Least Common Multiple of 10410 and 10415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10410 and 10415 the smallest integer that is 21684030 that is divisible by both numbers.

Least Common Multiple (LCM) of 10410 and 10415 is 21684030.

LCM(10410,10415) = 21684030

LCM of 10410 and 10415

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

LCM of:
and

Least Common Multiple of 10410 and 10415

LCM of 10410 and 10415 is 21684030

Least common multiple can be found by multiplying the highest exponent prime factors of 10410 and 10415. First we will calculate the prime factors of 10410 and 10415.

Prime Factorization of 10410


2 10410
3 5205
5 1735
347 347
1

Prime factors of 10410 are 2, 3, 5,347. Prime factorization of 10410 in exponential form is:

10410 = 21×31×51×3471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10410 and 10415.

LCM(10410,10415) = 21×31×51×3471×20831
LCM(10410,10415) = 21684030

Factors of 10410

List of positive integer factors of 10410 that divides 10410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410

Factors of 10415

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

1, 5, 2083, 10415

Least Common Multiple of 10410 and 10415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10410 and 10415, than apply into the LCM equation.

GCF(10410,10415) = 5
LCM(10410,10415) = ( 10410 × 10415) / 5
LCM(10410,10415) = 108420150 / 5
LCM(10410,10415) = 21684030

Properties of LCM 10410 and 10415

(i) The LCM of 10415 and 10410 is associative

LCM of 10410 and 10415 = LCM of 10415 and 10410

Related Least Common Multiples of 10410

Related Least Common Multiples of 10415

Frequently Asked Questions on LCM of 10410 and 10415

1. What is the LCM of 10410 and 10415?

Answer: LCM of 10410 and 10415 is 21684030.

2. What are the Factors of 10410?

Answer: Factors of 10410 are 1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410. There are 16 integers that are factors of 10410. The greatest factor of 10410 is 10410.

3. 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.

4. How to Find the LCM of 10410 and 10415?

Answer:

Least Common Multiple of 10410 and 10415 = 21684030

Step 1: Find the prime factorization of 10410

10410 = 2 x 3 x 5 x 347

Step 2: Find the prime factorization of 10415

10415 = 5 x 2083

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

LCM = 21684030 = 2 x 3 x 5 x 347 x 2083

Step 4: Therefore, the least common multiple of 10410 and 10415 is 21684030.