Least Common Multiple of 428 and 431

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 431 the smallest integer that is 184468 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 431 is 184468.

LCM(428,431) = 184468

LCM of 428 and 431

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

LCM of:
and

Least Common Multiple of 428 and 431

LCM of 428 and 431 is 184468

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 431. First we will calculate the prime factors of 428 and 431.

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 431


431 431
1

Prime factors of 431 are 431. Prime factorization of 431 in exponential form is:

431 = 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 428 and 431.

LCM(428,431) = 22×1071×4311
LCM(428,431) = 184468

Factors of 428

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

1, 2, 4, 107, 214, 428

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1, 431

Least Common Multiple of 428 and 431 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 431, than apply into the LCM equation.

GCF(428,431) = 1
LCM(428,431) = ( 428 × 431) / 1
LCM(428,431) = 184468 / 1
LCM(428,431) = 184468

Properties of LCM 428 and 431

(i) The LCM of 431 and 428 is associative

LCM of 428 and 431 = LCM of 431 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 431

Frequently Asked Questions on LCM of 428 and 431

1. What is the LCM of 428 and 431?

Answer: LCM of 428 and 431 is 184468.

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 431?

Answer: Factors of 431 are 1, 431. There are 2 integers that are factors of 431. The greatest factor of 431 is 431.

4. How to Find the LCM of 428 and 431?

Answer:

Least Common Multiple of 428 and 431 = 184468

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 431

431 = 431

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

LCM = 184468 = 2 x 2 x 107 x 431

Step 4: Therefore, the least common multiple of 428 and 431 is 184468.