Least Common Multiple of 9409 and 9416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9409 and 9416 the smallest integer that is 88595144 that is divisible by both numbers.

Least Common Multiple (LCM) of 9409 and 9416 is 88595144.

LCM(9409,9416) = 88595144

LCM of 9409 and 9416

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

LCM of:
and

Least Common Multiple of 9409 and 9416

LCM of 9409 and 9416 is 88595144

Least common multiple can be found by multiplying the highest exponent prime factors of 9409 and 9416. First we will calculate the prime factors of 9409 and 9416.

Prime Factorization of 9409


97 9409
97 97
1

Prime factors of 9409 are 97. Prime factorization of 9409 in exponential form is:

9409 = 972

Prime Factorization of 9416


2 9416
2 4708
2 2354
11 1177
107 107
1

Prime factors of 9416 are 2, 11,107. Prime factorization of 9416 in exponential form is:

9416 = 23×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9409 and 9416.

LCM(9409,9416) = 23×111×972×1071
LCM(9409,9416) = 88595144

Factors of 9409

List of positive integer factors of 9409 that divides 9409 without a remainder.

1, 97, 9409

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416

Least Common Multiple of 9409 and 9416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9409 and 9416, than apply into the LCM equation.

GCF(9409,9416) = 1
LCM(9409,9416) = ( 9409 × 9416) / 1
LCM(9409,9416) = 88595144 / 1
LCM(9409,9416) = 88595144

Properties of LCM 9409 and 9416

(i) The LCM of 9416 and 9409 is associative

LCM of 9409 and 9416 = LCM of 9416 and 9409

Related Least Common Multiples of 9409

Related Least Common Multiples of 9416

Frequently Asked Questions on LCM of 9409 and 9416

1. What is the LCM of 9409 and 9416?

Answer: LCM of 9409 and 9416 is 88595144.

2. What are the Factors of 9409?

Answer: Factors of 9409 are 1, 97, 9409. There are 3 integers that are factors of 9409. The greatest factor of 9409 is 9409.

3. What are the Factors of 9416?

Answer: Factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416. There are 16 integers that are factors of 9416. The greatest factor of 9416 is 9416.

4. How to Find the LCM of 9409 and 9416?

Answer:

Least Common Multiple of 9409 and 9416 = 88595144

Step 1: Find the prime factorization of 9409

9409 = 97 x 97

Step 2: Find the prime factorization of 9416

9416 = 2 x 2 x 2 x 11 x 107

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

LCM = 88595144 = 2 x 2 x 2 x 11 x 97 x 97 x 107

Step 4: Therefore, the least common multiple of 9409 and 9416 is 88595144.