Least Common Multiple of 444 and 445

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 445 the smallest integer that is 197580 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 445 is 197580.

LCM(444,445) = 197580

LCM of 444 and 445

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

LCM of:
and

Least Common Multiple of 444 and 445

LCM of 444 and 445 is 197580

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 445. First we will calculate the prime factors of 444 and 445.

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 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 444 and 445.

LCM(444,445) = 22×31×51×371×891
LCM(444,445) = 197580

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 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Least Common Multiple of 444 and 445 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 445, than apply into the LCM equation.

GCF(444,445) = 1
LCM(444,445) = ( 444 × 445) / 1
LCM(444,445) = 197580 / 1
LCM(444,445) = 197580

Properties of LCM 444 and 445

(i) The LCM of 445 and 444 is associative

LCM of 444 and 445 = LCM of 445 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 445

Frequently Asked Questions on LCM of 444 and 445

1. What is the LCM of 444 and 445?

Answer: LCM of 444 and 445 is 197580.

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 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

4. How to Find the LCM of 444 and 445?

Answer:

Least Common Multiple of 444 and 445 = 197580

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 445

445 = 5 x 89

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

LCM = 197580 = 2 x 2 x 3 x 5 x 37 x 89

Step 4: Therefore, the least common multiple of 444 and 445 is 197580.