Least Common Multiple of 9490 and 9494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9490 and 9494 the smallest integer that is 45049030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9490 and 9494 is 45049030.

LCM(9490,9494) = 45049030

LCM of 9490 and 9494

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

LCM of:
and

Least Common Multiple of 9490 and 9494

LCM of 9490 and 9494 is 45049030

Least common multiple can be found by multiplying the highest exponent prime factors of 9490 and 9494. First we will calculate the prime factors of 9490 and 9494.

Prime Factorization of 9490


2 9490
5 4745
13 949
73 73
1

Prime factors of 9490 are 2, 5, 13,73. Prime factorization of 9490 in exponential form is:

9490 = 21×51×131×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9490 and 9494.

LCM(9490,9494) = 21×51×131×471×731×1011
LCM(9490,9494) = 45049030

Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490

Factors of 9494

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

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

Least Common Multiple of 9490 and 9494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9490 and 9494, than apply into the LCM equation.

GCF(9490,9494) = 2
LCM(9490,9494) = ( 9490 × 9494) / 2
LCM(9490,9494) = 90098060 / 2
LCM(9490,9494) = 45049030

Properties of LCM 9490 and 9494

(i) The LCM of 9494 and 9490 is associative

LCM of 9490 and 9494 = LCM of 9494 and 9490

Related Least Common Multiples of 9490

Related Least Common Multiples of 9494

Frequently Asked Questions on LCM of 9490 and 9494

1. What is the LCM of 9490 and 9494?

Answer: LCM of 9490 and 9494 is 45049030.

2. What are the Factors of 9490?

Answer: Factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490. There are 16 integers that are factors of 9490. The greatest factor of 9490 is 9490.

3. 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.

4. How to Find the LCM of 9490 and 9494?

Answer:

Least Common Multiple of 9490 and 9494 = 45049030

Step 1: Find the prime factorization of 9490

9490 = 2 x 5 x 13 x 73

Step 2: Find the prime factorization of 9494

9494 = 2 x 47 x 101

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

LCM = 45049030 = 2 x 5 x 13 x 47 x 73 x 101

Step 4: Therefore, the least common multiple of 9490 and 9494 is 45049030.