Least Common Multiple of 9400 and 9406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9400 and 9406 the smallest integer that is 44208200 that is divisible by both numbers.

Least Common Multiple (LCM) of 9400 and 9406 is 44208200.

LCM(9400,9406) = 44208200

LCM of 9400 and 9406

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

LCM of:
and

Least Common Multiple of 9400 and 9406

LCM of 9400 and 9406 is 44208200

Least common multiple can be found by multiplying the highest exponent prime factors of 9400 and 9406. First we will calculate the prime factors of 9400 and 9406.

Prime Factorization of 9400


2 9400
2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 9400 are 2, 5,47. Prime factorization of 9400 in exponential form is:

9400 = 23×52×471

Prime Factorization of 9406


2 9406
4703 4703
1

Prime factors of 9406 are 2,4703. Prime factorization of 9406 in exponential form is:

9406 = 21×47031

Now multiplying the highest exponent prime factors to calculate the LCM of 9400 and 9406.

LCM(9400,9406) = 23×52×471×47031
LCM(9400,9406) = 44208200

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400

Factors of 9406

List of positive integer factors of 9406 that divides 9406 without a remainder.

1, 2, 4703, 9406

Least Common Multiple of 9400 and 9406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9400 and 9406, than apply into the LCM equation.

GCF(9400,9406) = 2
LCM(9400,9406) = ( 9400 × 9406) / 2
LCM(9400,9406) = 88416400 / 2
LCM(9400,9406) = 44208200

Properties of LCM 9400 and 9406

(i) The LCM of 9406 and 9400 is associative

LCM of 9400 and 9406 = LCM of 9406 and 9400

Related Least Common Multiples of 9400

Related Least Common Multiples of 9406

Frequently Asked Questions on LCM of 9400 and 9406

1. What is the LCM of 9400 and 9406?

Answer: LCM of 9400 and 9406 is 44208200.

2. What are the Factors of 9400?

Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.

3. What are the Factors of 9406?

Answer: Factors of 9406 are 1, 2, 4703, 9406. There are 4 integers that are factors of 9406. The greatest factor of 9406 is 9406.

4. How to Find the LCM of 9400 and 9406?

Answer:

Least Common Multiple of 9400 and 9406 = 44208200

Step 1: Find the prime factorization of 9400

9400 = 2 x 2 x 2 x 5 x 5 x 47

Step 2: Find the prime factorization of 9406

9406 = 2 x 4703

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

LCM = 44208200 = 2 x 2 x 2 x 5 x 5 x 47 x 4703

Step 4: Therefore, the least common multiple of 9400 and 9406 is 44208200.