Least Common Multiple of 9608 and 9616

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 9616 the smallest integer that is 11548816 that is divisible by both numbers.

Least Common Multiple (LCM) of 9608 and 9616 is 11548816.

LCM(9608,9616) = 11548816

LCM of 9608 and 9616

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

LCM of:
and

Least Common Multiple of 9608 and 9616

LCM of 9608 and 9616 is 11548816

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9616. First we will calculate the prime factors of 9608 and 9616.

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 9616


2 9616
2 4808
2 2404
2 1202
601 601
1

Prime factors of 9616 are 2,601. Prime factorization of 9616 in exponential form is:

9616 = 24×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9616.

LCM(9608,9616) = 24×6011×12011
LCM(9608,9616) = 11548816

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 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616

Least Common Multiple of 9608 and 9616 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 9616, than apply into the LCM equation.

GCF(9608,9616) = 8
LCM(9608,9616) = ( 9608 × 9616) / 8
LCM(9608,9616) = 92390528 / 8
LCM(9608,9616) = 11548816

Properties of LCM 9608 and 9616

(i) The LCM of 9616 and 9608 is associative

LCM of 9608 and 9616 = LCM of 9616 and 9608

Related Least Common Multiples of 9608

Related Least Common Multiples of 9616

Frequently Asked Questions on LCM of 9608 and 9616

1. What is the LCM of 9608 and 9616?

Answer: LCM of 9608 and 9616 is 11548816.

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 9616?

Answer: Factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616. There are 10 integers that are factors of 9616. The greatest factor of 9616 is 9616.

4. How to Find the LCM of 9608 and 9616?

Answer:

Least Common Multiple of 9608 and 9616 = 11548816

Step 1: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

Step 2: Find the prime factorization of 9616

9616 = 2 x 2 x 2 x 2 x 601

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

LCM = 11548816 = 2 x 2 x 2 x 2 x 601 x 1201

Step 4: Therefore, the least common multiple of 9608 and 9616 is 11548816.