Least Common Multiple of 9195 and 9203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9195 and 9203 the smallest integer that is 84621585 that is divisible by both numbers.

Least Common Multiple (LCM) of 9195 and 9203 is 84621585.

LCM(9195,9203) = 84621585

LCM of 9195 and 9203

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

LCM of:
and

Least Common Multiple of 9195 and 9203

LCM of 9195 and 9203 is 84621585

Least common multiple can be found by multiplying the highest exponent prime factors of 9195 and 9203. First we will calculate the prime factors of 9195 and 9203.

Prime Factorization of 9195


3 9195
5 3065
613 613
1

Prime factors of 9195 are 3, 5,613. Prime factorization of 9195 in exponential form is:

9195 = 31×51×6131

Prime Factorization of 9203


9203 9203
1

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

9203 = 92031

Now multiplying the highest exponent prime factors to calculate the LCM of 9195 and 9203.

LCM(9195,9203) = 31×51×6131×92031
LCM(9195,9203) = 84621585

Factors of 9195

List of positive integer factors of 9195 that divides 9195 without a remainder.

1, 3, 5, 15, 613, 1839, 3065, 9195

Factors of 9203

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

1, 9203

Least Common Multiple of 9195 and 9203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9195 and 9203, than apply into the LCM equation.

GCF(9195,9203) = 1
LCM(9195,9203) = ( 9195 × 9203) / 1
LCM(9195,9203) = 84621585 / 1
LCM(9195,9203) = 84621585

Properties of LCM 9195 and 9203

(i) The LCM of 9203 and 9195 is associative

LCM of 9195 and 9203 = LCM of 9203 and 9195

Related Least Common Multiples of 9195

Related Least Common Multiples of 9203

Frequently Asked Questions on LCM of 9195 and 9203

1. What is the LCM of 9195 and 9203?

Answer: LCM of 9195 and 9203 is 84621585.

2. What are the Factors of 9195?

Answer: Factors of 9195 are 1, 3, 5, 15, 613, 1839, 3065, 9195. There are 8 integers that are factors of 9195. The greatest factor of 9195 is 9195.

3. 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.

4. How to Find the LCM of 9195 and 9203?

Answer:

Least Common Multiple of 9195 and 9203 = 84621585

Step 1: Find the prime factorization of 9195

9195 = 3 x 5 x 613

Step 2: Find the prime factorization of 9203

9203 = 9203

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

LCM = 84621585 = 3 x 5 x 613 x 9203

Step 4: Therefore, the least common multiple of 9195 and 9203 is 84621585.