Least Common Multiple of 428 and 433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 428 and 433 the smallest integer that is 185324 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 433 is 185324.

LCM(428,433) = 185324

LCM of 428 and 433

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

LCM of:
and

Least Common Multiple of 428 and 433

LCM of 428 and 433 is 185324

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 433. First we will calculate the prime factors of 428 and 433.

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

Prime Factorization of 433


433 433
1

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

433 = 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 428 and 433.

LCM(428,433) = 22×1071×4331
LCM(428,433) = 185324

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Factors of 433

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

1, 433

Least Common Multiple of 428 and 433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 428 and 433, than apply into the LCM equation.

GCF(428,433) = 1
LCM(428,433) = ( 428 × 433) / 1
LCM(428,433) = 185324 / 1
LCM(428,433) = 185324

Properties of LCM 428 and 433

(i) The LCM of 433 and 428 is associative

LCM of 428 and 433 = LCM of 433 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 433

Frequently Asked Questions on LCM of 428 and 433

1. What is the LCM of 428 and 433?

Answer: LCM of 428 and 433 is 185324.

2. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

3. 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.

4. How to Find the LCM of 428 and 433?

Answer:

Least Common Multiple of 428 and 433 = 185324

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 433

433 = 433

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

LCM = 185324 = 2 x 2 x 107 x 433

Step 4: Therefore, the least common multiple of 428 and 433 is 185324.