Least Common Multiple of 9488 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 9488 and 9494 the smallest integer that is 45039536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9488 and 9494 is 45039536.

LCM(9488,9494) = 45039536

LCM of 9488 and 9494

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

LCM of:
and

Least Common Multiple of 9488 and 9494

LCM of 9488 and 9494 is 45039536

Least common multiple can be found by multiplying the highest exponent prime factors of 9488 and 9494. First we will calculate the prime factors of 9488 and 9494.

Prime Factorization of 9488


2 9488
2 4744
2 2372
2 1186
593 593
1

Prime factors of 9488 are 2,593. Prime factorization of 9488 in exponential form is:

9488 = 24×5931

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 9488 and 9494.

LCM(9488,9494) = 24×471×1011×5931
LCM(9488,9494) = 45039536

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488

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 9488 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 9488 and 9494, than apply into the LCM equation.

GCF(9488,9494) = 2
LCM(9488,9494) = ( 9488 × 9494) / 2
LCM(9488,9494) = 90079072 / 2
LCM(9488,9494) = 45039536

Properties of LCM 9488 and 9494

(i) The LCM of 9494 and 9488 is associative

LCM of 9488 and 9494 = LCM of 9494 and 9488

Related Least Common Multiples of 9488

Related Least Common Multiples of 9494

Frequently Asked Questions on LCM of 9488 and 9494

1. What is the LCM of 9488 and 9494?

Answer: LCM of 9488 and 9494 is 45039536.

2. What are the Factors of 9488?

Answer: Factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488. There are 10 integers that are factors of 9488. The greatest factor of 9488 is 9488.

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 9488 and 9494?

Answer:

Least Common Multiple of 9488 and 9494 = 45039536

Step 1: Find the prime factorization of 9488

9488 = 2 x 2 x 2 x 2 x 593

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 = 45039536 = 2 x 2 x 2 x 2 x 47 x 101 x 593

Step 4: Therefore, the least common multiple of 9488 and 9494 is 45039536.