Least Common Multiple of 10415 and 10420

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 10420 the smallest integer that is 21704860 that is divisible by both numbers.

Least Common Multiple (LCM) of 10415 and 10420 is 21704860.

LCM(10415,10420) = 21704860

LCM of 10415 and 10420

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

LCM of:
and

Least Common Multiple of 10415 and 10420

LCM of 10415 and 10420 is 21704860

Least common multiple can be found by multiplying the highest exponent prime factors of 10415 and 10420. First we will calculate the prime factors of 10415 and 10420.

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 10420


2 10420
2 5210
5 2605
521 521
1

Prime factors of 10420 are 2, 5,521. Prime factorization of 10420 in exponential form is:

10420 = 22×51×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 10415 and 10420.

LCM(10415,10420) = 22×51×5211×20831
LCM(10415,10420) = 21704860

Factors of 10415

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

1, 5, 2083, 10415

Factors of 10420

List of positive integer factors of 10420 that divides 10420 without a remainder.

1, 2, 4, 5, 10, 20, 521, 1042, 2084, 2605, 5210, 10420

Least Common Multiple of 10415 and 10420 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 10420, than apply into the LCM equation.

GCF(10415,10420) = 5
LCM(10415,10420) = ( 10415 × 10420) / 5
LCM(10415,10420) = 108524300 / 5
LCM(10415,10420) = 21704860

Properties of LCM 10415 and 10420

(i) The LCM of 10420 and 10415 is associative

LCM of 10415 and 10420 = LCM of 10420 and 10415

Related Least Common Multiples of 10415

Related Least Common Multiples of 10420

Frequently Asked Questions on LCM of 10415 and 10420

1. What is the LCM of 10415 and 10420?

Answer: LCM of 10415 and 10420 is 21704860.

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 10420?

Answer: Factors of 10420 are 1, 2, 4, 5, 10, 20, 521, 1042, 2084, 2605, 5210, 10420. There are 12 integers that are factors of 10420. The greatest factor of 10420 is 10420.

4. How to Find the LCM of 10415 and 10420?

Answer:

Least Common Multiple of 10415 and 10420 = 21704860

Step 1: Find the prime factorization of 10415

10415 = 5 x 2083

Step 2: Find the prime factorization of 10420

10420 = 2 x 2 x 5 x 521

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

LCM = 21704860 = 2 x 2 x 5 x 521 x 2083

Step 4: Therefore, the least common multiple of 10415 and 10420 is 21704860.