Least Common Multiple of 433 and 440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 433 and 440 the smallest integer that is 190520 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 440 is 190520.

LCM(433,440) = 190520

LCM of 433 and 440

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

LCM of:
and

Least Common Multiple of 433 and 440

LCM of 433 and 440 is 190520

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 440. First we will calculate the prime factors of 433 and 440.

Prime Factorization of 433


433 433
1

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 440.

LCM(433,440) = 23×51×111×4331
LCM(433,440) = 190520

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1, 433

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

Least Common Multiple of 433 and 440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 433 and 440, than apply into the LCM equation.

GCF(433,440) = 1
LCM(433,440) = ( 433 × 440) / 1
LCM(433,440) = 190520 / 1
LCM(433,440) = 190520

Properties of LCM 433 and 440

(i) The LCM of 440 and 433 is associative

LCM of 433 and 440 = LCM of 440 and 433

Related Least Common Multiples of 433

Related Least Common Multiples of 440

Frequently Asked Questions on LCM of 433 and 440

1. What is the LCM of 433 and 440?

Answer: LCM of 433 and 440 is 190520.

2. What are the Factors of 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

3. 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.

4. How to Find the LCM of 433 and 440?

Answer:

Least Common Multiple of 433 and 440 = 190520

Step 1: Find the prime factorization of 433

433 = 433

Step 2: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

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

LCM = 190520 = 2 x 2 x 2 x 5 x 11 x 433

Step 4: Therefore, the least common multiple of 433 and 440 is 190520.