Least Common Multiple of 440 and 441

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 441 the smallest integer that is 194040 that is divisible by both numbers.

Least Common Multiple (LCM) of 440 and 441 is 194040.

LCM(440,441) = 194040

LCM of 440 and 441

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

LCM of:
and

Least Common Multiple of 440 and 441

LCM of 440 and 441 is 194040

Least common multiple can be found by multiplying the highest exponent prime factors of 440 and 441. First we will calculate the prime factors of 440 and 441.

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 441


3 441
3 147
7 49
7 7
1

Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:

441 = 32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 440 and 441.

LCM(440,441) = 23×32×51×72×111
LCM(440,441) = 194040

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 441

List of positive integer factors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Least Common Multiple of 440 and 441 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 441, than apply into the LCM equation.

GCF(440,441) = 1
LCM(440,441) = ( 440 × 441) / 1
LCM(440,441) = 194040 / 1
LCM(440,441) = 194040

Properties of LCM 440 and 441

(i) The LCM of 441 and 440 is associative

LCM of 440 and 441 = LCM of 441 and 440

Related Least Common Multiples of 440

Related Least Common Multiples of 441

Frequently Asked Questions on LCM of 440 and 441

1. What is the LCM of 440 and 441?

Answer: LCM of 440 and 441 is 194040.

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 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

4. How to Find the LCM of 440 and 441?

Answer:

Least Common Multiple of 440 and 441 = 194040

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 441

441 = 3 x 3 x 7 x 7

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

LCM = 194040 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 440 and 441 is 194040.