Least Common Multiple of 2412 and 2414

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 2414 the smallest integer that is 2911284 that is divisible by both numbers.

Least Common Multiple (LCM) of 2412 and 2414 is 2911284.

LCM(2412,2414) = 2911284

LCM of 2412 and 2414

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

LCM of:
and

Least Common Multiple of 2412 and 2414

LCM of 2412 and 2414 is 2911284

Least common multiple can be found by multiplying the highest exponent prime factors of 2412 and 2414. First we will calculate the prime factors of 2412 and 2414.

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 2414


2 2414
17 1207
71 71
1

Prime factors of 2414 are 2, 17,71. Prime factorization of 2414 in exponential form is:

2414 = 21×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2412 and 2414.

LCM(2412,2414) = 22×32×171×671×711
LCM(2412,2414) = 2911284

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 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1, 2, 17, 34, 71, 142, 1207, 2414

Least Common Multiple of 2412 and 2414 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 2414, than apply into the LCM equation.

GCF(2412,2414) = 2
LCM(2412,2414) = ( 2412 × 2414) / 2
LCM(2412,2414) = 5822568 / 2
LCM(2412,2414) = 2911284

Properties of LCM 2412 and 2414

(i) The LCM of 2414 and 2412 is associative

LCM of 2412 and 2414 = LCM of 2414 and 2412

Related Least Common Multiples of 2412

Related Least Common Multiples of 2414

Frequently Asked Questions on LCM of 2412 and 2414

1. What is the LCM of 2412 and 2414?

Answer: LCM of 2412 and 2414 is 2911284.

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 2414?

Answer: Factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414. There are 8 integers that are factors of 2414. The greatest factor of 2414 is 2414.

4. How to Find the LCM of 2412 and 2414?

Answer:

Least Common Multiple of 2412 and 2414 = 2911284

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 2414

2414 = 2 x 17 x 71

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

LCM = 2911284 = 2 x 2 x 3 x 3 x 17 x 67 x 71

Step 4: Therefore, the least common multiple of 2412 and 2414 is 2911284.