Least Common Multiple of 443 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 443 and 445 the smallest integer that is 197135 that is divisible by both numbers.

Least Common Multiple (LCM) of 443 and 445 is 197135.

LCM(443,445) = 197135

LCM of 443 and 445

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

LCM of:
and

Least Common Multiple of 443 and 445

LCM of 443 and 445 is 197135

Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 445. First we will calculate the prime factors of 443 and 445.

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 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 443 and 445.

LCM(443,445) = 51×891×4431
LCM(443,445) = 197135

Factors of 443

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

1, 443

Factors of 445

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

1, 5, 89, 445

Least Common Multiple of 443 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 443 and 445, than apply into the LCM equation.

GCF(443,445) = 1
LCM(443,445) = ( 443 × 445) / 1
LCM(443,445) = 197135 / 1
LCM(443,445) = 197135

Properties of LCM 443 and 445

(i) The LCM of 445 and 443 is associative

LCM of 443 and 445 = LCM of 445 and 443

Frequently Asked Questions on LCM of 443 and 445

1. What is the LCM of 443 and 445?

Answer: LCM of 443 and 445 is 197135.

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 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 443 and 445?

Answer:

Least Common Multiple of 443 and 445 = 197135

Step 1: Find the prime factorization of 443

443 = 443

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 = 197135 = 5 x 89 x 443

Step 4: Therefore, the least common multiple of 443 and 445 is 197135.