Least Common Multiple of 9594 and 9598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9594 and 9598 the smallest integer that is 46041606 that is divisible by both numbers.

Least Common Multiple (LCM) of 9594 and 9598 is 46041606.

LCM(9594,9598) = 46041606

LCM of 9594 and 9598

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

LCM of:
and

Least Common Multiple of 9594 and 9598

LCM of 9594 and 9598 is 46041606

Least common multiple can be found by multiplying the highest exponent prime factors of 9594 and 9598. First we will calculate the prime factors of 9594 and 9598.

Prime Factorization of 9594


2 9594
3 4797
3 1599
13 533
41 41
1

Prime factors of 9594 are 2, 3, 13,41. Prime factorization of 9594 in exponential form is:

9594 = 21×32×131×411

Prime Factorization of 9598


2 9598
4799 4799
1

Prime factors of 9598 are 2,4799. Prime factorization of 9598 in exponential form is:

9598 = 21×47991

Now multiplying the highest exponent prime factors to calculate the LCM of 9594 and 9598.

LCM(9594,9598) = 21×32×131×411×47991
LCM(9594,9598) = 46041606

Factors of 9594

List of positive integer factors of 9594 that divides 9594 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594

Factors of 9598

List of positive integer factors of 9598 that divides 9598 without a remainder.

1, 2, 4799, 9598

Least Common Multiple of 9594 and 9598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9594 and 9598, than apply into the LCM equation.

GCF(9594,9598) = 2
LCM(9594,9598) = ( 9594 × 9598) / 2
LCM(9594,9598) = 92083212 / 2
LCM(9594,9598) = 46041606

Properties of LCM 9594 and 9598

(i) The LCM of 9598 and 9594 is associative

LCM of 9594 and 9598 = LCM of 9598 and 9594

Related Least Common Multiples of 9594

Related Least Common Multiples of 9598

Frequently Asked Questions on LCM of 9594 and 9598

1. What is the LCM of 9594 and 9598?

Answer: LCM of 9594 and 9598 is 46041606.

2. What are the Factors of 9594?

Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.

3. What are the Factors of 9598?

Answer: Factors of 9598 are 1, 2, 4799, 9598. There are 4 integers that are factors of 9598. The greatest factor of 9598 is 9598.

4. How to Find the LCM of 9594 and 9598?

Answer:

Least Common Multiple of 9594 and 9598 = 46041606

Step 1: Find the prime factorization of 9594

9594 = 2 x 3 x 3 x 13 x 41

Step 2: Find the prime factorization of 9598

9598 = 2 x 4799

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

LCM = 46041606 = 2 x 3 x 3 x 13 x 41 x 4799

Step 4: Therefore, the least common multiple of 9594 and 9598 is 46041606.