Least Common Multiple of 423 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 423 and 431 the smallest integer that is 182313 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 431 is 182313.

LCM(423,431) = 182313

LCM of 423 and 431

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

LCM of:
and

Least Common Multiple of 423 and 431

LCM of 423 and 431 is 182313

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 431. First we will calculate the prime factors of 423 and 431.

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

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 423 and 431.

LCM(423,431) = 32×471×4311
LCM(423,431) = 182313

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Factors of 431

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

1, 431

Least Common Multiple of 423 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 423 and 431, than apply into the LCM equation.

GCF(423,431) = 1
LCM(423,431) = ( 423 × 431) / 1
LCM(423,431) = 182313 / 1
LCM(423,431) = 182313

Properties of LCM 423 and 431

(i) The LCM of 431 and 423 is associative

LCM of 423 and 431 = LCM of 431 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 431

Frequently Asked Questions on LCM of 423 and 431

1. What is the LCM of 423 and 431?

Answer: LCM of 423 and 431 is 182313.

2. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

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 423 and 431?

Answer:

Least Common Multiple of 423 and 431 = 182313

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 182313 = 3 x 3 x 47 x 431

Step 4: Therefore, the least common multiple of 423 and 431 is 182313.