Least Common Multiple of 9430 and 9437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9430 and 9437 the smallest integer that is 88990910 that is divisible by both numbers.

Least Common Multiple (LCM) of 9430 and 9437 is 88990910.

LCM(9430,9437) = 88990910

LCM of 9430 and 9437

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

LCM of:
and

Least Common Multiple of 9430 and 9437

LCM of 9430 and 9437 is 88990910

Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9437. First we will calculate the prime factors of 9430 and 9437.

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

Prime Factorization of 9437


9437 9437
1

Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:

9437 = 94371

Now multiplying the highest exponent prime factors to calculate the LCM of 9430 and 9437.

LCM(9430,9437) = 21×51×231×411×94371
LCM(9430,9437) = 88990910

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

Factors of 9437

List of positive integer factors of 9437 that divides 9437 without a remainder.

1, 9437

Least Common Multiple of 9430 and 9437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9430 and 9437, than apply into the LCM equation.

GCF(9430,9437) = 1
LCM(9430,9437) = ( 9430 × 9437) / 1
LCM(9430,9437) = 88990910 / 1
LCM(9430,9437) = 88990910

Properties of LCM 9430 and 9437

(i) The LCM of 9437 and 9430 is associative

LCM of 9430 and 9437 = LCM of 9437 and 9430

Related Least Common Multiples of 9430

Related Least Common Multiples of 9437

Frequently Asked Questions on LCM of 9430 and 9437

1. What is the LCM of 9430 and 9437?

Answer: LCM of 9430 and 9437 is 88990910.

2. 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.

3. What are the Factors of 9437?

Answer: Factors of 9437 are 1, 9437. There are 2 integers that are factors of 9437. The greatest factor of 9437 is 9437.

4. How to Find the LCM of 9430 and 9437?

Answer:

Least Common Multiple of 9430 and 9437 = 88990910

Step 1: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

Step 2: Find the prime factorization of 9437

9437 = 9437

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

LCM = 88990910 = 2 x 5 x 23 x 41 x 9437

Step 4: Therefore, the least common multiple of 9430 and 9437 is 88990910.