Least Common Multiple of 9119 and 9123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9119 and 9123 the smallest integer that is 83192637 that is divisible by both numbers.

Least Common Multiple (LCM) of 9119 and 9123 is 83192637.

LCM(9119,9123) = 83192637

LCM of 9119 and 9123

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

LCM of:
and

Least Common Multiple of 9119 and 9123

LCM of 9119 and 9123 is 83192637

Least common multiple can be found by multiplying the highest exponent prime factors of 9119 and 9123. First we will calculate the prime factors of 9119 and 9123.

Prime Factorization of 9119


11 9119
829 829
1

Prime factors of 9119 are 11,829. Prime factorization of 9119 in exponential form is:

9119 = 111×8291

Prime Factorization of 9123


3 9123
3041 3041
1

Prime factors of 9123 are 3,3041. Prime factorization of 9123 in exponential form is:

9123 = 31×30411

Now multiplying the highest exponent prime factors to calculate the LCM of 9119 and 9123.

LCM(9119,9123) = 31×111×8291×30411
LCM(9119,9123) = 83192637

Factors of 9119

List of positive integer factors of 9119 that divides 9119 without a remainder.

1, 11, 829, 9119

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1, 3, 3041, 9123

Least Common Multiple of 9119 and 9123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9119 and 9123, than apply into the LCM equation.

GCF(9119,9123) = 1
LCM(9119,9123) = ( 9119 × 9123) / 1
LCM(9119,9123) = 83192637 / 1
LCM(9119,9123) = 83192637

Properties of LCM 9119 and 9123

(i) The LCM of 9123 and 9119 is associative

LCM of 9119 and 9123 = LCM of 9123 and 9119

Related Least Common Multiples of 9119

Related Least Common Multiples of 9123

Frequently Asked Questions on LCM of 9119 and 9123

1. What is the LCM of 9119 and 9123?

Answer: LCM of 9119 and 9123 is 83192637.

2. What are the Factors of 9119?

Answer: Factors of 9119 are 1, 11, 829, 9119. There are 4 integers that are factors of 9119. The greatest factor of 9119 is 9119.

3. What are the Factors of 9123?

Answer: Factors of 9123 are 1, 3, 3041, 9123. There are 4 integers that are factors of 9123. The greatest factor of 9123 is 9123.

4. How to Find the LCM of 9119 and 9123?

Answer:

Least Common Multiple of 9119 and 9123 = 83192637

Step 1: Find the prime factorization of 9119

9119 = 11 x 829

Step 2: Find the prime factorization of 9123

9123 = 3 x 3041

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

LCM = 83192637 = 3 x 11 x 829 x 3041

Step 4: Therefore, the least common multiple of 9119 and 9123 is 83192637.