Least Common Multiple of 8618 and 8626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8618 and 8626 the smallest integer that is 37169434 that is divisible by both numbers.

Least Common Multiple (LCM) of 8618 and 8626 is 37169434.

LCM(8618,8626) = 37169434

LCM of 8618 and 8626

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

LCM of:
and

Least Common Multiple of 8618 and 8626

LCM of 8618 and 8626 is 37169434

Least common multiple can be found by multiplying the highest exponent prime factors of 8618 and 8626. First we will calculate the prime factors of 8618 and 8626.

Prime Factorization of 8618


2 8618
31 4309
139 139
1

Prime factors of 8618 are 2, 31,139. Prime factorization of 8618 in exponential form is:

8618 = 21×311×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8618 and 8626.

LCM(8618,8626) = 21×191×311×1391×2271
LCM(8618,8626) = 37169434

Factors of 8618

List of positive integer factors of 8618 that divides 8618 without a remainder.

1, 2, 31, 62, 139, 278, 4309, 8618

Factors of 8626

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

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

Least Common Multiple of 8618 and 8626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8618 and 8626, than apply into the LCM equation.

GCF(8618,8626) = 2
LCM(8618,8626) = ( 8618 × 8626) / 2
LCM(8618,8626) = 74338868 / 2
LCM(8618,8626) = 37169434

Properties of LCM 8618 and 8626

(i) The LCM of 8626 and 8618 is associative

LCM of 8618 and 8626 = LCM of 8626 and 8618

Related Least Common Multiples of 8618

Related Least Common Multiples of 8626

Frequently Asked Questions on LCM of 8618 and 8626

1. What is the LCM of 8618 and 8626?

Answer: LCM of 8618 and 8626 is 37169434.

2. What are the Factors of 8618?

Answer: Factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618. There are 8 integers that are factors of 8618. The greatest factor of 8618 is 8618.

3. 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.

4. How to Find the LCM of 8618 and 8626?

Answer:

Least Common Multiple of 8618 and 8626 = 37169434

Step 1: Find the prime factorization of 8618

8618 = 2 x 31 x 139

Step 2: Find the prime factorization of 8626

8626 = 2 x 19 x 227

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

LCM = 37169434 = 2 x 19 x 31 x 139 x 227

Step 4: Therefore, the least common multiple of 8618 and 8626 is 37169434.