Least Common Multiple of 2415 and 2421

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 2421 the smallest integer that is 1948905 that is divisible by both numbers.

Least Common Multiple (LCM) of 2415 and 2421 is 1948905.

LCM(2415,2421) = 1948905

LCM of 2415 and 2421

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

LCM of:
and

Least Common Multiple of 2415 and 2421

LCM of 2415 and 2421 is 1948905

Least common multiple can be found by multiplying the highest exponent prime factors of 2415 and 2421. First we will calculate the prime factors of 2415 and 2421.

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 2421


3 2421
3 807
269 269
1

Prime factors of 2421 are 3,269. Prime factorization of 2421 in exponential form is:

2421 = 32×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2415 and 2421.

LCM(2415,2421) = 32×51×71×231×2691
LCM(2415,2421) = 1948905

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 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1, 3, 9, 269, 807, 2421

Least Common Multiple of 2415 and 2421 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 2421, than apply into the LCM equation.

GCF(2415,2421) = 3
LCM(2415,2421) = ( 2415 × 2421) / 3
LCM(2415,2421) = 5846715 / 3
LCM(2415,2421) = 1948905

Properties of LCM 2415 and 2421

(i) The LCM of 2421 and 2415 is associative

LCM of 2415 and 2421 = LCM of 2421 and 2415

Related Least Common Multiples of 2415

Related Least Common Multiples of 2421

Frequently Asked Questions on LCM of 2415 and 2421

1. What is the LCM of 2415 and 2421?

Answer: LCM of 2415 and 2421 is 1948905.

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 2421?

Answer: Factors of 2421 are 1, 3, 9, 269, 807, 2421. There are 6 integers that are factors of 2421. The greatest factor of 2421 is 2421.

4. How to Find the LCM of 2415 and 2421?

Answer:

Least Common Multiple of 2415 and 2421 = 1948905

Step 1: Find the prime factorization of 2415

2415 = 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 2421

2421 = 3 x 3 x 269

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

LCM = 1948905 = 3 x 3 x 5 x 7 x 23 x 269

Step 4: Therefore, the least common multiple of 2415 and 2421 is 1948905.