Least Common Multiple of 9494 and 9499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9494 and 9499 the smallest integer that is 90183506 that is divisible by both numbers.

Least Common Multiple (LCM) of 9494 and 9499 is 90183506.

LCM(9494,9499) = 90183506

LCM of 9494 and 9499

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

LCM of:
and

Least Common Multiple of 9494 and 9499

LCM of 9494 and 9499 is 90183506

Least common multiple can be found by multiplying the highest exponent prime factors of 9494 and 9499. First we will calculate the prime factors of 9494 and 9499.

Prime Factorization of 9494


2 9494
47 4747
101 101
1

Prime factors of 9494 are 2, 47,101. Prime factorization of 9494 in exponential form is:

9494 = 21×471×1011

Prime Factorization of 9499


7 9499
23 1357
59 59
1

Prime factors of 9499 are 7, 23,59. Prime factorization of 9499 in exponential form is:

9499 = 71×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9494 and 9499.

LCM(9494,9499) = 21×71×231×471×591×1011
LCM(9494,9499) = 90183506

Factors of 9494

List of positive integer factors of 9494 that divides 9494 without a remainder.

1, 2, 47, 94, 101, 202, 4747, 9494

Factors of 9499

List of positive integer factors of 9499 that divides 9499 without a remainder.

1, 7, 23, 59, 161, 413, 1357, 9499

Least Common Multiple of 9494 and 9499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9494 and 9499, than apply into the LCM equation.

GCF(9494,9499) = 1
LCM(9494,9499) = ( 9494 × 9499) / 1
LCM(9494,9499) = 90183506 / 1
LCM(9494,9499) = 90183506

Properties of LCM 9494 and 9499

(i) The LCM of 9499 and 9494 is associative

LCM of 9494 and 9499 = LCM of 9499 and 9494

Related Least Common Multiples of 9494

Related Least Common Multiples of 9499

Frequently Asked Questions on LCM of 9494 and 9499

1. What is the LCM of 9494 and 9499?

Answer: LCM of 9494 and 9499 is 90183506.

2. What are the Factors of 9494?

Answer: Factors of 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494. There are 8 integers that are factors of 9494. The greatest factor of 9494 is 9494.

3. What are the Factors of 9499?

Answer: Factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499. There are 8 integers that are factors of 9499. The greatest factor of 9499 is 9499.

4. How to Find the LCM of 9494 and 9499?

Answer:

Least Common Multiple of 9494 and 9499 = 90183506

Step 1: Find the prime factorization of 9494

9494 = 2 x 47 x 101

Step 2: Find the prime factorization of 9499

9499 = 7 x 23 x 59

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

LCM = 90183506 = 2 x 7 x 23 x 47 x 59 x 101

Step 4: Therefore, the least common multiple of 9494 and 9499 is 90183506.