Least Common Multiple of 9601 and 9606

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 9606 the smallest integer that is 92227206 that is divisible by both numbers.

Least Common Multiple (LCM) of 9601 and 9606 is 92227206.

LCM(9601,9606) = 92227206

LCM of 9601 and 9606

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

LCM of:
and

Least Common Multiple of 9601 and 9606

LCM of 9601 and 9606 is 92227206

Least common multiple can be found by multiplying the highest exponent prime factors of 9601 and 9606. First we will calculate the prime factors of 9601 and 9606.

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 9606


2 9606
3 4803
1601 1601
1

Prime factors of 9606 are 2, 3,1601. Prime factorization of 9606 in exponential form is:

9606 = 21×31×16011

Now multiplying the highest exponent prime factors to calculate the LCM of 9601 and 9606.

LCM(9601,9606) = 21×31×16011×96011
LCM(9601,9606) = 92227206

Factors of 9601

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

1, 9601

Factors of 9606

List of positive integer factors of 9606 that divides 9606 without a remainder.

1, 2, 3, 6, 1601, 3202, 4803, 9606

Least Common Multiple of 9601 and 9606 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 9606, than apply into the LCM equation.

GCF(9601,9606) = 1
LCM(9601,9606) = ( 9601 × 9606) / 1
LCM(9601,9606) = 92227206 / 1
LCM(9601,9606) = 92227206

Properties of LCM 9601 and 9606

(i) The LCM of 9606 and 9601 is associative

LCM of 9601 and 9606 = LCM of 9606 and 9601

Related Least Common Multiples of 9601

Related Least Common Multiples of 9606

Frequently Asked Questions on LCM of 9601 and 9606

1. What is the LCM of 9601 and 9606?

Answer: LCM of 9601 and 9606 is 92227206.

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 9606?

Answer: Factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606. There are 8 integers that are factors of 9606. The greatest factor of 9606 is 9606.

4. How to Find the LCM of 9601 and 9606?

Answer:

Least Common Multiple of 9601 and 9606 = 92227206

Step 1: Find the prime factorization of 9601

9601 = 9601

Step 2: Find the prime factorization of 9606

9606 = 2 x 3 x 1601

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

LCM = 92227206 = 2 x 3 x 1601 x 9601

Step 4: Therefore, the least common multiple of 9601 and 9606 is 92227206.