Least Common Multiple of 8444 and 8450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8444 and 8450 the smallest integer that is 35675900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8444 and 8450 is 35675900.

LCM(8444,8450) = 35675900

LCM of 8444 and 8450

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

LCM of:
and

Least Common Multiple of 8444 and 8450

LCM of 8444 and 8450 is 35675900

Least common multiple can be found by multiplying the highest exponent prime factors of 8444 and 8450. First we will calculate the prime factors of 8444 and 8450.

Prime Factorization of 8444


2 8444
2 4222
2111 2111
1

Prime factors of 8444 are 2,2111. Prime factorization of 8444 in exponential form is:

8444 = 22×21111

Prime Factorization of 8450


2 8450
5 4225
5 845
13 169
13 13
1

Prime factors of 8450 are 2, 5,13. Prime factorization of 8450 in exponential form is:

8450 = 21×52×132

Now multiplying the highest exponent prime factors to calculate the LCM of 8444 and 8450.

LCM(8444,8450) = 22×52×132×21111
LCM(8444,8450) = 35675900

Factors of 8444

List of positive integer factors of 8444 that divides 8444 without a remainder.

1, 2, 4, 2111, 4222, 8444

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450

Least Common Multiple of 8444 and 8450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8444 and 8450, than apply into the LCM equation.

GCF(8444,8450) = 2
LCM(8444,8450) = ( 8444 × 8450) / 2
LCM(8444,8450) = 71351800 / 2
LCM(8444,8450) = 35675900

Properties of LCM 8444 and 8450

(i) The LCM of 8450 and 8444 is associative

LCM of 8444 and 8450 = LCM of 8450 and 8444

Related Least Common Multiples of 8444

Related Least Common Multiples of 8450

Frequently Asked Questions on LCM of 8444 and 8450

1. What is the LCM of 8444 and 8450?

Answer: LCM of 8444 and 8450 is 35675900.

2. What are the Factors of 8444?

Answer: Factors of 8444 are 1, 2, 4, 2111, 4222, 8444. There are 6 integers that are factors of 8444. The greatest factor of 8444 is 8444.

3. What are the Factors of 8450?

Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.

4. How to Find the LCM of 8444 and 8450?

Answer:

Least Common Multiple of 8444 and 8450 = 35675900

Step 1: Find the prime factorization of 8444

8444 = 2 x 2 x 2111

Step 2: Find the prime factorization of 8450

8450 = 2 x 5 x 5 x 13 x 13

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

LCM = 35675900 = 2 x 2 x 5 x 5 x 13 x 13 x 2111

Step 4: Therefore, the least common multiple of 8444 and 8450 is 35675900.