Least Common Multiple of 440 and 443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 440 and 443 the smallest integer that is 194920 that is divisible by both numbers.

Least Common Multiple (LCM) of 440 and 443 is 194920.

LCM(440,443) = 194920

LCM of 440 and 443

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

LCM of:
and

Least Common Multiple of 440 and 443

LCM of 440 and 443 is 194920

Least common multiple can be found by multiplying the highest exponent prime factors of 440 and 443. First we will calculate the prime factors of 440 and 443.

Prime Factorization of 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

Prime Factorization of 443


443 443
1

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

443 = 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 440 and 443.

LCM(440,443) = 23×51×111×4431
LCM(440,443) = 194920

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Factors of 443

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

1, 443

Least Common Multiple of 440 and 443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 440 and 443, than apply into the LCM equation.

GCF(440,443) = 1
LCM(440,443) = ( 440 × 443) / 1
LCM(440,443) = 194920 / 1
LCM(440,443) = 194920

Properties of LCM 440 and 443

(i) The LCM of 443 and 440 is associative

LCM of 440 and 443 = LCM of 443 and 440

Related Least Common Multiples of 440

Related Least Common Multiples of 443

Frequently Asked Questions on LCM of 440 and 443

1. What is the LCM of 440 and 443?

Answer: LCM of 440 and 443 is 194920.

2. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

3. 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.

4. How to Find the LCM of 440 and 443?

Answer:

Least Common Multiple of 440 and 443 = 194920

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 443

443 = 443

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

LCM = 194920 = 2 x 2 x 2 x 5 x 11 x 443

Step 4: Therefore, the least common multiple of 440 and 443 is 194920.