Least Common Multiple of 9604 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 9604 and 9612 the smallest integer that is 23078412 that is divisible by both numbers.

Least Common Multiple (LCM) of 9604 and 9612 is 23078412.

LCM(9604,9612) = 23078412

LCM of 9604 and 9612

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

LCM of:
and

Least Common Multiple of 9604 and 9612

LCM of 9604 and 9612 is 23078412

Least common multiple can be found by multiplying the highest exponent prime factors of 9604 and 9612. First we will calculate the prime factors of 9604 and 9612.

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 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 9604 and 9612.

LCM(9604,9612) = 22×33×74×891
LCM(9604,9612) = 23078412

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 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 9604 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 9604 and 9612, than apply into the LCM equation.

GCF(9604,9612) = 4
LCM(9604,9612) = ( 9604 × 9612) / 4
LCM(9604,9612) = 92313648 / 4
LCM(9604,9612) = 23078412

Properties of LCM 9604 and 9612

(i) The LCM of 9612 and 9604 is associative

LCM of 9604 and 9612 = LCM of 9612 and 9604

Related Least Common Multiples of 9604

Related Least Common Multiples of 9612

Frequently Asked Questions on LCM of 9604 and 9612

1. What is the LCM of 9604 and 9612?

Answer: LCM of 9604 and 9612 is 23078412.

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 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 9604 and 9612?

Answer:

Least Common Multiple of 9604 and 9612 = 23078412

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 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 = 23078412 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 7 x 89

Step 4: Therefore, the least common multiple of 9604 and 9612 is 23078412.