Least Common Multiple of 10415 and 10421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10415 and 10421 the smallest integer that is 108534715 that is divisible by both numbers.

Least Common Multiple (LCM) of 10415 and 10421 is 108534715.

LCM(10415,10421) = 108534715

LCM of 10415 and 10421

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

LCM of:
and

Least Common Multiple of 10415 and 10421

LCM of 10415 and 10421 is 108534715

Least common multiple can be found by multiplying the highest exponent prime factors of 10415 and 10421. First we will calculate the prime factors of 10415 and 10421.

Prime Factorization of 10415


5 10415
2083 2083
1

Prime factors of 10415 are 5,2083. Prime factorization of 10415 in exponential form is:

10415 = 51×20831

Prime Factorization of 10421


17 10421
613 613
1

Prime factors of 10421 are 17,613. Prime factorization of 10421 in exponential form is:

10421 = 171×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 10415 and 10421.

LCM(10415,10421) = 51×171×6131×20831
LCM(10415,10421) = 108534715

Factors of 10415

List of positive integer factors of 10415 that divides 10415 without a remainder.

1, 5, 2083, 10415

Factors of 10421

List of positive integer factors of 10421 that divides 10421 without a remainder.

1, 17, 613, 10421

Least Common Multiple of 10415 and 10421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10415 and 10421, than apply into the LCM equation.

GCF(10415,10421) = 1
LCM(10415,10421) = ( 10415 × 10421) / 1
LCM(10415,10421) = 108534715 / 1
LCM(10415,10421) = 108534715

Properties of LCM 10415 and 10421

(i) The LCM of 10421 and 10415 is associative

LCM of 10415 and 10421 = LCM of 10421 and 10415

Related Least Common Multiples of 10415

Related Least Common Multiples of 10421

Frequently Asked Questions on LCM of 10415 and 10421

1. What is the LCM of 10415 and 10421?

Answer: LCM of 10415 and 10421 is 108534715.

2. What are the Factors of 10415?

Answer: Factors of 10415 are 1, 5, 2083, 10415. There are 4 integers that are factors of 10415. The greatest factor of 10415 is 10415.

3. What are the Factors of 10421?

Answer: Factors of 10421 are 1, 17, 613, 10421. There are 4 integers that are factors of 10421. The greatest factor of 10421 is 10421.

4. How to Find the LCM of 10415 and 10421?

Answer:

Least Common Multiple of 10415 and 10421 = 108534715

Step 1: Find the prime factorization of 10415

10415 = 5 x 2083

Step 2: Find the prime factorization of 10421

10421 = 17 x 613

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

LCM = 108534715 = 5 x 17 x 613 x 2083

Step 4: Therefore, the least common multiple of 10415 and 10421 is 108534715.