Least Common Multiple of 9602 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 9602 and 9606 the smallest integer that is 46118406 that is divisible by both numbers.

Least Common Multiple (LCM) of 9602 and 9606 is 46118406.

LCM(9602,9606) = 46118406

LCM of 9602 and 9606

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

LCM of:
and

Least Common Multiple of 9602 and 9606

LCM of 9602 and 9606 is 46118406

Least common multiple can be found by multiplying the highest exponent prime factors of 9602 and 9606. First we will calculate the prime factors of 9602 and 9606.

Prime Factorization of 9602


2 9602
4801 4801
1

Prime factors of 9602 are 2,4801. Prime factorization of 9602 in exponential form is:

9602 = 21×48011

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 9602 and 9606.

LCM(9602,9606) = 21×31×16011×48011
LCM(9602,9606) = 46118406

Factors of 9602

List of positive integer factors of 9602 that divides 9602 without a remainder.

1, 2, 4801, 9602

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 9602 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 9602 and 9606, than apply into the LCM equation.

GCF(9602,9606) = 2
LCM(9602,9606) = ( 9602 × 9606) / 2
LCM(9602,9606) = 92236812 / 2
LCM(9602,9606) = 46118406

Properties of LCM 9602 and 9606

(i) The LCM of 9606 and 9602 is associative

LCM of 9602 and 9606 = LCM of 9606 and 9602

Related Least Common Multiples of 9602

Related Least Common Multiples of 9606

Frequently Asked Questions on LCM of 9602 and 9606

1. What is the LCM of 9602 and 9606?

Answer: LCM of 9602 and 9606 is 46118406.

2. What are the Factors of 9602?

Answer: Factors of 9602 are 1, 2, 4801, 9602. There are 4 integers that are factors of 9602. The greatest factor of 9602 is 9602.

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 9602 and 9606?

Answer:

Least Common Multiple of 9602 and 9606 = 46118406

Step 1: Find the prime factorization of 9602

9602 = 2 x 4801

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 = 46118406 = 2 x 3 x 1601 x 4801

Step 4: Therefore, the least common multiple of 9602 and 9606 is 46118406.