Least Common Multiple of 433 and 434

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 434 the smallest integer that is 187922 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 434 is 187922.

LCM(433,434) = 187922

LCM of 433 and 434

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

LCM of:
and

Least Common Multiple of 433 and 434

LCM of 433 and 434 is 187922

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 434. First we will calculate the prime factors of 433 and 434.

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 434


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 434.

LCM(433,434) = 21×71×311×4331
LCM(433,434) = 187922

Factors of 433

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

1, 433

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Least Common Multiple of 433 and 434 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 434, than apply into the LCM equation.

GCF(433,434) = 1
LCM(433,434) = ( 433 × 434) / 1
LCM(433,434) = 187922 / 1
LCM(433,434) = 187922

Properties of LCM 433 and 434

(i) The LCM of 434 and 433 is associative

LCM of 433 and 434 = LCM of 434 and 433

Related Least Common Multiples of 433

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 433 and 434

1. What is the LCM of 433 and 434?

Answer: LCM of 433 and 434 is 187922.

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 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

4. How to Find the LCM of 433 and 434?

Answer:

Least Common Multiple of 433 and 434 = 187922

Step 1: Find the prime factorization of 433

433 = 433

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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

LCM = 187922 = 2 x 7 x 31 x 433

Step 4: Therefore, the least common multiple of 433 and 434 is 187922.