Least Common Multiple of 22419 and 22423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 22419 and 22423 the smallest integer that is 502701237 that is divisible by both numbers.

Least Common Multiple (LCM) of 22419 and 22423 is 502701237.

LCM(22419,22423) = 502701237

LCM of 22419 and 22423

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

LCM of:
and

Least Common Multiple of 22419 and 22423

LCM of 22419 and 22423 is 502701237

Least common multiple can be found by multiplying the highest exponent prime factors of 22419 and 22423. First we will calculate the prime factors of 22419 and 22423.

Prime Factorization of 22419


3 22419
3 7473
47 2491
53 53
1

Prime factors of 22419 are 3, 47,53. Prime factorization of 22419 in exponential form is:

22419 = 32×471×531

Prime Factorization of 22423


17 22423
1319 1319
1

Prime factors of 22423 are 17,1319. Prime factorization of 22423 in exponential form is:

22423 = 171×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 22419 and 22423.

LCM(22419,22423) = 32×171×471×531×13191
LCM(22419,22423) = 502701237

Factors of 22419

List of positive integer factors of 22419 that divides 22419 without a remainder.

1, 3, 9, 47, 53, 141, 159, 423, 477, 2491, 7473, 22419

Factors of 22423

List of positive integer factors of 22423 that divides 22423 without a remainder.

1, 17, 1319, 22423

Least Common Multiple of 22419 and 22423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22419 and 22423, than apply into the LCM equation.

GCF(22419,22423) = 1
LCM(22419,22423) = ( 22419 × 22423) / 1
LCM(22419,22423) = 502701237 / 1
LCM(22419,22423) = 502701237

Properties of LCM 22419 and 22423

(i) The LCM of 22423 and 22419 is associative

LCM of 22419 and 22423 = LCM of 22423 and 22419

Related Least Common Multiples of 22419

Related Least Common Multiples of 22423

Frequently Asked Questions on LCM of 22419 and 22423

1. What is the LCM of 22419 and 22423?

Answer: LCM of 22419 and 22423 is 502701237.

2. What are the Factors of 22419?

Answer: Factors of 22419 are 1, 3, 9, 47, 53, 141, 159, 423, 477, 2491, 7473, 22419. There are 12 integers that are factors of 22419. The greatest factor of 22419 is 22419.

3. What are the Factors of 22423?

Answer: Factors of 22423 are 1, 17, 1319, 22423. There are 4 integers that are factors of 22423. The greatest factor of 22423 is 22423.

4. How to Find the LCM of 22419 and 22423?

Answer:

Least Common Multiple of 22419 and 22423 = 502701237

Step 1: Find the prime factorization of 22419

22419 = 3 x 3 x 47 x 53

Step 2: Find the prime factorization of 22423

22423 = 17 x 1319

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

LCM = 502701237 = 3 x 3 x 17 x 47 x 53 x 1319

Step 4: Therefore, the least common multiple of 22419 and 22423 is 502701237.