Least Common Multiple of 8625 and 8631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8625 and 8631 the smallest integer that is 24814125 that is divisible by both numbers.

Least Common Multiple (LCM) of 8625 and 8631 is 24814125.

LCM(8625,8631) = 24814125

LCM of 8625 and 8631

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

LCM of:
and

Least Common Multiple of 8625 and 8631

LCM of 8625 and 8631 is 24814125

Least common multiple can be found by multiplying the highest exponent prime factors of 8625 and 8631. First we will calculate the prime factors of 8625 and 8631.

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

Prime Factorization of 8631


3 8631
3 2877
7 959
137 137
1

Prime factors of 8631 are 3, 7,137. Prime factorization of 8631 in exponential form is:

8631 = 32×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8625 and 8631.

LCM(8625,8631) = 32×53×71×231×1371
LCM(8625,8631) = 24814125

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

Factors of 8631

List of positive integer factors of 8631 that divides 8631 without a remainder.

1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631

Least Common Multiple of 8625 and 8631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8625 and 8631, than apply into the LCM equation.

GCF(8625,8631) = 3
LCM(8625,8631) = ( 8625 × 8631) / 3
LCM(8625,8631) = 74442375 / 3
LCM(8625,8631) = 24814125

Properties of LCM 8625 and 8631

(i) The LCM of 8631 and 8625 is associative

LCM of 8625 and 8631 = LCM of 8631 and 8625

Related Least Common Multiples of 8625

Related Least Common Multiples of 8631

Frequently Asked Questions on LCM of 8625 and 8631

1. What is the LCM of 8625 and 8631?

Answer: LCM of 8625 and 8631 is 24814125.

2. 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.

3. What are the Factors of 8631?

Answer: Factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631. There are 12 integers that are factors of 8631. The greatest factor of 8631 is 8631.

4. How to Find the LCM of 8625 and 8631?

Answer:

Least Common Multiple of 8625 and 8631 = 24814125

Step 1: Find the prime factorization of 8625

8625 = 3 x 5 x 5 x 5 x 23

Step 2: Find the prime factorization of 8631

8631 = 3 x 3 x 7 x 137

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

LCM = 24814125 = 3 x 3 x 5 x 5 x 5 x 7 x 23 x 137

Step 4: Therefore, the least common multiple of 8625 and 8631 is 24814125.