Least Common Multiple of 422 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 422 and 430 the smallest integer that is 90730 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 430 is 90730.

LCM(422,430) = 90730

LCM of 422 and 430

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

LCM of:
and

Least Common Multiple of 422 and 430

LCM of 422 and 430 is 90730

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 430. First we will calculate the prime factors of 422 and 430.

Prime Factorization of 422


2 422
211 211
1

Prime factors of 422 are 2,211. Prime factorization of 422 in exponential form is:

422 = 21×2111

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 422 and 430.

LCM(422,430) = 21×51×431×2111
LCM(422,430) = 90730

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 422 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 422 and 430, than apply into the LCM equation.

GCF(422,430) = 2
LCM(422,430) = ( 422 × 430) / 2
LCM(422,430) = 181460 / 2
LCM(422,430) = 90730

Properties of LCM 422 and 430

(i) The LCM of 430 and 422 is associative

LCM of 422 and 430 = LCM of 430 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 422 and 430

1. What is the LCM of 422 and 430?

Answer: LCM of 422 and 430 is 90730.

2. What are the Factors of 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

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 422 and 430?

Answer:

Least Common Multiple of 422 and 430 = 90730

Step 1: Find the prime factorization of 422

422 = 2 x 211

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 = 90730 = 2 x 5 x 43 x 211

Step 4: Therefore, the least common multiple of 422 and 430 is 90730.