Least Common Multiple of 8626 and 8627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8626 and 8627 the smallest integer that is 74416502 that is divisible by both numbers.

Least Common Multiple (LCM) of 8626 and 8627 is 74416502.

LCM(8626,8627) = 74416502

LCM of 8626 and 8627

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

LCM of:
and

Least Common Multiple of 8626 and 8627

LCM of 8626 and 8627 is 74416502

Least common multiple can be found by multiplying the highest exponent prime factors of 8626 and 8627. First we will calculate the prime factors of 8626 and 8627.

Prime Factorization of 8626


2 8626
19 4313
227 227
1

Prime factors of 8626 are 2, 19,227. Prime factorization of 8626 in exponential form is:

8626 = 21×191×2271

Prime Factorization of 8627


8627 8627
1

Prime factors of 8627 are 8627. Prime factorization of 8627 in exponential form is:

8627 = 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 8626 and 8627.

LCM(8626,8627) = 21×191×2271×86271
LCM(8626,8627) = 74416502

Factors of 8626

List of positive integer factors of 8626 that divides 8626 without a remainder.

1, 2, 19, 38, 227, 454, 4313, 8626

Factors of 8627

List of positive integer factors of 8627 that divides 8627 without a remainder.

1, 8627

Least Common Multiple of 8626 and 8627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8626 and 8627, than apply into the LCM equation.

GCF(8626,8627) = 1
LCM(8626,8627) = ( 8626 × 8627) / 1
LCM(8626,8627) = 74416502 / 1
LCM(8626,8627) = 74416502

Properties of LCM 8626 and 8627

(i) The LCM of 8627 and 8626 is associative

LCM of 8626 and 8627 = LCM of 8627 and 8626

Related Least Common Multiples of 8626

Related Least Common Multiples of 8627

Frequently Asked Questions on LCM of 8626 and 8627

1. What is the LCM of 8626 and 8627?

Answer: LCM of 8626 and 8627 is 74416502.

2. What are the Factors of 8626?

Answer: Factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626. There are 8 integers that are factors of 8626. The greatest factor of 8626 is 8626.

3. What are the Factors of 8627?

Answer: Factors of 8627 are 1, 8627. There are 2 integers that are factors of 8627. The greatest factor of 8627 is 8627.

4. How to Find the LCM of 8626 and 8627?

Answer:

Least Common Multiple of 8626 and 8627 = 74416502

Step 1: Find the prime factorization of 8626

8626 = 2 x 19 x 227

Step 2: Find the prime factorization of 8627

8627 = 8627

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

LCM = 74416502 = 2 x 19 x 227 x 8627

Step 4: Therefore, the least common multiple of 8626 and 8627 is 74416502.