Least Common Multiple of 9603 and 9610

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 9610 the smallest integer that is 92284830 that is divisible by both numbers.

Least Common Multiple (LCM) of 9603 and 9610 is 92284830.

LCM(9603,9610) = 92284830

LCM of 9603 and 9610

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

LCM of:
and

Least Common Multiple of 9603 and 9610

LCM of 9603 and 9610 is 92284830

Least common multiple can be found by multiplying the highest exponent prime factors of 9603 and 9610. First we will calculate the prime factors of 9603 and 9610.

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 9610


2 9610
5 4805
31 961
31 31
1

Prime factors of 9610 are 2, 5,31. Prime factorization of 9610 in exponential form is:

9610 = 21×51×312

Now multiplying the highest exponent prime factors to calculate the LCM of 9603 and 9610.

LCM(9603,9610) = 21×32×51×111×312×971
LCM(9603,9610) = 92284830

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 9610

List of positive integer factors of 9610 that divides 9610 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610

Least Common Multiple of 9603 and 9610 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 9610, than apply into the LCM equation.

GCF(9603,9610) = 1
LCM(9603,9610) = ( 9603 × 9610) / 1
LCM(9603,9610) = 92284830 / 1
LCM(9603,9610) = 92284830

Properties of LCM 9603 and 9610

(i) The LCM of 9610 and 9603 is associative

LCM of 9603 and 9610 = LCM of 9610 and 9603

Related Least Common Multiples of 9603

Related Least Common Multiples of 9610

Frequently Asked Questions on LCM of 9603 and 9610

1. What is the LCM of 9603 and 9610?

Answer: LCM of 9603 and 9610 is 92284830.

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 9610?

Answer: Factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610. There are 12 integers that are factors of 9610. The greatest factor of 9610 is 9610.

4. How to Find the LCM of 9603 and 9610?

Answer:

Least Common Multiple of 9603 and 9610 = 92284830

Step 1: Find the prime factorization of 9603

9603 = 3 x 3 x 11 x 97

Step 2: Find the prime factorization of 9610

9610 = 2 x 5 x 31 x 31

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

LCM = 92284830 = 2 x 3 x 3 x 5 x 11 x 31 x 31 x 97

Step 4: Therefore, the least common multiple of 9603 and 9610 is 92284830.