Least Common Multiple of 444 and 446

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 446 the smallest integer that is 99012 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 446 is 99012.

LCM(444,446) = 99012

LCM of 444 and 446

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

LCM of:
and

Least Common Multiple of 444 and 446

LCM of 444 and 446 is 99012

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 446. First we will calculate the prime factors of 444 and 446.

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 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 444 and 446.

LCM(444,446) = 22×31×371×2231
LCM(444,446) = 99012

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 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Least Common Multiple of 444 and 446 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 446, than apply into the LCM equation.

GCF(444,446) = 2
LCM(444,446) = ( 444 × 446) / 2
LCM(444,446) = 198024 / 2
LCM(444,446) = 99012

Properties of LCM 444 and 446

(i) The LCM of 446 and 444 is associative

LCM of 444 and 446 = LCM of 446 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 446

Frequently Asked Questions on LCM of 444 and 446

1. What is the LCM of 444 and 446?

Answer: LCM of 444 and 446 is 99012.

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 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

4. How to Find the LCM of 444 and 446?

Answer:

Least Common Multiple of 444 and 446 = 99012

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 446

446 = 2 x 223

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

LCM = 99012 = 2 x 2 x 3 x 37 x 223

Step 4: Therefore, the least common multiple of 444 and 446 is 99012.