Least Common Multiple of 9192 and 9198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9192 and 9198 the smallest integer that is 14091336 that is divisible by both numbers.

Least Common Multiple (LCM) of 9192 and 9198 is 14091336.

LCM(9192,9198) = 14091336

LCM of 9192 and 9198

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

LCM of:
and

Least Common Multiple of 9192 and 9198

LCM of 9192 and 9198 is 14091336

Least common multiple can be found by multiplying the highest exponent prime factors of 9192 and 9198. First we will calculate the prime factors of 9192 and 9198.

Prime Factorization of 9192


2 9192
2 4596
2 2298
3 1149
383 383
1

Prime factors of 9192 are 2, 3,383. Prime factorization of 9192 in exponential form is:

9192 = 23×31×3831

Prime Factorization of 9198


2 9198
3 4599
3 1533
7 511
73 73
1

Prime factors of 9198 are 2, 3, 7,73. Prime factorization of 9198 in exponential form is:

9198 = 21×32×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9192 and 9198.

LCM(9192,9198) = 23×32×71×731×3831
LCM(9192,9198) = 14091336

Factors of 9192

List of positive integer factors of 9192 that divides 9192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192

Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198

Least Common Multiple of 9192 and 9198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9192 and 9198, than apply into the LCM equation.

GCF(9192,9198) = 6
LCM(9192,9198) = ( 9192 × 9198) / 6
LCM(9192,9198) = 84548016 / 6
LCM(9192,9198) = 14091336

Properties of LCM 9192 and 9198

(i) The LCM of 9198 and 9192 is associative

LCM of 9192 and 9198 = LCM of 9198 and 9192

Related Least Common Multiples of 9192

Related Least Common Multiples of 9198

Frequently Asked Questions on LCM of 9192 and 9198

1. What is the LCM of 9192 and 9198?

Answer: LCM of 9192 and 9198 is 14091336.

2. What are the Factors of 9192?

Answer: Factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192. There are 16 integers that are factors of 9192. The greatest factor of 9192 is 9192.

3. What are the Factors of 9198?

Answer: Factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198. There are 24 integers that are factors of 9198. The greatest factor of 9198 is 9198.

4. How to Find the LCM of 9192 and 9198?

Answer:

Least Common Multiple of 9192 and 9198 = 14091336

Step 1: Find the prime factorization of 9192

9192 = 2 x 2 x 2 x 3 x 383

Step 2: Find the prime factorization of 9198

9198 = 2 x 3 x 3 x 7 x 73

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

LCM = 14091336 = 2 x 2 x 2 x 3 x 3 x 7 x 73 x 383

Step 4: Therefore, the least common multiple of 9192 and 9198 is 14091336.