Least Common Multiple of 433 and 436

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 436 the smallest integer that is 188788 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 436 is 188788.

LCM(433,436) = 188788

LCM of 433 and 436

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

LCM of:
and

Least Common Multiple of 433 and 436

LCM of 433 and 436 is 188788

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 436. First we will calculate the prime factors of 433 and 436.

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 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 436.

LCM(433,436) = 22×1091×4331
LCM(433,436) = 188788

Factors of 433

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

1, 433

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Least Common Multiple of 433 and 436 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 436, than apply into the LCM equation.

GCF(433,436) = 1
LCM(433,436) = ( 433 × 436) / 1
LCM(433,436) = 188788 / 1
LCM(433,436) = 188788

Properties of LCM 433 and 436

(i) The LCM of 436 and 433 is associative

LCM of 433 and 436 = LCM of 436 and 433

Related Least Common Multiples of 433

Related Least Common Multiples of 436

Frequently Asked Questions on LCM of 433 and 436

1. What is the LCM of 433 and 436?

Answer: LCM of 433 and 436 is 188788.

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 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. How to Find the LCM of 433 and 436?

Answer:

Least Common Multiple of 433 and 436 = 188788

Step 1: Find the prime factorization of 433

433 = 433

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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

LCM = 188788 = 2 x 2 x 109 x 433

Step 4: Therefore, the least common multiple of 433 and 436 is 188788.