Least Common Multiple of 9402 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 9402 and 9408 the smallest integer that is 14742336 that is divisible by both numbers.

Least Common Multiple (LCM) of 9402 and 9408 is 14742336.

LCM(9402,9408) = 14742336

LCM of 9402 and 9408

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

LCM of:
and

Least Common Multiple of 9402 and 9408

LCM of 9402 and 9408 is 14742336

Least common multiple can be found by multiplying the highest exponent prime factors of 9402 and 9408. First we will calculate the prime factors of 9402 and 9408.

Prime Factorization of 9402


2 9402
3 4701
1567 1567
1

Prime factors of 9402 are 2, 3,1567. Prime factorization of 9402 in exponential form is:

9402 = 21×31×15671

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 9402 and 9408.

LCM(9402,9408) = 26×31×72×15671
LCM(9402,9408) = 14742336

Factors of 9402

List of positive integer factors of 9402 that divides 9402 without a remainder.

1, 2, 3, 6, 1567, 3134, 4701, 9402

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 9402 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 9402 and 9408, than apply into the LCM equation.

GCF(9402,9408) = 6
LCM(9402,9408) = ( 9402 × 9408) / 6
LCM(9402,9408) = 88454016 / 6
LCM(9402,9408) = 14742336

Properties of LCM 9402 and 9408

(i) The LCM of 9408 and 9402 is associative

LCM of 9402 and 9408 = LCM of 9408 and 9402

Related Least Common Multiples of 9402

Related Least Common Multiples of 9408

Frequently Asked Questions on LCM of 9402 and 9408

1. What is the LCM of 9402 and 9408?

Answer: LCM of 9402 and 9408 is 14742336.

2. What are the Factors of 9402?

Answer: Factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402. There are 8 integers that are factors of 9402. The greatest factor of 9402 is 9402.

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 9402 and 9408?

Answer:

Least Common Multiple of 9402 and 9408 = 14742336

Step 1: Find the prime factorization of 9402

9402 = 2 x 3 x 1567

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 = 14742336 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 1567

Step 4: Therefore, the least common multiple of 9402 and 9408 is 14742336.