Least Common Multiple of 424 and 430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 424 and 430 the smallest integer that is 91160 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 430 is 91160.

LCM(424,430) = 91160

LCM of 424 and 430

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

LCM of:
and

Least Common Multiple of 424 and 430

LCM of 424 and 430 is 91160

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 430. First we will calculate the prime factors of 424 and 430.

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 424 and 430.

LCM(424,430) = 23×51×431×531
LCM(424,430) = 91160

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Factors of 430

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

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

Least Common Multiple of 424 and 430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 430, than apply into the LCM equation.

GCF(424,430) = 2
LCM(424,430) = ( 424 × 430) / 2
LCM(424,430) = 182320 / 2
LCM(424,430) = 91160

Properties of LCM 424 and 430

(i) The LCM of 430 and 424 is associative

LCM of 424 and 430 = LCM of 430 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 424 and 430

1. What is the LCM of 424 and 430?

Answer: LCM of 424 and 430 is 91160.

2. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

3. 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.

4. How to Find the LCM of 424 and 430?

Answer:

Least Common Multiple of 424 and 430 = 91160

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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

LCM = 91160 = 2 x 2 x 2 x 5 x 43 x 53

Step 4: Therefore, the least common multiple of 424 and 430 is 91160.