Least Common Multiple of 9203 and 9207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9203 and 9207 the smallest integer that is 84732021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9203 and 9207 is 84732021.

LCM(9203,9207) = 84732021

LCM of 9203 and 9207

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

LCM of:
and

Least Common Multiple of 9203 and 9207

LCM of 9203 and 9207 is 84732021

Least common multiple can be found by multiplying the highest exponent prime factors of 9203 and 9207. First we will calculate the prime factors of 9203 and 9207.

Prime Factorization of 9203


9203 9203
1

Prime factors of 9203 are 9203. Prime factorization of 9203 in exponential form is:

9203 = 92031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9203 and 9207.

LCM(9203,9207) = 33×111×311×92031
LCM(9203,9207) = 84732021

Factors of 9203

List of positive integer factors of 9203 that divides 9203 without a remainder.

1, 9203

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

Least Common Multiple of 9203 and 9207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9203 and 9207, than apply into the LCM equation.

GCF(9203,9207) = 1
LCM(9203,9207) = ( 9203 × 9207) / 1
LCM(9203,9207) = 84732021 / 1
LCM(9203,9207) = 84732021

Properties of LCM 9203 and 9207

(i) The LCM of 9207 and 9203 is associative

LCM of 9203 and 9207 = LCM of 9207 and 9203

Related Least Common Multiples of 9203

Related Least Common Multiples of 9207

Frequently Asked Questions on LCM of 9203 and 9207

1. What is the LCM of 9203 and 9207?

Answer: LCM of 9203 and 9207 is 84732021.

2. What are the Factors of 9203?

Answer: Factors of 9203 are 1, 9203. There are 2 integers that are factors of 9203. The greatest factor of 9203 is 9203.

3. 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.

4. How to Find the LCM of 9203 and 9207?

Answer:

Least Common Multiple of 9203 and 9207 = 84732021

Step 1: Find the prime factorization of 9203

9203 = 9203

Step 2: Find the prime factorization of 9207

9207 = 3 x 3 x 3 x 11 x 31

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

LCM = 84732021 = 3 x 3 x 3 x 11 x 31 x 9203

Step 4: Therefore, the least common multiple of 9203 and 9207 is 84732021.