Least Common Multiple of 8438 and 8445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8438 and 8445 the smallest integer that is 71258910 that is divisible by both numbers.

Least Common Multiple (LCM) of 8438 and 8445 is 71258910.

LCM(8438,8445) = 71258910

LCM of 8438 and 8445

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

LCM of:
and

Least Common Multiple of 8438 and 8445

LCM of 8438 and 8445 is 71258910

Least common multiple can be found by multiplying the highest exponent prime factors of 8438 and 8445. First we will calculate the prime factors of 8438 and 8445.

Prime Factorization of 8438


2 8438
4219 4219
1

Prime factors of 8438 are 2,4219. Prime factorization of 8438 in exponential form is:

8438 = 21×42191

Prime Factorization of 8445


3 8445
5 2815
563 563
1

Prime factors of 8445 are 3, 5,563. Prime factorization of 8445 in exponential form is:

8445 = 31×51×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 8438 and 8445.

LCM(8438,8445) = 21×31×51×5631×42191
LCM(8438,8445) = 71258910

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1, 2, 4219, 8438

Factors of 8445

List of positive integer factors of 8445 that divides 8445 without a remainder.

1, 3, 5, 15, 563, 1689, 2815, 8445

Least Common Multiple of 8438 and 8445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8438 and 8445, than apply into the LCM equation.

GCF(8438,8445) = 1
LCM(8438,8445) = ( 8438 × 8445) / 1
LCM(8438,8445) = 71258910 / 1
LCM(8438,8445) = 71258910

Properties of LCM 8438 and 8445

(i) The LCM of 8445 and 8438 is associative

LCM of 8438 and 8445 = LCM of 8445 and 8438

Related Least Common Multiples of 8438

Related Least Common Multiples of 8445

Frequently Asked Questions on LCM of 8438 and 8445

1. What is the LCM of 8438 and 8445?

Answer: LCM of 8438 and 8445 is 71258910.

2. What are the Factors of 8438?

Answer: Factors of 8438 are 1, 2, 4219, 8438. There are 4 integers that are factors of 8438. The greatest factor of 8438 is 8438.

3. What are the Factors of 8445?

Answer: Factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445. There are 8 integers that are factors of 8445. The greatest factor of 8445 is 8445.

4. How to Find the LCM of 8438 and 8445?

Answer:

Least Common Multiple of 8438 and 8445 = 71258910

Step 1: Find the prime factorization of 8438

8438 = 2 x 4219

Step 2: Find the prime factorization of 8445

8445 = 3 x 5 x 563

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

LCM = 71258910 = 2 x 3 x 5 x 563 x 4219

Step 4: Therefore, the least common multiple of 8438 and 8445 is 71258910.