Least Common Multiple of 427 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 427 and 431 the smallest integer that is 184037 that is divisible by both numbers.

Least Common Multiple (LCM) of 427 and 431 is 184037.

LCM(427,431) = 184037

LCM of 427 and 431

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

LCM of:
and

Least Common Multiple of 427 and 431

LCM of 427 and 431 is 184037

Least common multiple can be found by multiplying the highest exponent prime factors of 427 and 431. First we will calculate the prime factors of 427 and 431.

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

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 427 and 431.

LCM(427,431) = 71×611×4311
LCM(427,431) = 184037

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Factors of 431

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

1, 431

Least Common Multiple of 427 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 427 and 431, than apply into the LCM equation.

GCF(427,431) = 1
LCM(427,431) = ( 427 × 431) / 1
LCM(427,431) = 184037 / 1
LCM(427,431) = 184037

Properties of LCM 427 and 431

(i) The LCM of 431 and 427 is associative

LCM of 427 and 431 = LCM of 431 and 427

Related Least Common Multiples of 427

Related Least Common Multiples of 431

Frequently Asked Questions on LCM of 427 and 431

1. What is the LCM of 427 and 431?

Answer: LCM of 427 and 431 is 184037.

2. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

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 427 and 431?

Answer:

Least Common Multiple of 427 and 431 = 184037

Step 1: Find the prime factorization of 427

427 = 7 x 61

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 = 184037 = 7 x 61 x 431

Step 4: Therefore, the least common multiple of 427 and 431 is 184037.