Least Common Multiple of 426 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 426 and 434 the smallest integer that is 92442 that is divisible by both numbers.

Least Common Multiple (LCM) of 426 and 434 is 92442.

LCM(426,434) = 92442

LCM of 426 and 434

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

LCM of:
and

Least Common Multiple of 426 and 434

LCM of 426 and 434 is 92442

Least common multiple can be found by multiplying the highest exponent prime factors of 426 and 434. First we will calculate the prime factors of 426 and 434.

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 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 426 and 434.

LCM(426,434) = 21×31×71×311×711
LCM(426,434) = 92442

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 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 426 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 426 and 434, than apply into the LCM equation.

GCF(426,434) = 2
LCM(426,434) = ( 426 × 434) / 2
LCM(426,434) = 184884 / 2
LCM(426,434) = 92442

Properties of LCM 426 and 434

(i) The LCM of 434 and 426 is associative

LCM of 426 and 434 = LCM of 434 and 426

Related Least Common Multiples of 426

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 426 and 434

1. What is the LCM of 426 and 434?

Answer: LCM of 426 and 434 is 92442.

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 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 426 and 434?

Answer:

Least Common Multiple of 426 and 434 = 92442

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

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 = 92442 = 2 x 3 x 7 x 31 x 71

Step 4: Therefore, the least common multiple of 426 and 434 is 92442.