Least Common Multiple of 9602 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 9602 and 9608 the smallest integer that is 46128008 that is divisible by both numbers.

Least Common Multiple (LCM) of 9602 and 9608 is 46128008.

LCM(9602,9608) = 46128008

LCM of 9602 and 9608

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

LCM of:
and

Least Common Multiple of 9602 and 9608

LCM of 9602 and 9608 is 46128008

Least common multiple can be found by multiplying the highest exponent prime factors of 9602 and 9608. First we will calculate the prime factors of 9602 and 9608.

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 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 9602 and 9608.

LCM(9602,9608) = 23×12011×48011
LCM(9602,9608) = 46128008

Factors of 9602

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

1, 2, 4801, 9602

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 9602 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 9602 and 9608, than apply into the LCM equation.

GCF(9602,9608) = 2
LCM(9602,9608) = ( 9602 × 9608) / 2
LCM(9602,9608) = 92256016 / 2
LCM(9602,9608) = 46128008

Properties of LCM 9602 and 9608

(i) The LCM of 9608 and 9602 is associative

LCM of 9602 and 9608 = LCM of 9608 and 9602

Related Least Common Multiples of 9602

Related Least Common Multiples of 9608

Frequently Asked Questions on LCM of 9602 and 9608

1. What is the LCM of 9602 and 9608?

Answer: LCM of 9602 and 9608 is 46128008.

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 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 9602 and 9608?

Answer:

Least Common Multiple of 9602 and 9608 = 46128008

Step 1: Find the prime factorization of 9602

9602 = 2 x 4801

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 = 46128008 = 2 x 2 x 2 x 1201 x 4801

Step 4: Therefore, the least common multiple of 9602 and 9608 is 46128008.