Least Common Multiple of 2410 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 2410 and 2418 the smallest integer that is 2913690 that is divisible by both numbers.

Least Common Multiple (LCM) of 2410 and 2418 is 2913690.

LCM(2410,2418) = 2913690

LCM of 2410 and 2418

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

LCM of:
and

Least Common Multiple of 2410 and 2418

LCM of 2410 and 2418 is 2913690

Least common multiple can be found by multiplying the highest exponent prime factors of 2410 and 2418. First we will calculate the prime factors of 2410 and 2418.

Prime Factorization of 2410


2 2410
5 1205
241 241
1

Prime factors of 2410 are 2, 5,241. Prime factorization of 2410 in exponential form is:

2410 = 21×51×2411

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 2410 and 2418.

LCM(2410,2418) = 21×31×51×131×311×2411
LCM(2410,2418) = 2913690

Factors of 2410

List of positive integer factors of 2410 that divides 2410 without a remainder.

1, 2, 5, 10, 241, 482, 1205, 2410

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 2410 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 2410 and 2418, than apply into the LCM equation.

GCF(2410,2418) = 2
LCM(2410,2418) = ( 2410 × 2418) / 2
LCM(2410,2418) = 5827380 / 2
LCM(2410,2418) = 2913690

Properties of LCM 2410 and 2418

(i) The LCM of 2418 and 2410 is associative

LCM of 2410 and 2418 = LCM of 2418 and 2410

Related Least Common Multiples of 2410

Related Least Common Multiples of 2418

Frequently Asked Questions on LCM of 2410 and 2418

1. What is the LCM of 2410 and 2418?

Answer: LCM of 2410 and 2418 is 2913690.

2. What are the Factors of 2410?

Answer: Factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410. There are 8 integers that are factors of 2410. The greatest factor of 2410 is 2410.

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 2410 and 2418?

Answer:

Least Common Multiple of 2410 and 2418 = 2913690

Step 1: Find the prime factorization of 2410

2410 = 2 x 5 x 241

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 = 2913690 = 2 x 3 x 5 x 13 x 31 x 241

Step 4: Therefore, the least common multiple of 2410 and 2418 is 2913690.