Least Common Multiple of 423 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 423 and 430 the smallest integer that is 181890 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 430 is 181890.

LCM(423,430) = 181890

LCM of 423 and 430

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

LCM of:
and

Least Common Multiple of 423 and 430

LCM of 423 and 430 is 181890

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 430. First we will calculate the prime factors of 423 and 430.

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

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 423 and 430.

LCM(423,430) = 21×32×51×431×471
LCM(423,430) = 181890

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 423 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 423 and 430, than apply into the LCM equation.

GCF(423,430) = 1
LCM(423,430) = ( 423 × 430) / 1
LCM(423,430) = 181890 / 1
LCM(423,430) = 181890

Properties of LCM 423 and 430

(i) The LCM of 430 and 423 is associative

LCM of 423 and 430 = LCM of 430 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 423 and 430

1. What is the LCM of 423 and 430?

Answer: LCM of 423 and 430 is 181890.

2. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

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 423 and 430?

Answer:

Least Common Multiple of 423 and 430 = 181890

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 181890 = 2 x 3 x 3 x 5 x 43 x 47

Step 4: Therefore, the least common multiple of 423 and 430 is 181890.