Least Common Multiple of 9602 and 9604

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 9604 the smallest integer that is 46108804 that is divisible by both numbers.

Least Common Multiple (LCM) of 9602 and 9604 is 46108804.

LCM(9602,9604) = 46108804

LCM of 9602 and 9604

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

LCM of:
and

Least Common Multiple of 9602 and 9604

LCM of 9602 and 9604 is 46108804

Least common multiple can be found by multiplying the highest exponent prime factors of 9602 and 9604. First we will calculate the prime factors of 9602 and 9604.

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 9604


2 9604
2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:

9604 = 22×74

Now multiplying the highest exponent prime factors to calculate the LCM of 9602 and 9604.

LCM(9602,9604) = 22×74×48011
LCM(9602,9604) = 46108804

Factors of 9602

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

1, 2, 4801, 9602

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

Least Common Multiple of 9602 and 9604 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 9604, than apply into the LCM equation.

GCF(9602,9604) = 2
LCM(9602,9604) = ( 9602 × 9604) / 2
LCM(9602,9604) = 92217608 / 2
LCM(9602,9604) = 46108804

Properties of LCM 9602 and 9604

(i) The LCM of 9604 and 9602 is associative

LCM of 9602 and 9604 = LCM of 9604 and 9602

Related Least Common Multiples of 9602

Related Least Common Multiples of 9604

Frequently Asked Questions on LCM of 9602 and 9604

1. What is the LCM of 9602 and 9604?

Answer: LCM of 9602 and 9604 is 46108804.

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 9604?

Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.

4. How to Find the LCM of 9602 and 9604?

Answer:

Least Common Multiple of 9602 and 9604 = 46108804

Step 1: Find the prime factorization of 9602

9602 = 2 x 4801

Step 2: Find the prime factorization of 9604

9604 = 2 x 2 x 7 x 7 x 7 x 7

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

LCM = 46108804 = 2 x 2 x 7 x 7 x 7 x 7 x 4801

Step 4: Therefore, the least common multiple of 9602 and 9604 is 46108804.