Least Common Multiple of 8445 and 8446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8445 and 8446 the smallest integer that is 71326470 that is divisible by both numbers.

Least Common Multiple (LCM) of 8445 and 8446 is 71326470.

LCM(8445,8446) = 71326470

LCM of 8445 and 8446

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

LCM of:
and

Least Common Multiple of 8445 and 8446

LCM of 8445 and 8446 is 71326470

Least common multiple can be found by multiplying the highest exponent prime factors of 8445 and 8446. First we will calculate the prime factors of 8445 and 8446.

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

Prime Factorization of 8446


2 8446
41 4223
103 103
1

Prime factors of 8446 are 2, 41,103. Prime factorization of 8446 in exponential form is:

8446 = 21×411×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8445 and 8446.

LCM(8445,8446) = 21×31×51×411×1031×5631
LCM(8445,8446) = 71326470

Factors of 8445

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

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

Factors of 8446

List of positive integer factors of 8446 that divides 8446 without a remainder.

1, 2, 41, 82, 103, 206, 4223, 8446

Least Common Multiple of 8445 and 8446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8445 and 8446, than apply into the LCM equation.

GCF(8445,8446) = 1
LCM(8445,8446) = ( 8445 × 8446) / 1
LCM(8445,8446) = 71326470 / 1
LCM(8445,8446) = 71326470

Properties of LCM 8445 and 8446

(i) The LCM of 8446 and 8445 is associative

LCM of 8445 and 8446 = LCM of 8446 and 8445

Related Least Common Multiples of 8445

Related Least Common Multiples of 8446

Frequently Asked Questions on LCM of 8445 and 8446

1. What is the LCM of 8445 and 8446?

Answer: LCM of 8445 and 8446 is 71326470.

2. 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.

3. What are the Factors of 8446?

Answer: Factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446. There are 8 integers that are factors of 8446. The greatest factor of 8446 is 8446.

4. How to Find the LCM of 8445 and 8446?

Answer:

Least Common Multiple of 8445 and 8446 = 71326470

Step 1: Find the prime factorization of 8445

8445 = 3 x 5 x 563

Step 2: Find the prime factorization of 8446

8446 = 2 x 41 x 103

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

LCM = 71326470 = 2 x 3 x 5 x 41 x 103 x 563

Step 4: Therefore, the least common multiple of 8445 and 8446 is 71326470.