Least Common Multiple of 9608 and 9613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9608 and 9613 the smallest integer that is 92361704 that is divisible by both numbers.

Least Common Multiple (LCM) of 9608 and 9613 is 92361704.

LCM(9608,9613) = 92361704

LCM of 9608 and 9613

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

LCM of:
and

Least Common Multiple of 9608 and 9613

LCM of 9608 and 9613 is 92361704

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9613. First we will calculate the prime factors of 9608 and 9613.

Prime Factorization of 9608


2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 9608 are 2,1201. Prime factorization of 9608 in exponential form is:

9608 = 23×12011

Prime Factorization of 9613


9613 9613
1

Prime factors of 9613 are 9613. Prime factorization of 9613 in exponential form is:

9613 = 96131

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9613.

LCM(9608,9613) = 23×12011×96131
LCM(9608,9613) = 92361704

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1, 2, 4, 8, 1201, 2402, 4804, 9608

Factors of 9613

List of positive integer factors of 9613 that divides 9613 without a remainder.

1, 9613

Least Common Multiple of 9608 and 9613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9608 and 9613, than apply into the LCM equation.

GCF(9608,9613) = 1
LCM(9608,9613) = ( 9608 × 9613) / 1
LCM(9608,9613) = 92361704 / 1
LCM(9608,9613) = 92361704

Properties of LCM 9608 and 9613

(i) The LCM of 9613 and 9608 is associative

LCM of 9608 and 9613 = LCM of 9613 and 9608

Related Least Common Multiples of 9608

Related Least Common Multiples of 9613

Frequently Asked Questions on LCM of 9608 and 9613

1. What is the LCM of 9608 and 9613?

Answer: LCM of 9608 and 9613 is 92361704.

2. What are the Factors of 9608?

Answer: Factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608. There are 8 integers that are factors of 9608. The greatest factor of 9608 is 9608.

3. What are the Factors of 9613?

Answer: Factors of 9613 are 1, 9613. There are 2 integers that are factors of 9613. The greatest factor of 9613 is 9613.

4. How to Find the LCM of 9608 and 9613?

Answer:

Least Common Multiple of 9608 and 9613 = 92361704

Step 1: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

Step 2: Find the prime factorization of 9613

9613 = 9613

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

LCM = 92361704 = 2 x 2 x 2 x 1201 x 9613

Step 4: Therefore, the least common multiple of 9608 and 9613 is 92361704.