Least Common Multiple of 426 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 426 and 431 the smallest integer that is 183606 that is divisible by both numbers.

Least Common Multiple (LCM) of 426 and 431 is 183606.

LCM(426,431) = 183606

LCM of 426 and 431

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

LCM of:
and

Least Common Multiple of 426 and 431

LCM of 426 and 431 is 183606

Least common multiple can be found by multiplying the highest exponent prime factors of 426 and 431. First we will calculate the prime factors of 426 and 431.

Prime Factorization of 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

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 426 and 431.

LCM(426,431) = 21×31×711×4311
LCM(426,431) = 183606

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Factors of 431

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

1, 431

Least Common Multiple of 426 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 426 and 431, than apply into the LCM equation.

GCF(426,431) = 1
LCM(426,431) = ( 426 × 431) / 1
LCM(426,431) = 183606 / 1
LCM(426,431) = 183606

Properties of LCM 426 and 431

(i) The LCM of 431 and 426 is associative

LCM of 426 and 431 = LCM of 431 and 426

Related Least Common Multiples of 426

Related Least Common Multiples of 431

Frequently Asked Questions on LCM of 426 and 431

1. What is the LCM of 426 and 431?

Answer: LCM of 426 and 431 is 183606.

2. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

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 426 and 431?

Answer:

Least Common Multiple of 426 and 431 = 183606

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

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 = 183606 = 2 x 3 x 71 x 431

Step 4: Therefore, the least common multiple of 426 and 431 is 183606.