Least Common Multiple of 9598 and 9605

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 9605 the smallest integer that is 92188790 that is divisible by both numbers.

Least Common Multiple (LCM) of 9598 and 9605 is 92188790.

LCM(9598,9605) = 92188790

LCM of 9598 and 9605

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

LCM of:
and

Least Common Multiple of 9598 and 9605

LCM of 9598 and 9605 is 92188790

Least common multiple can be found by multiplying the highest exponent prime factors of 9598 and 9605. First we will calculate the prime factors of 9598 and 9605.

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 9605


5 9605
17 1921
113 113
1

Prime factors of 9605 are 5, 17,113. Prime factorization of 9605 in exponential form is:

9605 = 51×171×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9598 and 9605.

LCM(9598,9605) = 21×51×171×1131×47991
LCM(9598,9605) = 92188790

Factors of 9598

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

1, 2, 4799, 9598

Factors of 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1, 5, 17, 85, 113, 565, 1921, 9605

Least Common Multiple of 9598 and 9605 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 9605, than apply into the LCM equation.

GCF(9598,9605) = 1
LCM(9598,9605) = ( 9598 × 9605) / 1
LCM(9598,9605) = 92188790 / 1
LCM(9598,9605) = 92188790

Properties of LCM 9598 and 9605

(i) The LCM of 9605 and 9598 is associative

LCM of 9598 and 9605 = LCM of 9605 and 9598

Related Least Common Multiples of 9598

Related Least Common Multiples of 9605

Frequently Asked Questions on LCM of 9598 and 9605

1. What is the LCM of 9598 and 9605?

Answer: LCM of 9598 and 9605 is 92188790.

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 9605?

Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.

4. How to Find the LCM of 9598 and 9605?

Answer:

Least Common Multiple of 9598 and 9605 = 92188790

Step 1: Find the prime factorization of 9598

9598 = 2 x 4799

Step 2: Find the prime factorization of 9605

9605 = 5 x 17 x 113

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

LCM = 92188790 = 2 x 5 x 17 x 113 x 4799

Step 4: Therefore, the least common multiple of 9598 and 9605 is 92188790.