Least Common Multiple of 8618 and 8625

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 8625 the smallest integer that is 74330250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8618 and 8625 is 74330250.

LCM(8618,8625) = 74330250

LCM of 8618 and 8625

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

LCM of:
and

Least Common Multiple of 8618 and 8625

LCM of 8618 and 8625 is 74330250

Least common multiple can be found by multiplying the highest exponent prime factors of 8618 and 8625. First we will calculate the prime factors of 8618 and 8625.

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 8625


3 8625
5 2875
5 575
5 115
23 23
1

Prime factors of 8625 are 3, 5,23. Prime factorization of 8625 in exponential form is:

8625 = 31×53×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8618 and 8625.

LCM(8618,8625) = 21×31×53×231×311×1391
LCM(8618,8625) = 74330250

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 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625

Least Common Multiple of 8618 and 8625 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 8625, than apply into the LCM equation.

GCF(8618,8625) = 1
LCM(8618,8625) = ( 8618 × 8625) / 1
LCM(8618,8625) = 74330250 / 1
LCM(8618,8625) = 74330250

Properties of LCM 8618 and 8625

(i) The LCM of 8625 and 8618 is associative

LCM of 8618 and 8625 = LCM of 8625 and 8618

Related Least Common Multiples of 8618

Related Least Common Multiples of 8625

Frequently Asked Questions on LCM of 8618 and 8625

1. What is the LCM of 8618 and 8625?

Answer: LCM of 8618 and 8625 is 74330250.

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 8625?

Answer: Factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625. There are 16 integers that are factors of 8625. The greatest factor of 8625 is 8625.

4. How to Find the LCM of 8618 and 8625?

Answer:

Least Common Multiple of 8618 and 8625 = 74330250

Step 1: Find the prime factorization of 8618

8618 = 2 x 31 x 139

Step 2: Find the prime factorization of 8625

8625 = 3 x 5 x 5 x 5 x 23

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

LCM = 74330250 = 2 x 3 x 5 x 5 x 5 x 23 x 31 x 139

Step 4: Therefore, the least common multiple of 8618 and 8625 is 74330250.