Least Common Multiple of 9604 and 9609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9604 and 9609 the smallest integer that is 92284836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9604 and 9609 is 92284836.

LCM(9604,9609) = 92284836

LCM of 9604 and 9609

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

LCM of:
and

Least Common Multiple of 9604 and 9609

LCM of 9604 and 9609 is 92284836

Least common multiple can be found by multiplying the highest exponent prime factors of 9604 and 9609. First we will calculate the prime factors of 9604 and 9609.

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

Prime Factorization of 9609


3 9609
3203 3203
1

Prime factors of 9609 are 3,3203. Prime factorization of 9609 in exponential form is:

9609 = 31×32031

Now multiplying the highest exponent prime factors to calculate the LCM of 9604 and 9609.

LCM(9604,9609) = 22×31×74×32031
LCM(9604,9609) = 92284836

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

Factors of 9609

List of positive integer factors of 9609 that divides 9609 without a remainder.

1, 3, 3203, 9609

Least Common Multiple of 9604 and 9609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9604 and 9609, than apply into the LCM equation.

GCF(9604,9609) = 1
LCM(9604,9609) = ( 9604 × 9609) / 1
LCM(9604,9609) = 92284836 / 1
LCM(9604,9609) = 92284836

Properties of LCM 9604 and 9609

(i) The LCM of 9609 and 9604 is associative

LCM of 9604 and 9609 = LCM of 9609 and 9604

Related Least Common Multiples of 9604

Related Least Common Multiples of 9609

Frequently Asked Questions on LCM of 9604 and 9609

1. What is the LCM of 9604 and 9609?

Answer: LCM of 9604 and 9609 is 92284836.

2. 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.

3. What are the Factors of 9609?

Answer: Factors of 9609 are 1, 3, 3203, 9609. There are 4 integers that are factors of 9609. The greatest factor of 9609 is 9609.

4. How to Find the LCM of 9604 and 9609?

Answer:

Least Common Multiple of 9604 and 9609 = 92284836

Step 1: Find the prime factorization of 9604

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

Step 2: Find the prime factorization of 9609

9609 = 3 x 3203

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

LCM = 92284836 = 2 x 2 x 3 x 7 x 7 x 7 x 7 x 3203

Step 4: Therefore, the least common multiple of 9604 and 9609 is 92284836.