Least Common Multiple of 438 and 443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 438 and 443 the smallest integer that is 194034 that is divisible by both numbers.

Least Common Multiple (LCM) of 438 and 443 is 194034.

LCM(438,443) = 194034

LCM of 438 and 443

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

LCM of:
and

Least Common Multiple of 438 and 443

LCM of 438 and 443 is 194034

Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 443. First we will calculate the prime factors of 438 and 443.

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

Prime Factorization of 443


443 443
1

Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:

443 = 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 443.

LCM(438,443) = 21×31×731×4431
LCM(438,443) = 194034

Factors of 438

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

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

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1, 443

Least Common Multiple of 438 and 443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 438 and 443, than apply into the LCM equation.

GCF(438,443) = 1
LCM(438,443) = ( 438 × 443) / 1
LCM(438,443) = 194034 / 1
LCM(438,443) = 194034

Properties of LCM 438 and 443

(i) The LCM of 443 and 438 is associative

LCM of 438 and 443 = LCM of 443 and 438

Related Least Common Multiples of 438

Related Least Common Multiples of 443

Frequently Asked Questions on LCM of 438 and 443

1. What is the LCM of 438 and 443?

Answer: LCM of 438 and 443 is 194034.

2. 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.

3. What are the Factors of 443?

Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.

4. How to Find the LCM of 438 and 443?

Answer:

Least Common Multiple of 438 and 443 = 194034

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 443

443 = 443

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

LCM = 194034 = 2 x 3 x 73 x 443

Step 4: Therefore, the least common multiple of 438 and 443 is 194034.