Least Common Multiple of 430 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 430 and 434 the smallest integer that is 93310 that is divisible by both numbers.

Least Common Multiple (LCM) of 430 and 434 is 93310.

LCM(430,434) = 93310

LCM of 430 and 434

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

LCM of:
and

Least Common Multiple of 430 and 434

LCM of 430 and 434 is 93310

Least common multiple can be found by multiplying the highest exponent prime factors of 430 and 434. First we will calculate the prime factors of 430 and 434.

Prime Factorization of 430


2 430
5 215
43 43
1

Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

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 430 and 434.

LCM(430,434) = 21×51×71×311×431
LCM(430,434) = 93310

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

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 430 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 430 and 434, than apply into the LCM equation.

GCF(430,434) = 2
LCM(430,434) = ( 430 × 434) / 2
LCM(430,434) = 186620 / 2
LCM(430,434) = 93310

Properties of LCM 430 and 434

(i) The LCM of 434 and 430 is associative

LCM of 430 and 434 = LCM of 434 and 430

Related Least Common Multiples of 430

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 430 and 434

1. What is the LCM of 430 and 434?

Answer: LCM of 430 and 434 is 93310.

2. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

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 430 and 434?

Answer:

Least Common Multiple of 430 and 434 = 93310

Step 1: Find the prime factorization of 430

430 = 2 x 5 x 43

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 = 93310 = 2 x 5 x 7 x 31 x 43

Step 4: Therefore, the least common multiple of 430 and 434 is 93310.