Least Common Multiple of 9598 and 9604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9598 and 9604 the smallest integer that is 46089596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9598 and 9604 is 46089596.

LCM(9598,9604) = 46089596

LCM of 9598 and 9604

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

LCM of:
and

Least Common Multiple of 9598 and 9604

LCM of 9598 and 9604 is 46089596

Least common multiple can be found by multiplying the highest exponent prime factors of 9598 and 9604. First we will calculate the prime factors of 9598 and 9604.

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

Prime Factorization of 9604


2 9604
2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:

9604 = 22×74

Now multiplying the highest exponent prime factors to calculate the LCM of 9598 and 9604.

LCM(9598,9604) = 22×74×47991
LCM(9598,9604) = 46089596

Factors of 9598

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

1, 2, 4799, 9598

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

Least Common Multiple of 9598 and 9604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9598 and 9604, than apply into the LCM equation.

GCF(9598,9604) = 2
LCM(9598,9604) = ( 9598 × 9604) / 2
LCM(9598,9604) = 92179192 / 2
LCM(9598,9604) = 46089596

Properties of LCM 9598 and 9604

(i) The LCM of 9604 and 9598 is associative

LCM of 9598 and 9604 = LCM of 9604 and 9598

Related Least Common Multiples of 9598

Related Least Common Multiples of 9604

Frequently Asked Questions on LCM of 9598 and 9604

1. What is the LCM of 9598 and 9604?

Answer: LCM of 9598 and 9604 is 46089596.

2. 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.

3. What are the Factors of 9604?

Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.

4. How to Find the LCM of 9598 and 9604?

Answer:

Least Common Multiple of 9598 and 9604 = 46089596

Step 1: Find the prime factorization of 9598

9598 = 2 x 4799

Step 2: Find the prime factorization of 9604

9604 = 2 x 2 x 7 x 7 x 7 x 7

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

LCM = 46089596 = 2 x 2 x 7 x 7 x 7 x 7 x 4799

Step 4: Therefore, the least common multiple of 9598 and 9604 is 46089596.