Least Common Multiple of 9426 and 9430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9426 and 9430 the smallest integer that is 44443590 that is divisible by both numbers.

Least Common Multiple (LCM) of 9426 and 9430 is 44443590.

LCM(9426,9430) = 44443590

LCM of 9426 and 9430

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

LCM of:
and

Least Common Multiple of 9426 and 9430

LCM of 9426 and 9430 is 44443590

Least common multiple can be found by multiplying the highest exponent prime factors of 9426 and 9430. First we will calculate the prime factors of 9426 and 9430.

Prime Factorization of 9426


2 9426
3 4713
1571 1571
1

Prime factors of 9426 are 2, 3,1571. Prime factorization of 9426 in exponential form is:

9426 = 21×31×15711

Prime Factorization of 9430


2 9430
5 4715
23 943
41 41
1

Prime factors of 9430 are 2, 5, 23,41. Prime factorization of 9430 in exponential form is:

9430 = 21×51×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9426 and 9430.

LCM(9426,9430) = 21×31×51×231×411×15711
LCM(9426,9430) = 44443590

Factors of 9426

List of positive integer factors of 9426 that divides 9426 without a remainder.

1, 2, 3, 6, 1571, 3142, 4713, 9426

Factors of 9430

List of positive integer factors of 9430 that divides 9430 without a remainder.

1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430

Least Common Multiple of 9426 and 9430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9426 and 9430, than apply into the LCM equation.

GCF(9426,9430) = 2
LCM(9426,9430) = ( 9426 × 9430) / 2
LCM(9426,9430) = 88887180 / 2
LCM(9426,9430) = 44443590

Properties of LCM 9426 and 9430

(i) The LCM of 9430 and 9426 is associative

LCM of 9426 and 9430 = LCM of 9430 and 9426

Related Least Common Multiples of 9426

Related Least Common Multiples of 9430

Frequently Asked Questions on LCM of 9426 and 9430

1. What is the LCM of 9426 and 9430?

Answer: LCM of 9426 and 9430 is 44443590.

2. What are the Factors of 9426?

Answer: Factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426. There are 8 integers that are factors of 9426. The greatest factor of 9426 is 9426.

3. What are the Factors of 9430?

Answer: Factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430. There are 16 integers that are factors of 9430. The greatest factor of 9430 is 9430.

4. How to Find the LCM of 9426 and 9430?

Answer:

Least Common Multiple of 9426 and 9430 = 44443590

Step 1: Find the prime factorization of 9426

9426 = 2 x 3 x 1571

Step 2: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

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

LCM = 44443590 = 2 x 3 x 5 x 23 x 41 x 1571

Step 4: Therefore, the least common multiple of 9426 and 9430 is 44443590.