Least Common Multiple of 9417 and 9424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9417 and 9424 the smallest integer that is 88745808 that is divisible by both numbers.

Least Common Multiple (LCM) of 9417 and 9424 is 88745808.

LCM(9417,9424) = 88745808

LCM of 9417 and 9424

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

LCM of:
and

Least Common Multiple of 9417 and 9424

LCM of 9417 and 9424 is 88745808

Least common multiple can be found by multiplying the highest exponent prime factors of 9417 and 9424. First we will calculate the prime factors of 9417 and 9424.

Prime Factorization of 9417


3 9417
43 3139
73 73
1

Prime factors of 9417 are 3, 43,73. Prime factorization of 9417 in exponential form is:

9417 = 31×431×731

Prime Factorization of 9424


2 9424
2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 9424 are 2, 19,31. Prime factorization of 9424 in exponential form is:

9424 = 24×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9417 and 9424.

LCM(9417,9424) = 24×31×191×311×431×731
LCM(9417,9424) = 88745808

Factors of 9417

List of positive integer factors of 9417 that divides 9417 without a remainder.

1, 3, 43, 73, 129, 219, 3139, 9417

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424

Least Common Multiple of 9417 and 9424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9417 and 9424, than apply into the LCM equation.

GCF(9417,9424) = 1
LCM(9417,9424) = ( 9417 × 9424) / 1
LCM(9417,9424) = 88745808 / 1
LCM(9417,9424) = 88745808

Properties of LCM 9417 and 9424

(i) The LCM of 9424 and 9417 is associative

LCM of 9417 and 9424 = LCM of 9424 and 9417

Related Least Common Multiples of 9417

Related Least Common Multiples of 9424

Frequently Asked Questions on LCM of 9417 and 9424

1. What is the LCM of 9417 and 9424?

Answer: LCM of 9417 and 9424 is 88745808.

2. What are the Factors of 9417?

Answer: Factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417. There are 8 integers that are factors of 9417. The greatest factor of 9417 is 9417.

3. What are the Factors of 9424?

Answer: Factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424. There are 20 integers that are factors of 9424. The greatest factor of 9424 is 9424.

4. How to Find the LCM of 9417 and 9424?

Answer:

Least Common Multiple of 9417 and 9424 = 88745808

Step 1: Find the prime factorization of 9417

9417 = 3 x 43 x 73

Step 2: Find the prime factorization of 9424

9424 = 2 x 2 x 2 x 2 x 19 x 31

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

LCM = 88745808 = 2 x 2 x 2 x 2 x 3 x 19 x 31 x 43 x 73

Step 4: Therefore, the least common multiple of 9417 and 9424 is 88745808.