Least Common Multiple of 9417 and 9419

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 9419 the smallest integer that is 88698723 that is divisible by both numbers.

Least Common Multiple (LCM) of 9417 and 9419 is 88698723.

LCM(9417,9419) = 88698723

LCM of 9417 and 9419

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

LCM of:
and

Least Common Multiple of 9417 and 9419

LCM of 9417 and 9419 is 88698723

Least common multiple can be found by multiplying the highest exponent prime factors of 9417 and 9419. First we will calculate the prime factors of 9417 and 9419.

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 9419


9419 9419
1

Prime factors of 9419 are 9419. Prime factorization of 9419 in exponential form is:

9419 = 94191

Now multiplying the highest exponent prime factors to calculate the LCM of 9417 and 9419.

LCM(9417,9419) = 31×431×731×94191
LCM(9417,9419) = 88698723

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 9419

List of positive integer factors of 9419 that divides 9419 without a remainder.

1, 9419

Least Common Multiple of 9417 and 9419 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 9419, than apply into the LCM equation.

GCF(9417,9419) = 1
LCM(9417,9419) = ( 9417 × 9419) / 1
LCM(9417,9419) = 88698723 / 1
LCM(9417,9419) = 88698723

Properties of LCM 9417 and 9419

(i) The LCM of 9419 and 9417 is associative

LCM of 9417 and 9419 = LCM of 9419 and 9417

Related Least Common Multiples of 9417

Related Least Common Multiples of 9419

Frequently Asked Questions on LCM of 9417 and 9419

1. What is the LCM of 9417 and 9419?

Answer: LCM of 9417 and 9419 is 88698723.

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 9419?

Answer: Factors of 9419 are 1, 9419. There are 2 integers that are factors of 9419. The greatest factor of 9419 is 9419.

4. How to Find the LCM of 9417 and 9419?

Answer:

Least Common Multiple of 9417 and 9419 = 88698723

Step 1: Find the prime factorization of 9417

9417 = 3 x 43 x 73

Step 2: Find the prime factorization of 9419

9419 = 9419

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

LCM = 88698723 = 3 x 43 x 73 x 9419

Step 4: Therefore, the least common multiple of 9417 and 9419 is 88698723.