Least Common Multiple of 425 and 433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 425 and 433 the smallest integer that is 184025 that is divisible by both numbers.

Least Common Multiple (LCM) of 425 and 433 is 184025.

LCM(425,433) = 184025

LCM of 425 and 433

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

LCM of:
and

Least Common Multiple of 425 and 433

LCM of 425 and 433 is 184025

Least common multiple can be found by multiplying the highest exponent prime factors of 425 and 433. First we will calculate the prime factors of 425 and 433.

Prime Factorization of 425


5 425
5 85
17 17
1

Prime factors of 425 are 5,17. Prime factorization of 425 in exponential form is:

425 = 52×171

Prime Factorization of 433


433 433
1

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 425 and 433.

LCM(425,433) = 52×171×4331
LCM(425,433) = 184025

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1, 433

Least Common Multiple of 425 and 433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 425 and 433, than apply into the LCM equation.

GCF(425,433) = 1
LCM(425,433) = ( 425 × 433) / 1
LCM(425,433) = 184025 / 1
LCM(425,433) = 184025

Properties of LCM 425 and 433

(i) The LCM of 433 and 425 is associative

LCM of 425 and 433 = LCM of 433 and 425

Related Least Common Multiples of 425

Related Least Common Multiples of 433

Frequently Asked Questions on LCM of 425 and 433

1. What is the LCM of 425 and 433?

Answer: LCM of 425 and 433 is 184025.

2. What are the Factors of 425?

Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.

3. What are the Factors of 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

4. How to Find the LCM of 425 and 433?

Answer:

Least Common Multiple of 425 and 433 = 184025

Step 1: Find the prime factorization of 425

425 = 5 x 5 x 17

Step 2: Find the prime factorization of 433

433 = 433

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

LCM = 184025 = 5 x 5 x 17 x 433

Step 4: Therefore, the least common multiple of 425 and 433 is 184025.