Least Common Multiple of 443 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 443 and 444 the smallest integer that is 196692 that is divisible by both numbers.

Least Common Multiple (LCM) of 443 and 444 is 196692.

LCM(443,444) = 196692

LCM of 443 and 444

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

LCM of:
and

Least Common Multiple of 443 and 444

LCM of 443 and 444 is 196692

Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 444. First we will calculate the prime factors of 443 and 444.

Prime Factorization of 443


443 443
1

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

443 = 4431

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 443 and 444.

LCM(443,444) = 22×31×371×4431
LCM(443,444) = 196692

Factors of 443

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

1, 443

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 443 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 443 and 444, than apply into the LCM equation.

GCF(443,444) = 1
LCM(443,444) = ( 443 × 444) / 1
LCM(443,444) = 196692 / 1
LCM(443,444) = 196692

Properties of LCM 443 and 444

(i) The LCM of 444 and 443 is associative

LCM of 443 and 444 = LCM of 444 and 443

Related Least Common Multiples of 443

Related Least Common Multiples of 444

Frequently Asked Questions on LCM of 443 and 444

1. What is the LCM of 443 and 444?

Answer: LCM of 443 and 444 is 196692.

2. 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.

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 443 and 444?

Answer:

Least Common Multiple of 443 and 444 = 196692

Step 1: Find the prime factorization of 443

443 = 443

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 = 196692 = 2 x 2 x 3 x 37 x 443

Step 4: Therefore, the least common multiple of 443 and 444 is 196692.