Least Common Multiple of 433 and 435

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 435 the smallest integer that is 188355 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 435 is 188355.

LCM(433,435) = 188355

LCM of 433 and 435

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

LCM of:
and

Least Common Multiple of 433 and 435

LCM of 433 and 435 is 188355

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 435. First we will calculate the prime factors of 433 and 435.

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 435


3 435
5 145
29 29
1

Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:

435 = 31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 435.

LCM(433,435) = 31×51×291×4331
LCM(433,435) = 188355

Factors of 433

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

1, 433

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Least Common Multiple of 433 and 435 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 435, than apply into the LCM equation.

GCF(433,435) = 1
LCM(433,435) = ( 433 × 435) / 1
LCM(433,435) = 188355 / 1
LCM(433,435) = 188355

Properties of LCM 433 and 435

(i) The LCM of 435 and 433 is associative

LCM of 433 and 435 = LCM of 435 and 433

Related Least Common Multiples of 433

Related Least Common Multiples of 435

Frequently Asked Questions on LCM of 433 and 435

1. What is the LCM of 433 and 435?

Answer: LCM of 433 and 435 is 188355.

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 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

4. How to Find the LCM of 433 and 435?

Answer:

Least Common Multiple of 433 and 435 = 188355

Step 1: Find the prime factorization of 433

433 = 433

Step 2: Find the prime factorization of 435

435 = 3 x 5 x 29

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

LCM = 188355 = 3 x 5 x 29 x 433

Step 4: Therefore, the least common multiple of 433 and 435 is 188355.