Least Common Multiple of 9603 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 9603 and 9608 the smallest integer that is 92265624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9603 and 9608 is 92265624.

LCM(9603,9608) = 92265624

LCM of 9603 and 9608

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

LCM of:
and

Least Common Multiple of 9603 and 9608

LCM of 9603 and 9608 is 92265624

Least common multiple can be found by multiplying the highest exponent prime factors of 9603 and 9608. First we will calculate the prime factors of 9603 and 9608.

Prime Factorization of 9603


3 9603
3 3201
11 1067
97 97
1

Prime factors of 9603 are 3, 11,97. Prime factorization of 9603 in exponential form is:

9603 = 32×111×971

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 9603 and 9608.

LCM(9603,9608) = 23×32×111×971×12011
LCM(9603,9608) = 92265624

Factors of 9603

List of positive integer factors of 9603 that divides 9603 without a remainder.

1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603

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 9603 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 9603 and 9608, than apply into the LCM equation.

GCF(9603,9608) = 1
LCM(9603,9608) = ( 9603 × 9608) / 1
LCM(9603,9608) = 92265624 / 1
LCM(9603,9608) = 92265624

Properties of LCM 9603 and 9608

(i) The LCM of 9608 and 9603 is associative

LCM of 9603 and 9608 = LCM of 9608 and 9603

Related Least Common Multiples of 9603

Related Least Common Multiples of 9608

Frequently Asked Questions on LCM of 9603 and 9608

1. What is the LCM of 9603 and 9608?

Answer: LCM of 9603 and 9608 is 92265624.

2. What are the Factors of 9603?

Answer: Factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603. There are 12 integers that are factors of 9603. The greatest factor of 9603 is 9603.

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 9603 and 9608?

Answer:

Least Common Multiple of 9603 and 9608 = 92265624

Step 1: Find the prime factorization of 9603

9603 = 3 x 3 x 11 x 97

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 = 92265624 = 2 x 2 x 2 x 3 x 3 x 11 x 97 x 1201

Step 4: Therefore, the least common multiple of 9603 and 9608 is 92265624.