Least Common Multiple of 2419 and 2423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2419 and 2423 the smallest integer that is 5861237 that is divisible by both numbers.

Least Common Multiple (LCM) of 2419 and 2423 is 5861237.

LCM(2419,2423) = 5861237

LCM of 2419 and 2423

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

LCM of:
and

Least Common Multiple of 2419 and 2423

LCM of 2419 and 2423 is 5861237

Least common multiple can be found by multiplying the highest exponent prime factors of 2419 and 2423. First we will calculate the prime factors of 2419 and 2423.

Prime Factorization of 2419


41 2419
59 59
1

Prime factors of 2419 are 41,59. Prime factorization of 2419 in exponential form is:

2419 = 411×591

Prime Factorization of 2423


2423 2423
1

Prime factors of 2423 are 2423. Prime factorization of 2423 in exponential form is:

2423 = 24231

Now multiplying the highest exponent prime factors to calculate the LCM of 2419 and 2423.

LCM(2419,2423) = 411×591×24231
LCM(2419,2423) = 5861237

Factors of 2419

List of positive integer factors of 2419 that divides 2419 without a remainder.

1, 41, 59, 2419

Factors of 2423

List of positive integer factors of 2423 that divides 2423 without a remainder.

1, 2423

Least Common Multiple of 2419 and 2423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2419 and 2423, than apply into the LCM equation.

GCF(2419,2423) = 1
LCM(2419,2423) = ( 2419 × 2423) / 1
LCM(2419,2423) = 5861237 / 1
LCM(2419,2423) = 5861237

Properties of LCM 2419 and 2423

(i) The LCM of 2423 and 2419 is associative

LCM of 2419 and 2423 = LCM of 2423 and 2419

Related Least Common Multiples of 2419

Related Least Common Multiples of 2423

Frequently Asked Questions on LCM of 2419 and 2423

1. What is the LCM of 2419 and 2423?

Answer: LCM of 2419 and 2423 is 5861237.

2. What are the Factors of 2419?

Answer: Factors of 2419 are 1, 41, 59, 2419. There are 4 integers that are factors of 2419. The greatest factor of 2419 is 2419.

3. What are the Factors of 2423?

Answer: Factors of 2423 are 1, 2423. There are 2 integers that are factors of 2423. The greatest factor of 2423 is 2423.

4. How to Find the LCM of 2419 and 2423?

Answer:

Least Common Multiple of 2419 and 2423 = 5861237

Step 1: Find the prime factorization of 2419

2419 = 41 x 59

Step 2: Find the prime factorization of 2423

2423 = 2423

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

LCM = 5861237 = 41 x 59 x 2423

Step 4: Therefore, the least common multiple of 2419 and 2423 is 5861237.