Least Common Multiple of 9494 and 9497

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 9497 the smallest integer that is 90164518 that is divisible by both numbers.

Least Common Multiple (LCM) of 9494 and 9497 is 90164518.

LCM(9494,9497) = 90164518

LCM of 9494 and 9497

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

LCM of:
and

Least Common Multiple of 9494 and 9497

LCM of 9494 and 9497 is 90164518

Least common multiple can be found by multiplying the highest exponent prime factors of 9494 and 9497. First we will calculate the prime factors of 9494 and 9497.

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 9497


9497 9497
1

Prime factors of 9497 are 9497. Prime factorization of 9497 in exponential form is:

9497 = 94971

Now multiplying the highest exponent prime factors to calculate the LCM of 9494 and 9497.

LCM(9494,9497) = 21×471×1011×94971
LCM(9494,9497) = 90164518

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 9497

List of positive integer factors of 9497 that divides 9497 without a remainder.

1, 9497

Least Common Multiple of 9494 and 9497 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 9497, than apply into the LCM equation.

GCF(9494,9497) = 1
LCM(9494,9497) = ( 9494 × 9497) / 1
LCM(9494,9497) = 90164518 / 1
LCM(9494,9497) = 90164518

Properties of LCM 9494 and 9497

(i) The LCM of 9497 and 9494 is associative

LCM of 9494 and 9497 = LCM of 9497 and 9494

Related Least Common Multiples of 9494

Related Least Common Multiples of 9497

Frequently Asked Questions on LCM of 9494 and 9497

1. What is the LCM of 9494 and 9497?

Answer: LCM of 9494 and 9497 is 90164518.

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 9497?

Answer: Factors of 9497 are 1, 9497. There are 2 integers that are factors of 9497. The greatest factor of 9497 is 9497.

4. How to Find the LCM of 9494 and 9497?

Answer:

Least Common Multiple of 9494 and 9497 = 90164518

Step 1: Find the prime factorization of 9494

9494 = 2 x 47 x 101

Step 2: Find the prime factorization of 9497

9497 = 9497

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

LCM = 90164518 = 2 x 47 x 101 x 9497

Step 4: Therefore, the least common multiple of 9494 and 9497 is 90164518.