Least Common Multiple of 9207 and 9208

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 9208 the smallest integer that is 84778056 that is divisible by both numbers.

Least Common Multiple (LCM) of 9207 and 9208 is 84778056.

LCM(9207,9208) = 84778056

LCM of 9207 and 9208

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

LCM of:
and

Least Common Multiple of 9207 and 9208

LCM of 9207 and 9208 is 84778056

Least common multiple can be found by multiplying the highest exponent prime factors of 9207 and 9208. First we will calculate the prime factors of 9207 and 9208.

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 9208


2 9208
2 4604
2 2302
1151 1151
1

Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:

9208 = 23×11511

Now multiplying the highest exponent prime factors to calculate the LCM of 9207 and 9208.

LCM(9207,9208) = 23×33×111×311×11511
LCM(9207,9208) = 84778056

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 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1, 2, 4, 8, 1151, 2302, 4604, 9208

Least Common Multiple of 9207 and 9208 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 9208, than apply into the LCM equation.

GCF(9207,9208) = 1
LCM(9207,9208) = ( 9207 × 9208) / 1
LCM(9207,9208) = 84778056 / 1
LCM(9207,9208) = 84778056

Properties of LCM 9207 and 9208

(i) The LCM of 9208 and 9207 is associative

LCM of 9207 and 9208 = LCM of 9208 and 9207

Related Least Common Multiples of 9207

Related Least Common Multiples of 9208

Frequently Asked Questions on LCM of 9207 and 9208

1. What is the LCM of 9207 and 9208?

Answer: LCM of 9207 and 9208 is 84778056.

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 9208?

Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.

4. How to Find the LCM of 9207 and 9208?

Answer:

Least Common Multiple of 9207 and 9208 = 84778056

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 9208

9208 = 2 x 2 x 2 x 1151

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

LCM = 84778056 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 31 x 1151

Step 4: Therefore, the least common multiple of 9207 and 9208 is 84778056.