Least Common Multiple of 424 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 424 and 431 the smallest integer that is 182744 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 431 is 182744.

LCM(424,431) = 182744

LCM of 424 and 431

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

LCM of:
and

Least Common Multiple of 424 and 431

LCM of 424 and 431 is 182744

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 431. First we will calculate the prime factors of 424 and 431.

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

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 424 and 431.

LCM(424,431) = 23×531×4311
LCM(424,431) = 182744

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Factors of 431

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

1, 431

Least Common Multiple of 424 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 424 and 431, than apply into the LCM equation.

GCF(424,431) = 1
LCM(424,431) = ( 424 × 431) / 1
LCM(424,431) = 182744 / 1
LCM(424,431) = 182744

Properties of LCM 424 and 431

(i) The LCM of 431 and 424 is associative

LCM of 424 and 431 = LCM of 431 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 431

Frequently Asked Questions on LCM of 424 and 431

1. What is the LCM of 424 and 431?

Answer: LCM of 424 and 431 is 182744.

2. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

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 424 and 431?

Answer:

Least Common Multiple of 424 and 431 = 182744

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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 = 182744 = 2 x 2 x 2 x 53 x 431

Step 4: Therefore, the least common multiple of 424 and 431 is 182744.