Least Common Multiple of 8638 and 8645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8638 and 8645 the smallest integer that is 10667930 that is divisible by both numbers.

Least Common Multiple (LCM) of 8638 and 8645 is 10667930.

LCM(8638,8645) = 10667930

LCM of 8638 and 8645

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

LCM of:
and

Least Common Multiple of 8638 and 8645

LCM of 8638 and 8645 is 10667930

Least common multiple can be found by multiplying the highest exponent prime factors of 8638 and 8645. First we will calculate the prime factors of 8638 and 8645.

Prime Factorization of 8638


2 8638
7 4319
617 617
1

Prime factors of 8638 are 2, 7,617. Prime factorization of 8638 in exponential form is:

8638 = 21×71×6171

Prime Factorization of 8645


5 8645
7 1729
13 247
19 19
1

Prime factors of 8645 are 5, 7, 13,19. Prime factorization of 8645 in exponential form is:

8645 = 51×71×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8638 and 8645.

LCM(8638,8645) = 21×51×71×131×191×6171
LCM(8638,8645) = 10667930

Factors of 8638

List of positive integer factors of 8638 that divides 8638 without a remainder.

1, 2, 7, 14, 617, 1234, 4319, 8638

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645

Least Common Multiple of 8638 and 8645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8638 and 8645, than apply into the LCM equation.

GCF(8638,8645) = 7
LCM(8638,8645) = ( 8638 × 8645) / 7
LCM(8638,8645) = 74675510 / 7
LCM(8638,8645) = 10667930

Properties of LCM 8638 and 8645

(i) The LCM of 8645 and 8638 is associative

LCM of 8638 and 8645 = LCM of 8645 and 8638

Related Least Common Multiples of 8638

Related Least Common Multiples of 8645

Frequently Asked Questions on LCM of 8638 and 8645

1. What is the LCM of 8638 and 8645?

Answer: LCM of 8638 and 8645 is 10667930.

2. What are the Factors of 8638?

Answer: Factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638. There are 8 integers that are factors of 8638. The greatest factor of 8638 is 8638.

3. What are the Factors of 8645?

Answer: Factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645. There are 16 integers that are factors of 8645. The greatest factor of 8645 is 8645.

4. How to Find the LCM of 8638 and 8645?

Answer:

Least Common Multiple of 8638 and 8645 = 10667930

Step 1: Find the prime factorization of 8638

8638 = 2 x 7 x 617

Step 2: Find the prime factorization of 8645

8645 = 5 x 7 x 13 x 19

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

LCM = 10667930 = 2 x 5 x 7 x 13 x 19 x 617

Step 4: Therefore, the least common multiple of 8638 and 8645 is 10667930.