Least Common Multiple of 433 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 433 and 439 the smallest integer that is 190087 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 439 is 190087.

LCM(433,439) = 190087

LCM of 433 and 439

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

LCM of:
and

Least Common Multiple of 433 and 439

LCM of 433 and 439 is 190087

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 439. First we will calculate the prime factors of 433 and 439.

Prime Factorization of 433


433 433
1

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

433 = 4331

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 433 and 439.

LCM(433,439) = 4331×4391
LCM(433,439) = 190087

Factors of 433

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

1, 433

Factors of 439

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

1, 439

Least Common Multiple of 433 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 433 and 439, than apply into the LCM equation.

GCF(433,439) = 1
LCM(433,439) = ( 433 × 439) / 1
LCM(433,439) = 190087 / 1
LCM(433,439) = 190087

Properties of LCM 433 and 439

(i) The LCM of 439 and 433 is associative

LCM of 433 and 439 = LCM of 439 and 433

Frequently Asked Questions on LCM of 433 and 439

1. What is the LCM of 433 and 439?

Answer: LCM of 433 and 439 is 190087.

2. 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.

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 433 and 439?

Answer:

Least Common Multiple of 433 and 439 = 190087

Step 1: Find the prime factorization of 433

433 = 433

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 = 190087 = 433 x 439

Step 4: Therefore, the least common multiple of 433 and 439 is 190087.