Least Common Multiple of 9119 and 9124

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 9124 the smallest integer that is 83201756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9119 and 9124 is 83201756.

LCM(9119,9124) = 83201756

LCM of 9119 and 9124

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

LCM of:
and

Least Common Multiple of 9119 and 9124

LCM of 9119 and 9124 is 83201756

Least common multiple can be found by multiplying the highest exponent prime factors of 9119 and 9124. First we will calculate the prime factors of 9119 and 9124.

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 9124


2 9124
2 4562
2281 2281
1

Prime factors of 9124 are 2,2281. Prime factorization of 9124 in exponential form is:

9124 = 22×22811

Now multiplying the highest exponent prime factors to calculate the LCM of 9119 and 9124.

LCM(9119,9124) = 22×111×8291×22811
LCM(9119,9124) = 83201756

Factors of 9119

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

1, 11, 829, 9119

Factors of 9124

List of positive integer factors of 9124 that divides 9124 without a remainder.

1, 2, 4, 2281, 4562, 9124

Least Common Multiple of 9119 and 9124 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 9124, than apply into the LCM equation.

GCF(9119,9124) = 1
LCM(9119,9124) = ( 9119 × 9124) / 1
LCM(9119,9124) = 83201756 / 1
LCM(9119,9124) = 83201756

Properties of LCM 9119 and 9124

(i) The LCM of 9124 and 9119 is associative

LCM of 9119 and 9124 = LCM of 9124 and 9119

Related Least Common Multiples of 9119

Related Least Common Multiples of 9124

Frequently Asked Questions on LCM of 9119 and 9124

1. What is the LCM of 9119 and 9124?

Answer: LCM of 9119 and 9124 is 83201756.

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 9124?

Answer: Factors of 9124 are 1, 2, 4, 2281, 4562, 9124. There are 6 integers that are factors of 9124. The greatest factor of 9124 is 9124.

4. How to Find the LCM of 9119 and 9124?

Answer:

Least Common Multiple of 9119 and 9124 = 83201756

Step 1: Find the prime factorization of 9119

9119 = 11 x 829

Step 2: Find the prime factorization of 9124

9124 = 2 x 2 x 2281

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

LCM = 83201756 = 2 x 2 x 11 x 829 x 2281

Step 4: Therefore, the least common multiple of 9119 and 9124 is 83201756.