Least Common Multiple of 431 and 438

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 438 the smallest integer that is 188778 that is divisible by both numbers.

Least Common Multiple (LCM) of 431 and 438 is 188778.

LCM(431,438) = 188778

LCM of 431 and 438

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

LCM of:
and

Least Common Multiple of 431 and 438

LCM of 431 and 438 is 188778

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 438. First we will calculate the prime factors of 431 and 438.

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 438


2 438
3 219
73 73
1

Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 431 and 438.

LCM(431,438) = 21×31×731×4311
LCM(431,438) = 188778

Factors of 431

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

1, 431

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Least Common Multiple of 431 and 438 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 438, than apply into the LCM equation.

GCF(431,438) = 1
LCM(431,438) = ( 431 × 438) / 1
LCM(431,438) = 188778 / 1
LCM(431,438) = 188778

Properties of LCM 431 and 438

(i) The LCM of 438 and 431 is associative

LCM of 431 and 438 = LCM of 438 and 431

Related Least Common Multiples of 431

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 431 and 438

1. What is the LCM of 431 and 438?

Answer: LCM of 431 and 438 is 188778.

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 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

4. How to Find the LCM of 431 and 438?

Answer:

Least Common Multiple of 431 and 438 = 188778

Step 1: Find the prime factorization of 431

431 = 431

Step 2: Find the prime factorization of 438

438 = 2 x 3 x 73

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

LCM = 188778 = 2 x 3 x 73 x 431

Step 4: Therefore, the least common multiple of 431 and 438 is 188778.