Least Common Multiple of 8638 and 8643

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 8643 the smallest integer that is 74658234 that is divisible by both numbers.

Least Common Multiple (LCM) of 8638 and 8643 is 74658234.

LCM(8638,8643) = 74658234

LCM of 8638 and 8643

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

LCM of:
and

Least Common Multiple of 8638 and 8643

LCM of 8638 and 8643 is 74658234

Least common multiple can be found by multiplying the highest exponent prime factors of 8638 and 8643. First we will calculate the prime factors of 8638 and 8643.

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 8643


3 8643
43 2881
67 67
1

Prime factors of 8643 are 3, 43,67. Prime factorization of 8643 in exponential form is:

8643 = 31×431×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8638 and 8643.

LCM(8638,8643) = 21×31×71×431×671×6171
LCM(8638,8643) = 74658234

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 8643

List of positive integer factors of 8643 that divides 8643 without a remainder.

1, 3, 43, 67, 129, 201, 2881, 8643

Least Common Multiple of 8638 and 8643 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 8643, than apply into the LCM equation.

GCF(8638,8643) = 1
LCM(8638,8643) = ( 8638 × 8643) / 1
LCM(8638,8643) = 74658234 / 1
LCM(8638,8643) = 74658234

Properties of LCM 8638 and 8643

(i) The LCM of 8643 and 8638 is associative

LCM of 8638 and 8643 = LCM of 8643 and 8638

Related Least Common Multiples of 8638

Related Least Common Multiples of 8643

Frequently Asked Questions on LCM of 8638 and 8643

1. What is the LCM of 8638 and 8643?

Answer: LCM of 8638 and 8643 is 74658234.

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 8643?

Answer: Factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643. There are 8 integers that are factors of 8643. The greatest factor of 8643 is 8643.

4. How to Find the LCM of 8638 and 8643?

Answer:

Least Common Multiple of 8638 and 8643 = 74658234

Step 1: Find the prime factorization of 8638

8638 = 2 x 7 x 617

Step 2: Find the prime factorization of 8643

8643 = 3 x 43 x 67

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

LCM = 74658234 = 2 x 3 x 7 x 43 x 67 x 617

Step 4: Therefore, the least common multiple of 8638 and 8643 is 74658234.