Least Common Multiple of 2412 and 2419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2412 and 2419 the smallest integer that is 5834628 that is divisible by both numbers.

Least Common Multiple (LCM) of 2412 and 2419 is 5834628.

LCM(2412,2419) = 5834628

LCM of 2412 and 2419

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

LCM of:
and

Least Common Multiple of 2412 and 2419

LCM of 2412 and 2419 is 5834628

Least common multiple can be found by multiplying the highest exponent prime factors of 2412 and 2419. First we will calculate the prime factors of 2412 and 2419.

Prime Factorization of 2412


2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 2412 are 2, 3,67. Prime factorization of 2412 in exponential form is:

2412 = 22×32×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2412 and 2419.

LCM(2412,2419) = 22×32×411×591×671
LCM(2412,2419) = 5834628

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412

Factors of 2419

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

1, 41, 59, 2419

Least Common Multiple of 2412 and 2419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2412 and 2419, than apply into the LCM equation.

GCF(2412,2419) = 1
LCM(2412,2419) = ( 2412 × 2419) / 1
LCM(2412,2419) = 5834628 / 1
LCM(2412,2419) = 5834628

Properties of LCM 2412 and 2419

(i) The LCM of 2419 and 2412 is associative

LCM of 2412 and 2419 = LCM of 2419 and 2412

Related Least Common Multiples of 2412

Related Least Common Multiples of 2419

Frequently Asked Questions on LCM of 2412 and 2419

1. What is the LCM of 2412 and 2419?

Answer: LCM of 2412 and 2419 is 5834628.

2. What are the Factors of 2412?

Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.

3. 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.

4. How to Find the LCM of 2412 and 2419?

Answer:

Least Common Multiple of 2412 and 2419 = 5834628

Step 1: Find the prime factorization of 2412

2412 = 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 2419

2419 = 41 x 59

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

LCM = 5834628 = 2 x 2 x 3 x 3 x 41 x 59 x 67

Step 4: Therefore, the least common multiple of 2412 and 2419 is 5834628.