Least Common Multiple of 9606 and 9612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9606 and 9612 the smallest integer that is 15388812 that is divisible by both numbers.

Least Common Multiple (LCM) of 9606 and 9612 is 15388812.

LCM(9606,9612) = 15388812

LCM of 9606 and 9612

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

LCM of:
and

Least Common Multiple of 9606 and 9612

LCM of 9606 and 9612 is 15388812

Least common multiple can be found by multiplying the highest exponent prime factors of 9606 and 9612. First we will calculate the prime factors of 9606 and 9612.

Prime Factorization of 9606


2 9606
3 4803
1601 1601
1

Prime factors of 9606 are 2, 3,1601. Prime factorization of 9606 in exponential form is:

9606 = 21×31×16011

Prime Factorization of 9612


2 9612
2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 9612 are 2, 3,89. Prime factorization of 9612 in exponential form is:

9612 = 22×33×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9606 and 9612.

LCM(9606,9612) = 22×33×891×16011
LCM(9606,9612) = 15388812

Factors of 9606

List of positive integer factors of 9606 that divides 9606 without a remainder.

1, 2, 3, 6, 1601, 3202, 4803, 9606

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612

Least Common Multiple of 9606 and 9612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9606 and 9612, than apply into the LCM equation.

GCF(9606,9612) = 6
LCM(9606,9612) = ( 9606 × 9612) / 6
LCM(9606,9612) = 92332872 / 6
LCM(9606,9612) = 15388812

Properties of LCM 9606 and 9612

(i) The LCM of 9612 and 9606 is associative

LCM of 9606 and 9612 = LCM of 9612 and 9606

Related Least Common Multiples of 9606

Related Least Common Multiples of 9612

Frequently Asked Questions on LCM of 9606 and 9612

1. What is the LCM of 9606 and 9612?

Answer: LCM of 9606 and 9612 is 15388812.

2. What are the Factors of 9606?

Answer: Factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606. There are 8 integers that are factors of 9606. The greatest factor of 9606 is 9606.

3. What are the Factors of 9612?

Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.

4. How to Find the LCM of 9606 and 9612?

Answer:

Least Common Multiple of 9606 and 9612 = 15388812

Step 1: Find the prime factorization of 9606

9606 = 2 x 3 x 1601

Step 2: Find the prime factorization of 9612

9612 = 2 x 2 x 3 x 3 x 3 x 89

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

LCM = 15388812 = 2 x 2 x 3 x 3 x 3 x 89 x 1601

Step 4: Therefore, the least common multiple of 9606 and 9612 is 15388812.