Least Common Multiple of 9198 and 9205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9198 and 9205 the smallest integer that is 12095370 that is divisible by both numbers.

Least Common Multiple (LCM) of 9198 and 9205 is 12095370.

LCM(9198,9205) = 12095370

LCM of 9198 and 9205

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

LCM of:
and

Least Common Multiple of 9198 and 9205

LCM of 9198 and 9205 is 12095370

Least common multiple can be found by multiplying the highest exponent prime factors of 9198 and 9205. First we will calculate the prime factors of 9198 and 9205.

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

Prime Factorization of 9205


5 9205
7 1841
263 263
1

Prime factors of 9205 are 5, 7,263. Prime factorization of 9205 in exponential form is:

9205 = 51×71×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 9198 and 9205.

LCM(9198,9205) = 21×32×51×71×731×2631
LCM(9198,9205) = 12095370

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

Factors of 9205

List of positive integer factors of 9205 that divides 9205 without a remainder.

1, 5, 7, 35, 263, 1315, 1841, 9205

Least Common Multiple of 9198 and 9205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9198 and 9205, than apply into the LCM equation.

GCF(9198,9205) = 7
LCM(9198,9205) = ( 9198 × 9205) / 7
LCM(9198,9205) = 84667590 / 7
LCM(9198,9205) = 12095370

Properties of LCM 9198 and 9205

(i) The LCM of 9205 and 9198 is associative

LCM of 9198 and 9205 = LCM of 9205 and 9198

Related Least Common Multiples of 9198

Related Least Common Multiples of 9205

Frequently Asked Questions on LCM of 9198 and 9205

1. What is the LCM of 9198 and 9205?

Answer: LCM of 9198 and 9205 is 12095370.

2. 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.

3. What are the Factors of 9205?

Answer: Factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205. There are 8 integers that are factors of 9205. The greatest factor of 9205 is 9205.

4. How to Find the LCM of 9198 and 9205?

Answer:

Least Common Multiple of 9198 and 9205 = 12095370

Step 1: Find the prime factorization of 9198

9198 = 2 x 3 x 3 x 7 x 73

Step 2: Find the prime factorization of 9205

9205 = 5 x 7 x 263

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

LCM = 12095370 = 2 x 3 x 3 x 5 x 7 x 73 x 263

Step 4: Therefore, the least common multiple of 9198 and 9205 is 12095370.