Least Common Multiple of 9208 and 9213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9208 and 9213 the smallest integer that is 84833304 that is divisible by both numbers.

Least Common Multiple (LCM) of 9208 and 9213 is 84833304.

LCM(9208,9213) = 84833304

LCM of 9208 and 9213

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

LCM of:
and

Least Common Multiple of 9208 and 9213

LCM of 9208 and 9213 is 84833304

Least common multiple can be found by multiplying the highest exponent prime factors of 9208 and 9213. First we will calculate the prime factors of 9208 and 9213.

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

Prime Factorization of 9213


3 9213
37 3071
83 83
1

Prime factors of 9213 are 3, 37,83. Prime factorization of 9213 in exponential form is:

9213 = 31×371×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9208 and 9213.

LCM(9208,9213) = 23×31×371×831×11511
LCM(9208,9213) = 84833304

Factors of 9208

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

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

Factors of 9213

List of positive integer factors of 9213 that divides 9213 without a remainder.

1, 3, 37, 83, 111, 249, 3071, 9213

Least Common Multiple of 9208 and 9213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9208 and 9213, than apply into the LCM equation.

GCF(9208,9213) = 1
LCM(9208,9213) = ( 9208 × 9213) / 1
LCM(9208,9213) = 84833304 / 1
LCM(9208,9213) = 84833304

Properties of LCM 9208 and 9213

(i) The LCM of 9213 and 9208 is associative

LCM of 9208 and 9213 = LCM of 9213 and 9208

Related Least Common Multiples of 9208

Related Least Common Multiples of 9213

Frequently Asked Questions on LCM of 9208 and 9213

1. What is the LCM of 9208 and 9213?

Answer: LCM of 9208 and 9213 is 84833304.

2. 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.

3. What are the Factors of 9213?

Answer: Factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213. There are 8 integers that are factors of 9213. The greatest factor of 9213 is 9213.

4. How to Find the LCM of 9208 and 9213?

Answer:

Least Common Multiple of 9208 and 9213 = 84833304

Step 1: Find the prime factorization of 9208

9208 = 2 x 2 x 2 x 1151

Step 2: Find the prime factorization of 9213

9213 = 3 x 37 x 83

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

LCM = 84833304 = 2 x 2 x 2 x 3 x 37 x 83 x 1151

Step 4: Therefore, the least common multiple of 9208 and 9213 is 84833304.