM of 9626 and 9627

1. What is the LCM of 9626 and 9627?

Answer: LCM of 9626 and 9627 is 92669502.

2. What are the Factors of 9626?

Answer: Factors of 9626 are 1, 2, 4813, 9626. There are 4 integers that are factors of 9626. The greatest factor of 9626 is 9626.

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 9626 and 9627?

Answer:

Least Common Multiple of 9626 and 9627 = 92669502

Step 1: Find the prime factorization of 9626

9626 = 2 x 4813

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 = 92669502 = 2 x 3 x 3209 x 4813

Step 4: Therefore, the least common multiple of 9626 and 9627 is 92669502.