Least Common Multiple of 433 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 433 and 438 the smallest integer that is 189654 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 438 is 189654.

LCM(433,438) = 189654

LCM of 433 and 438

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

LCM of:
and

Least Common Multiple of 433 and 438

LCM of 433 and 438 is 189654

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 438. First we will calculate the prime factors of 433 and 438.

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 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 433 and 438.

LCM(433,438) = 21×31×731×4331
LCM(433,438) = 189654

Factors of 433

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

1, 433

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 433 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 433 and 438, than apply into the LCM equation.

GCF(433,438) = 1
LCM(433,438) = ( 433 × 438) / 1
LCM(433,438) = 189654 / 1
LCM(433,438) = 189654

Properties of LCM 433 and 438

(i) The LCM of 438 and 433 is associative

LCM of 433 and 438 = LCM of 438 and 433

Related Least Common Multiples of 433

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 433 and 438

1. What is the LCM of 433 and 438?

Answer: LCM of 433 and 438 is 189654.

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 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 433 and 438?

Answer:

Least Common Multiple of 433 and 438 = 189654

Step 1: Find the prime factorization of 433

433 = 433

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 = 189654 = 2 x 3 x 73 x 433

Step 4: Therefore, the least common multiple of 433 and 438 is 189654.