Least Common Multiple of 438 and 444

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 444 the smallest integer that is 32412 that is divisible by both numbers.

Least Common Multiple (LCM) of 438 and 444 is 32412.

LCM(438,444) = 32412

LCM of 438 and 444

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

LCM of:
and

Least Common Multiple of 438 and 444

LCM of 438 and 444 is 32412

Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 444. First we will calculate the prime factors of 438 and 444.

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 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 444.

LCM(438,444) = 22×31×371×731
LCM(438,444) = 32412

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 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Least Common Multiple of 438 and 444 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 444, than apply into the LCM equation.

GCF(438,444) = 6
LCM(438,444) = ( 438 × 444) / 6
LCM(438,444) = 194472 / 6
LCM(438,444) = 32412

Properties of LCM 438 and 444

(i) The LCM of 444 and 438 is associative

LCM of 438 and 444 = LCM of 444 and 438

Related Least Common Multiples of 438

Related Least Common Multiples of 444

Frequently Asked Questions on LCM of 438 and 444

1. What is the LCM of 438 and 444?

Answer: LCM of 438 and 444 is 32412.

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 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

4. How to Find the LCM of 438 and 444?

Answer:

Least Common Multiple of 438 and 444 = 32412

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

LCM = 32412 = 2 x 2 x 3 x 37 x 73

Step 4: Therefore, the least common multiple of 438 and 444 is 32412.