Least Common Multiple of 9207 and 9214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9207 and 9214 the smallest integer that is 84833298 that is divisible by both numbers.

Least Common Multiple (LCM) of 9207 and 9214 is 84833298.

LCM(9207,9214) = 84833298

LCM of 9207 and 9214

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

LCM of:
and

Least Common Multiple of 9207 and 9214

LCM of 9207 and 9214 is 84833298

Least common multiple can be found by multiplying the highest exponent prime factors of 9207 and 9214. First we will calculate the prime factors of 9207 and 9214.

Prime Factorization of 9207


3 9207
3 3069
3 1023
11 341
31 31
1

Prime factors of 9207 are 3, 11,31. Prime factorization of 9207 in exponential form is:

9207 = 33×111×311

Prime Factorization of 9214


2 9214
17 4607
271 271
1

Prime factors of 9214 are 2, 17,271. Prime factorization of 9214 in exponential form is:

9214 = 21×171×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 9207 and 9214.

LCM(9207,9214) = 21×33×111×171×311×2711
LCM(9207,9214) = 84833298

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207

Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1, 2, 17, 34, 271, 542, 4607, 9214

Least Common Multiple of 9207 and 9214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9207 and 9214, than apply into the LCM equation.

GCF(9207,9214) = 1
LCM(9207,9214) = ( 9207 × 9214) / 1
LCM(9207,9214) = 84833298 / 1
LCM(9207,9214) = 84833298

Properties of LCM 9207 and 9214

(i) The LCM of 9214 and 9207 is associative

LCM of 9207 and 9214 = LCM of 9214 and 9207

Related Least Common Multiples of 9207

Related Least Common Multiples of 9214

Frequently Asked Questions on LCM of 9207 and 9214

1. What is the LCM of 9207 and 9214?

Answer: LCM of 9207 and 9214 is 84833298.

2. What are the Factors of 9207?

Answer: Factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207. There are 16 integers that are factors of 9207. The greatest factor of 9207 is 9207.

3. What are the Factors of 9214?

Answer: Factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214. There are 8 integers that are factors of 9214. The greatest factor of 9214 is 9214.

4. How to Find the LCM of 9207 and 9214?

Answer:

Least Common Multiple of 9207 and 9214 = 84833298

Step 1: Find the prime factorization of 9207

9207 = 3 x 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 9214

9214 = 2 x 17 x 271

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

LCM = 84833298 = 2 x 3 x 3 x 3 x 11 x 17 x 31 x 271

Step 4: Therefore, the least common multiple of 9207 and 9214 is 84833298.