Least Common Multiple of 9592 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 9592 and 9598 the smallest integer that is 46032008 that is divisible by both numbers.

Least Common Multiple (LCM) of 9592 and 9598 is 46032008.

LCM(9592,9598) = 46032008

LCM of 9592 and 9598

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

LCM of:
and

Least Common Multiple of 9592 and 9598

LCM of 9592 and 9598 is 46032008

Least common multiple can be found by multiplying the highest exponent prime factors of 9592 and 9598. First we will calculate the prime factors of 9592 and 9598.

Prime Factorization of 9592


2 9592
2 4796
2 2398
11 1199
109 109
1

Prime factors of 9592 are 2, 11,109. Prime factorization of 9592 in exponential form is:

9592 = 23×111×1091

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 9592 and 9598.

LCM(9592,9598) = 23×111×1091×47991
LCM(9592,9598) = 46032008

Factors of 9592

List of positive integer factors of 9592 that divides 9592 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592

Factors of 9598

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

1, 2, 4799, 9598

Least Common Multiple of 9592 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 9592 and 9598, than apply into the LCM equation.

GCF(9592,9598) = 2
LCM(9592,9598) = ( 9592 × 9598) / 2
LCM(9592,9598) = 92064016 / 2
LCM(9592,9598) = 46032008

Properties of LCM 9592 and 9598

(i) The LCM of 9598 and 9592 is associative

LCM of 9592 and 9598 = LCM of 9598 and 9592

Related Least Common Multiples of 9592

Related Least Common Multiples of 9598

Frequently Asked Questions on LCM of 9592 and 9598

1. What is the LCM of 9592 and 9598?

Answer: LCM of 9592 and 9598 is 46032008.

2. What are the Factors of 9592?

Answer: Factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592. There are 16 integers that are factors of 9592. The greatest factor of 9592 is 9592.

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 9592 and 9598?

Answer:

Least Common Multiple of 9592 and 9598 = 46032008

Step 1: Find the prime factorization of 9592

9592 = 2 x 2 x 2 x 11 x 109

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 = 46032008 = 2 x 2 x 2 x 11 x 109 x 4799

Step 4: Therefore, the least common multiple of 9592 and 9598 is 46032008.