Least Common Multiple of 2418 and 2426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2418 and 2426 the smallest integer that is 2933034 that is divisible by both numbers.

Least Common Multiple (LCM) of 2418 and 2426 is 2933034.

LCM(2418,2426) = 2933034

LCM of 2418 and 2426

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

LCM of:
and

Least Common Multiple of 2418 and 2426

LCM of 2418 and 2426 is 2933034

Least common multiple can be found by multiplying the highest exponent prime factors of 2418 and 2426. First we will calculate the prime factors of 2418 and 2426.

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

Prime Factorization of 2426


2 2426
1213 1213
1

Prime factors of 2426 are 2,1213. Prime factorization of 2426 in exponential form is:

2426 = 21×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 2418 and 2426.

LCM(2418,2426) = 21×31×131×311×12131
LCM(2418,2426) = 2933034

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

Factors of 2426

List of positive integer factors of 2426 that divides 2426 without a remainder.

1, 2, 1213, 2426

Least Common Multiple of 2418 and 2426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2418 and 2426, than apply into the LCM equation.

GCF(2418,2426) = 2
LCM(2418,2426) = ( 2418 × 2426) / 2
LCM(2418,2426) = 5866068 / 2
LCM(2418,2426) = 2933034

Properties of LCM 2418 and 2426

(i) The LCM of 2426 and 2418 is associative

LCM of 2418 and 2426 = LCM of 2426 and 2418

Related Least Common Multiples of 2418

Related Least Common Multiples of 2426

Frequently Asked Questions on LCM of 2418 and 2426

1. What is the LCM of 2418 and 2426?

Answer: LCM of 2418 and 2426 is 2933034.

2. 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.

3. What are the Factors of 2426?

Answer: Factors of 2426 are 1, 2, 1213, 2426. There are 4 integers that are factors of 2426. The greatest factor of 2426 is 2426.

4. How to Find the LCM of 2418 and 2426?

Answer:

Least Common Multiple of 2418 and 2426 = 2933034

Step 1: Find the prime factorization of 2418

2418 = 2 x 3 x 13 x 31

Step 2: Find the prime factorization of 2426

2426 = 2 x 1213

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

LCM = 2933034 = 2 x 3 x 13 x 31 x 1213

Step 4: Therefore, the least common multiple of 2418 and 2426 is 2933034.