Least Common Multiple of 431 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 431 and 434 the smallest integer that is 187054 that is divisible by both numbers.

Least Common Multiple (LCM) of 431 and 434 is 187054.

LCM(431,434) = 187054

LCM of 431 and 434

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

LCM of:
and

Least Common Multiple of 431 and 434

LCM of 431 and 434 is 187054

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 434. First we will calculate the prime factors of 431 and 434.

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 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 431 and 434.

LCM(431,434) = 21×71×311×4311
LCM(431,434) = 187054

Factors of 431

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

1, 431

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 431 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 431 and 434, than apply into the LCM equation.

GCF(431,434) = 1
LCM(431,434) = ( 431 × 434) / 1
LCM(431,434) = 187054 / 1
LCM(431,434) = 187054

Properties of LCM 431 and 434

(i) The LCM of 434 and 431 is associative

LCM of 431 and 434 = LCM of 434 and 431

Related Least Common Multiples of 431

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 431 and 434

1. What is the LCM of 431 and 434?

Answer: LCM of 431 and 434 is 187054.

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 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 431 and 434?

Answer:

Least Common Multiple of 431 and 434 = 187054

Step 1: Find the prime factorization of 431

431 = 431

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 = 187054 = 2 x 7 x 31 x 431

Step 4: Therefore, the least common multiple of 431 and 434 is 187054.