Least Common Multiple of 9612 and 9618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9612 and 9618 the smallest integer that is 15408036 that is divisible by both numbers.

Least Common Multiple (LCM) of 9612 and 9618 is 15408036.

LCM(9612,9618) = 15408036

LCM of 9612 and 9618

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

LCM of:
and

Least Common Multiple of 9612 and 9618

LCM of 9612 and 9618 is 15408036

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9618. First we will calculate the prime factors of 9612 and 9618.

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

Prime Factorization of 9618


2 9618
3 4809
7 1603
229 229
1

Prime factors of 9618 are 2, 3, 7,229. Prime factorization of 9618 in exponential form is:

9618 = 21×31×71×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 9612 and 9618.

LCM(9612,9618) = 22×33×71×891×2291
LCM(9612,9618) = 15408036

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

Factors of 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618

Least Common Multiple of 9612 and 9618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9612 and 9618, than apply into the LCM equation.

GCF(9612,9618) = 6
LCM(9612,9618) = ( 9612 × 9618) / 6
LCM(9612,9618) = 92448216 / 6
LCM(9612,9618) = 15408036

Properties of LCM 9612 and 9618

(i) The LCM of 9618 and 9612 is associative

LCM of 9612 and 9618 = LCM of 9618 and 9612

Related Least Common Multiples of 9612

Related Least Common Multiples of 9618

Frequently Asked Questions on LCM of 9612 and 9618

1. What is the LCM of 9612 and 9618?

Answer: LCM of 9612 and 9618 is 15408036.

2. 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.

3. What are the Factors of 9618?

Answer: Factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618. There are 16 integers that are factors of 9618. The greatest factor of 9618 is 9618.

4. How to Find the LCM of 9612 and 9618?

Answer:

Least Common Multiple of 9612 and 9618 = 15408036

Step 1: Find the prime factorization of 9612

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

Step 2: Find the prime factorization of 9618

9618 = 2 x 3 x 7 x 229

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

LCM = 15408036 = 2 x 2 x 3 x 3 x 3 x 7 x 89 x 229

Step 4: Therefore, the least common multiple of 9612 and 9618 is 15408036.