Least Common Multiple of 425 and 431

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 431 the smallest integer that is 183175 that is divisible by both numbers.

Least Common Multiple (LCM) of 425 and 431 is 183175.

LCM(425,431) = 183175

LCM of 425 and 431

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

LCM of:
and

Least Common Multiple of 425 and 431

LCM of 425 and 431 is 183175

Least common multiple can be found by multiplying the highest exponent prime factors of 425 and 431. First we will calculate the prime factors of 425 and 431.

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 431


431 431
1

Prime factors of 431 are 431. Prime factorization of 431 in exponential form is:

431 = 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 425 and 431.

LCM(425,431) = 52×171×4311
LCM(425,431) = 183175

Factors of 425

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

1, 5, 17, 25, 85, 425

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1, 431

Least Common Multiple of 425 and 431 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 431, than apply into the LCM equation.

GCF(425,431) = 1
LCM(425,431) = ( 425 × 431) / 1
LCM(425,431) = 183175 / 1
LCM(425,431) = 183175

Properties of LCM 425 and 431

(i) The LCM of 431 and 425 is associative

LCM of 425 and 431 = LCM of 431 and 425

Related Least Common Multiples of 425

Related Least Common Multiples of 431

Frequently Asked Questions on LCM of 425 and 431

1. What is the LCM of 425 and 431?

Answer: LCM of 425 and 431 is 183175.

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 431?

Answer: Factors of 431 are 1, 431. There are 2 integers that are factors of 431. The greatest factor of 431 is 431.

4. How to Find the LCM of 425 and 431?

Answer:

Least Common Multiple of 425 and 431 = 183175

Step 1: Find the prime factorization of 425

425 = 5 x 5 x 17

Step 2: Find the prime factorization of 431

431 = 431

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

LCM = 183175 = 5 x 5 x 17 x 431

Step 4: Therefore, the least common multiple of 425 and 431 is 183175.