Least Common Multiple of 431 and 439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 431 and 439 the smallest integer that is 189209 that is divisible by both numbers.

Least Common Multiple (LCM) of 431 and 439 is 189209.

LCM(431,439) = 189209

LCM of 431 and 439

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

LCM of:
and

Least Common Multiple of 431 and 439

LCM of 431 and 439 is 189209

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 439. First we will calculate the prime factors of 431 and 439.

Prime Factorization of 431


431 431
1

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

431 = 4311

Prime Factorization of 439


439 439
1

Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:

439 = 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 431 and 439.

LCM(431,439) = 4311×4391
LCM(431,439) = 189209

Factors of 431

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

1, 431

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1, 439

Least Common Multiple of 431 and 439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 431 and 439, than apply into the LCM equation.

GCF(431,439) = 1
LCM(431,439) = ( 431 × 439) / 1
LCM(431,439) = 189209 / 1
LCM(431,439) = 189209

Properties of LCM 431 and 439

(i) The LCM of 439 and 431 is associative

LCM of 431 and 439 = LCM of 439 and 431

Related Least Common Multiples of 431

Related Least Common Multiples of 439

Frequently Asked Questions on LCM of 431 and 439

1. What is the LCM of 431 and 439?

Answer: LCM of 431 and 439 is 189209.

2. 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.

3. What are the Factors of 439?

Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.

4. How to Find the LCM of 431 and 439?

Answer:

Least Common Multiple of 431 and 439 = 189209

Step 1: Find the prime factorization of 431

431 = 431

Step 2: Find the prime factorization of 439

439 = 439

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

LCM = 189209 = 431 x 439

Step 4: Therefore, the least common multiple of 431 and 439 is 189209.