Least Common Multiple of 9601 and 9608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9601 and 9608 the smallest integer that is 92246408 that is divisible by both numbers.

Least Common Multiple (LCM) of 9601 and 9608 is 92246408.

LCM(9601,9608) = 92246408

LCM of 9601 and 9608

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

LCM of:
and

Least Common Multiple of 9601 and 9608

LCM of 9601 and 9608 is 92246408

Least common multiple can be found by multiplying the highest exponent prime factors of 9601 and 9608. First we will calculate the prime factors of 9601 and 9608.

Prime Factorization of 9601


9601 9601
1

Prime factors of 9601 are 9601. Prime factorization of 9601 in exponential form is:

9601 = 96011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9601 and 9608.

LCM(9601,9608) = 23×12011×96011
LCM(9601,9608) = 92246408

Factors of 9601

List of positive integer factors of 9601 that divides 9601 without a remainder.

1, 9601

Factors of 9608

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

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

Least Common Multiple of 9601 and 9608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9601 and 9608, than apply into the LCM equation.

GCF(9601,9608) = 1
LCM(9601,9608) = ( 9601 × 9608) / 1
LCM(9601,9608) = 92246408 / 1
LCM(9601,9608) = 92246408

Properties of LCM 9601 and 9608

(i) The LCM of 9608 and 9601 is associative

LCM of 9601 and 9608 = LCM of 9608 and 9601

Related Least Common Multiples of 9601

Related Least Common Multiples of 9608

Frequently Asked Questions on LCM of 9601 and 9608

1. What is the LCM of 9601 and 9608?

Answer: LCM of 9601 and 9608 is 92246408.

2. What are the Factors of 9601?

Answer: Factors of 9601 are 1, 9601. There are 2 integers that are factors of 9601. The greatest factor of 9601 is 9601.

3. 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.

4. How to Find the LCM of 9601 and 9608?

Answer:

Least Common Multiple of 9601 and 9608 = 92246408

Step 1: Find the prime factorization of 9601

9601 = 9601

Step 2: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

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

LCM = 92246408 = 2 x 2 x 2 x 1201 x 9601

Step 4: Therefore, the least common multiple of 9601 and 9608 is 92246408.