Least Common Multiple of 9605 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 9605 and 9612 the smallest integer that is 92323260 that is divisible by both numbers.

Least Common Multiple (LCM) of 9605 and 9612 is 92323260.

LCM(9605,9612) = 92323260

LCM of 9605 and 9612

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

LCM of:
and

Least Common Multiple of 9605 and 9612

LCM of 9605 and 9612 is 92323260

Least common multiple can be found by multiplying the highest exponent prime factors of 9605 and 9612. First we will calculate the prime factors of 9605 and 9612.

Prime Factorization of 9605


5 9605
17 1921
113 113
1

Prime factors of 9605 are 5, 17,113. Prime factorization of 9605 in exponential form is:

9605 = 51×171×1131

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 9605 and 9612.

LCM(9605,9612) = 22×33×51×171×891×1131
LCM(9605,9612) = 92323260

Factors of 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1, 5, 17, 85, 113, 565, 1921, 9605

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 9605 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 9605 and 9612, than apply into the LCM equation.

GCF(9605,9612) = 1
LCM(9605,9612) = ( 9605 × 9612) / 1
LCM(9605,9612) = 92323260 / 1
LCM(9605,9612) = 92323260

Properties of LCM 9605 and 9612

(i) The LCM of 9612 and 9605 is associative

LCM of 9605 and 9612 = LCM of 9612 and 9605

Related Least Common Multiples of 9605

Related Least Common Multiples of 9612

Frequently Asked Questions on LCM of 9605 and 9612

1. What is the LCM of 9605 and 9612?

Answer: LCM of 9605 and 9612 is 92323260.

2. What are the Factors of 9605?

Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.

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 9605 and 9612?

Answer:

Least Common Multiple of 9605 and 9612 = 92323260

Step 1: Find the prime factorization of 9605

9605 = 5 x 17 x 113

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 = 92323260 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 89 x 113

Step 4: Therefore, the least common multiple of 9605 and 9612 is 92323260.