Least Common Multiple of 8627 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 8627 and 8631 the smallest integer that is 74459637 that is divisible by both numbers.

Least Common Multiple (LCM) of 8627 and 8631 is 74459637.

LCM(8627,8631) = 74459637

LCM of 8627 and 8631

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

LCM of:
and

Least Common Multiple of 8627 and 8631

LCM of 8627 and 8631 is 74459637

Least common multiple can be found by multiplying the highest exponent prime factors of 8627 and 8631. First we will calculate the prime factors of 8627 and 8631.

Prime Factorization of 8627


8627 8627
1

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

8627 = 86271

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 8627 and 8631.

LCM(8627,8631) = 32×71×1371×86271
LCM(8627,8631) = 74459637

Factors of 8627

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

1, 8627

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 8627 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 8627 and 8631, than apply into the LCM equation.

GCF(8627,8631) = 1
LCM(8627,8631) = ( 8627 × 8631) / 1
LCM(8627,8631) = 74459637 / 1
LCM(8627,8631) = 74459637

Properties of LCM 8627 and 8631

(i) The LCM of 8631 and 8627 is associative

LCM of 8627 and 8631 = LCM of 8631 and 8627

Related Least Common Multiples of 8627

Related Least Common Multiples of 8631

Frequently Asked Questions on LCM of 8627 and 8631

1. What is the LCM of 8627 and 8631?

Answer: LCM of 8627 and 8631 is 74459637.

2. 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.

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 8627 and 8631?

Answer:

Least Common Multiple of 8627 and 8631 = 74459637

Step 1: Find the prime factorization of 8627

8627 = 8627

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 = 74459637 = 3 x 3 x 7 x 137 x 8627

Step 4: Therefore, the least common multiple of 8627 and 8631 is 74459637.