Least Common Multiple of 431 and 433

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 433 the smallest integer that is 186623 that is divisible by both numbers.

Least Common Multiple (LCM) of 431 and 433 is 186623.

LCM(431,433) = 186623

LCM of 431 and 433

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

LCM of:
and

Least Common Multiple of 431 and 433

LCM of 431 and 433 is 186623

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 433. First we will calculate the prime factors of 431 and 433.

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 433


433 433
1

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

433 = 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 431 and 433.

LCM(431,433) = 4311×4331
LCM(431,433) = 186623

Factors of 431

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

1, 431

Factors of 433

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

1, 433

Least Common Multiple of 431 and 433 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 433, than apply into the LCM equation.

GCF(431,433) = 1
LCM(431,433) = ( 431 × 433) / 1
LCM(431,433) = 186623 / 1
LCM(431,433) = 186623

Properties of LCM 431 and 433

(i) The LCM of 433 and 431 is associative

LCM of 431 and 433 = LCM of 433 and 431

Related Least Common Multiples of 431

Related Least Common Multiples of 433

Frequently Asked Questions on LCM of 431 and 433

1. What is the LCM of 431 and 433?

Answer: LCM of 431 and 433 is 186623.

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 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

4. How to Find the LCM of 431 and 433?

Answer:

Least Common Multiple of 431 and 433 = 186623

Step 1: Find the prime factorization of 431

431 = 431

Step 2: Find the prime factorization of 433

433 = 433

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

LCM = 186623 = 431 x 433

Step 4: Therefore, the least common multiple of 431 and 433 is 186623.