Least Common Multiple of 2412 and 2418

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 2418 the smallest integer that is 972036 that is divisible by both numbers.

Least Common Multiple (LCM) of 2412 and 2418 is 972036.

LCM(2412,2418) = 972036

LCM of 2412 and 2418

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

LCM of:
and

Least Common Multiple of 2412 and 2418

LCM of 2412 and 2418 is 972036

Least common multiple can be found by multiplying the highest exponent prime factors of 2412 and 2418. First we will calculate the prime factors of 2412 and 2418.

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 2418


2 2418
3 1209
13 403
31 31
1

Prime factors of 2418 are 2, 3, 13,31. Prime factorization of 2418 in exponential form is:

2418 = 21×31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2412 and 2418.

LCM(2412,2418) = 22×32×131×311×671
LCM(2412,2418) = 972036

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 2418

List of positive integer factors of 2418 that divides 2418 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418

Least Common Multiple of 2412 and 2418 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 2418, than apply into the LCM equation.

GCF(2412,2418) = 6
LCM(2412,2418) = ( 2412 × 2418) / 6
LCM(2412,2418) = 5832216 / 6
LCM(2412,2418) = 972036

Properties of LCM 2412 and 2418

(i) The LCM of 2418 and 2412 is associative

LCM of 2412 and 2418 = LCM of 2418 and 2412

Related Least Common Multiples of 2412

Related Least Common Multiples of 2418

Frequently Asked Questions on LCM of 2412 and 2418

1. What is the LCM of 2412 and 2418?

Answer: LCM of 2412 and 2418 is 972036.

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 2418?

Answer: Factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418. There are 16 integers that are factors of 2418. The greatest factor of 2418 is 2418.

4. How to Find the LCM of 2412 and 2418?

Answer:

Least Common Multiple of 2412 and 2418 = 972036

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 2418

2418 = 2 x 3 x 13 x 31

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

LCM = 972036 = 2 x 2 x 3 x 3 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 2412 and 2418 is 972036.