Least Common Multiple of 9494 and 9498

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 9498 the smallest integer that is 45087006 that is divisible by both numbers.

Least Common Multiple (LCM) of 9494 and 9498 is 45087006.

LCM(9494,9498) = 45087006

LCM of 9494 and 9498

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

LCM of:
and

Least Common Multiple of 9494 and 9498

LCM of 9494 and 9498 is 45087006

Least common multiple can be found by multiplying the highest exponent prime factors of 9494 and 9498. First we will calculate the prime factors of 9494 and 9498.

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 9498


2 9498
3 4749
1583 1583
1

Prime factors of 9498 are 2, 3,1583. Prime factorization of 9498 in exponential form is:

9498 = 21×31×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 9494 and 9498.

LCM(9494,9498) = 21×31×471×1011×15831
LCM(9494,9498) = 45087006

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 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1, 2, 3, 6, 1583, 3166, 4749, 9498

Least Common Multiple of 9494 and 9498 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 9498, than apply into the LCM equation.

GCF(9494,9498) = 2
LCM(9494,9498) = ( 9494 × 9498) / 2
LCM(9494,9498) = 90174012 / 2
LCM(9494,9498) = 45087006

Properties of LCM 9494 and 9498

(i) The LCM of 9498 and 9494 is associative

LCM of 9494 and 9498 = LCM of 9498 and 9494

Related Least Common Multiples of 9494

Related Least Common Multiples of 9498

Frequently Asked Questions on LCM of 9494 and 9498

1. What is the LCM of 9494 and 9498?

Answer: LCM of 9494 and 9498 is 45087006.

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 9498?

Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.

4. How to Find the LCM of 9494 and 9498?

Answer:

Least Common Multiple of 9494 and 9498 = 45087006

Step 1: Find the prime factorization of 9494

9494 = 2 x 47 x 101

Step 2: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

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

LCM = 45087006 = 2 x 3 x 47 x 101 x 1583

Step 4: Therefore, the least common multiple of 9494 and 9498 is 45087006.