Least Common Multiple of 9408 and 9415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9408 and 9415 the smallest integer that is 12653760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9408 and 9415 is 12653760.

LCM(9408,9415) = 12653760

LCM of 9408 and 9415

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

LCM of:
and

Least Common Multiple of 9408 and 9415

LCM of 9408 and 9415 is 12653760

Least common multiple can be found by multiplying the highest exponent prime factors of 9408 and 9415. First we will calculate the prime factors of 9408 and 9415.

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

Prime Factorization of 9415


5 9415
7 1883
269 269
1

Prime factors of 9415 are 5, 7,269. Prime factorization of 9415 in exponential form is:

9415 = 51×71×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 9408 and 9415.

LCM(9408,9415) = 26×31×51×72×2691
LCM(9408,9415) = 12653760

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

Factors of 9415

List of positive integer factors of 9415 that divides 9415 without a remainder.

1, 5, 7, 35, 269, 1345, 1883, 9415

Least Common Multiple of 9408 and 9415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9408 and 9415, than apply into the LCM equation.

GCF(9408,9415) = 7
LCM(9408,9415) = ( 9408 × 9415) / 7
LCM(9408,9415) = 88576320 / 7
LCM(9408,9415) = 12653760

Properties of LCM 9408 and 9415

(i) The LCM of 9415 and 9408 is associative

LCM of 9408 and 9415 = LCM of 9415 and 9408

Related Least Common Multiples of 9408

Related Least Common Multiples of 9415

Frequently Asked Questions on LCM of 9408 and 9415

1. What is the LCM of 9408 and 9415?

Answer: LCM of 9408 and 9415 is 12653760.

2. 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.

3. What are the Factors of 9415?

Answer: Factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415. There are 8 integers that are factors of 9415. The greatest factor of 9415 is 9415.

4. How to Find the LCM of 9408 and 9415?

Answer:

Least Common Multiple of 9408 and 9415 = 12653760

Step 1: 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 2: Find the prime factorization of 9415

9415 = 5 x 7 x 269

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

LCM = 12653760 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 269

Step 4: Therefore, the least common multiple of 9408 and 9415 is 12653760.