Least Common Multiple of 2415 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 2415 and 2418 the smallest integer that is 1946490 that is divisible by both numbers.

Least Common Multiple (LCM) of 2415 and 2418 is 1946490.

LCM(2415,2418) = 1946490

LCM of 2415 and 2418

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

LCM of:
and

Least Common Multiple of 2415 and 2418

LCM of 2415 and 2418 is 1946490

Least common multiple can be found by multiplying the highest exponent prime factors of 2415 and 2418. First we will calculate the prime factors of 2415 and 2418.

Prime Factorization of 2415


3 2415
5 805
7 161
23 23
1

Prime factors of 2415 are 3, 5, 7,23. Prime factorization of 2415 in exponential form is:

2415 = 31×51×71×231

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 2415 and 2418.

LCM(2415,2418) = 21×31×51×71×131×231×311
LCM(2415,2418) = 1946490

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415

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 2415 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 2415 and 2418, than apply into the LCM equation.

GCF(2415,2418) = 3
LCM(2415,2418) = ( 2415 × 2418) / 3
LCM(2415,2418) = 5839470 / 3
LCM(2415,2418) = 1946490

Properties of LCM 2415 and 2418

(i) The LCM of 2418 and 2415 is associative

LCM of 2415 and 2418 = LCM of 2418 and 2415

Related Least Common Multiples of 2415

Related Least Common Multiples of 2418

Frequently Asked Questions on LCM of 2415 and 2418

1. What is the LCM of 2415 and 2418?

Answer: LCM of 2415 and 2418 is 1946490.

2. What are the Factors of 2415?

Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.

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 2415 and 2418?

Answer:

Least Common Multiple of 2415 and 2418 = 1946490

Step 1: Find the prime factorization of 2415

2415 = 3 x 5 x 7 x 23

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 = 1946490 = 2 x 3 x 5 x 7 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 2415 and 2418 is 1946490.