Least Common Multiple of 9400 and 9408

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 9408 the smallest integer that is 11054400 that is divisible by both numbers.

Least Common Multiple (LCM) of 9400 and 9408 is 11054400.

LCM(9400,9408) = 11054400

LCM of 9400 and 9408

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

LCM of:
and

Least Common Multiple of 9400 and 9408

LCM of 9400 and 9408 is 11054400

Least common multiple can be found by multiplying the highest exponent prime factors of 9400 and 9408. First we will calculate the prime factors of 9400 and 9408.

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 9408


2 9408
2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 9408 are 2, 3,7. Prime factorization of 9408 in exponential form is:

9408 = 26×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 9400 and 9408.

LCM(9400,9408) = 26×31×52×72×471
LCM(9400,9408) = 11054400

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 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408

Least Common Multiple of 9400 and 9408 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 9408, than apply into the LCM equation.

GCF(9400,9408) = 8
LCM(9400,9408) = ( 9400 × 9408) / 8
LCM(9400,9408) = 88435200 / 8
LCM(9400,9408) = 11054400

Properties of LCM 9400 and 9408

(i) The LCM of 9408 and 9400 is associative

LCM of 9400 and 9408 = LCM of 9408 and 9400

Related Least Common Multiples of 9400

Related Least Common Multiples of 9408

Frequently Asked Questions on LCM of 9400 and 9408

1. What is the LCM of 9400 and 9408?

Answer: LCM of 9400 and 9408 is 11054400.

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 9408?

Answer: Factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408. There are 42 integers that are factors of 9408. The greatest factor of 9408 is 9408.

4. How to Find the LCM of 9400 and 9408?

Answer:

Least Common Multiple of 9400 and 9408 = 11054400

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 9408

9408 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

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

LCM = 11054400 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 x 47

Step 4: Therefore, the least common multiple of 9400 and 9408 is 11054400.