Least Common Multiple of 434 and 442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 434 and 442 the smallest integer that is 95914 that is divisible by both numbers.

Least Common Multiple (LCM) of 434 and 442 is 95914.

LCM(434,442) = 95914

LCM of 434 and 442

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

LCM of:
and

Least Common Multiple of 434 and 442

LCM of 434 and 442 is 95914

Least common multiple can be found by multiplying the highest exponent prime factors of 434 and 442. First we will calculate the prime factors of 434 and 442.

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

Prime Factorization of 442


2 442
13 221
17 17
1

Prime factors of 442 are 2, 13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 434 and 442.

LCM(434,442) = 21×71×131×171×311
LCM(434,442) = 95914

Factors of 434

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

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

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Least Common Multiple of 434 and 442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 434 and 442, than apply into the LCM equation.

GCF(434,442) = 2
LCM(434,442) = ( 434 × 442) / 2
LCM(434,442) = 191828 / 2
LCM(434,442) = 95914

Properties of LCM 434 and 442

(i) The LCM of 442 and 434 is associative

LCM of 434 and 442 = LCM of 442 and 434

Related Least Common Multiples of 434

Related Least Common Multiples of 442

Frequently Asked Questions on LCM of 434 and 442

1. What is the LCM of 434 and 442?

Answer: LCM of 434 and 442 is 95914.

2. 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.

3. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

4. How to Find the LCM of 434 and 442?

Answer:

Least Common Multiple of 434 and 442 = 95914

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 442

442 = 2 x 13 x 17

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

LCM = 95914 = 2 x 7 x 13 x 17 x 31

Step 4: Therefore, the least common multiple of 434 and 442 is 95914.