Least Common Multiple of 427 and 434

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 434 the smallest integer that is 26474 that is divisible by both numbers.

Least Common Multiple (LCM) of 427 and 434 is 26474.

LCM(427,434) = 26474

LCM of 427 and 434

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

LCM of:
and

Least Common Multiple of 427 and 434

LCM of 427 and 434 is 26474

Least common multiple can be found by multiplying the highest exponent prime factors of 427 and 434. First we will calculate the prime factors of 427 and 434.

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 434


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 427 and 434.

LCM(427,434) = 21×71×311×611
LCM(427,434) = 26474

Factors of 427

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

1, 7, 61, 427

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Least Common Multiple of 427 and 434 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 434, than apply into the LCM equation.

GCF(427,434) = 7
LCM(427,434) = ( 427 × 434) / 7
LCM(427,434) = 185318 / 7
LCM(427,434) = 26474

Properties of LCM 427 and 434

(i) The LCM of 434 and 427 is associative

LCM of 427 and 434 = LCM of 434 and 427

Related Least Common Multiples of 427

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 427 and 434

1. What is the LCM of 427 and 434?

Answer: LCM of 427 and 434 is 26474.

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 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

4. How to Find the LCM of 427 and 434?

Answer:

Least Common Multiple of 427 and 434 = 26474

Step 1: Find the prime factorization of 427

427 = 7 x 61

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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

LCM = 26474 = 2 x 7 x 31 x 61

Step 4: Therefore, the least common multiple of 427 and 434 is 26474.