Least Common Multiple of 8425 and 8433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8425 and 8433 the smallest integer that is 71048025 that is divisible by both numbers.

Least Common Multiple (LCM) of 8425 and 8433 is 71048025.

LCM(8425,8433) = 71048025

LCM of 8425 and 8433

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

LCM of:
and

Least Common Multiple of 8425 and 8433

LCM of 8425 and 8433 is 71048025

Least common multiple can be found by multiplying the highest exponent prime factors of 8425 and 8433. First we will calculate the prime factors of 8425 and 8433.

Prime Factorization of 8425


5 8425
5 1685
337 337
1

Prime factors of 8425 are 5,337. Prime factorization of 8425 in exponential form is:

8425 = 52×3371

Prime Factorization of 8433


3 8433
3 2811
937 937
1

Prime factors of 8433 are 3,937. Prime factorization of 8433 in exponential form is:

8433 = 32×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 8425 and 8433.

LCM(8425,8433) = 32×52×3371×9371
LCM(8425,8433) = 71048025

Factors of 8425

List of positive integer factors of 8425 that divides 8425 without a remainder.

1, 5, 25, 337, 1685, 8425

Factors of 8433

List of positive integer factors of 8433 that divides 8433 without a remainder.

1, 3, 9, 937, 2811, 8433

Least Common Multiple of 8425 and 8433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8425 and 8433, than apply into the LCM equation.

GCF(8425,8433) = 1
LCM(8425,8433) = ( 8425 × 8433) / 1
LCM(8425,8433) = 71048025 / 1
LCM(8425,8433) = 71048025

Properties of LCM 8425 and 8433

(i) The LCM of 8433 and 8425 is associative

LCM of 8425 and 8433 = LCM of 8433 and 8425

Related Least Common Multiples of 8425

Related Least Common Multiples of 8433

Frequently Asked Questions on LCM of 8425 and 8433

1. What is the LCM of 8425 and 8433?

Answer: LCM of 8425 and 8433 is 71048025.

2. What are the Factors of 8425?

Answer: Factors of 8425 are 1, 5, 25, 337, 1685, 8425. There are 6 integers that are factors of 8425. The greatest factor of 8425 is 8425.

3. What are the Factors of 8433?

Answer: Factors of 8433 are 1, 3, 9, 937, 2811, 8433. There are 6 integers that are factors of 8433. The greatest factor of 8433 is 8433.

4. How to Find the LCM of 8425 and 8433?

Answer:

Least Common Multiple of 8425 and 8433 = 71048025

Step 1: Find the prime factorization of 8425

8425 = 5 x 5 x 337

Step 2: Find the prime factorization of 8433

8433 = 3 x 3 x 937

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

LCM = 71048025 = 3 x 3 x 5 x 5 x 337 x 937

Step 4: Therefore, the least common multiple of 8425 and 8433 is 71048025.