Least Common Multiple of 426 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 426 and 430 the smallest integer that is 91590 that is divisible by both numbers.

Least Common Multiple (LCM) of 426 and 430 is 91590.

LCM(426,430) = 91590

LCM of 426 and 430

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

LCM of:
and

Least Common Multiple of 426 and 430

LCM of 426 and 430 is 91590

Least common multiple can be found by multiplying the highest exponent prime factors of 426 and 430. First we will calculate the prime factors of 426 and 430.

Prime Factorization of 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

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 426 and 430.

LCM(426,430) = 21×31×51×431×711
LCM(426,430) = 91590

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 426 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 426 and 430, than apply into the LCM equation.

GCF(426,430) = 2
LCM(426,430) = ( 426 × 430) / 2
LCM(426,430) = 183180 / 2
LCM(426,430) = 91590

Properties of LCM 426 and 430

(i) The LCM of 430 and 426 is associative

LCM of 426 and 430 = LCM of 430 and 426

Related Least Common Multiples of 426

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 426 and 430

1. What is the LCM of 426 and 430?

Answer: LCM of 426 and 430 is 91590.

2. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

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 426 and 430?

Answer:

Least Common Multiple of 426 and 430 = 91590

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

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 = 91590 = 2 x 3 x 5 x 43 x 71

Step 4: Therefore, the least common multiple of 426 and 430 is 91590.