Least Common Multiple of 444 and 447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 444 and 447 the smallest integer that is 66156 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 447 is 66156.

LCM(444,447) = 66156

LCM of 444 and 447

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

LCM of:
and

Least Common Multiple of 444 and 447

LCM of 444 and 447 is 66156

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 447. First we will calculate the prime factors of 444 and 447.

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

Prime Factorization of 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 444 and 447.

LCM(444,447) = 22×31×371×1491
LCM(444,447) = 66156

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

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Least Common Multiple of 444 and 447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 444 and 447, than apply into the LCM equation.

GCF(444,447) = 3
LCM(444,447) = ( 444 × 447) / 3
LCM(444,447) = 198468 / 3
LCM(444,447) = 66156

Properties of LCM 444 and 447

(i) The LCM of 447 and 444 is associative

LCM of 444 and 447 = LCM of 447 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 447

Frequently Asked Questions on LCM of 444 and 447

1. What is the LCM of 444 and 447?

Answer: LCM of 444 and 447 is 66156.

2. 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.

3. What are the Factors of 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

4. How to Find the LCM of 444 and 447?

Answer:

Least Common Multiple of 444 and 447 = 66156

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 447

447 = 3 x 149

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

LCM = 66156 = 2 x 2 x 3 x 37 x 149

Step 4: Therefore, the least common multiple of 444 and 447 is 66156.