Least Common Multiple of 10415 and 10423

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 10423 the smallest integer that is 108555545 that is divisible by both numbers.

Least Common Multiple (LCM) of 10415 and 10423 is 108555545.

LCM(10415,10423) = 108555545

LCM of 10415 and 10423

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

LCM of:
and

Least Common Multiple of 10415 and 10423

LCM of 10415 and 10423 is 108555545

Least common multiple can be found by multiplying the highest exponent prime factors of 10415 and 10423. First we will calculate the prime factors of 10415 and 10423.

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 10423


7 10423
1489 1489
1

Prime factors of 10423 are 7,1489. Prime factorization of 10423 in exponential form is:

10423 = 71×14891

Now multiplying the highest exponent prime factors to calculate the LCM of 10415 and 10423.

LCM(10415,10423) = 51×71×14891×20831
LCM(10415,10423) = 108555545

Factors of 10415

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

1, 5, 2083, 10415

Factors of 10423

List of positive integer factors of 10423 that divides 10423 without a remainder.

1, 7, 1489, 10423

Least Common Multiple of 10415 and 10423 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 10423, than apply into the LCM equation.

GCF(10415,10423) = 1
LCM(10415,10423) = ( 10415 × 10423) / 1
LCM(10415,10423) = 108555545 / 1
LCM(10415,10423) = 108555545

Properties of LCM 10415 and 10423

(i) The LCM of 10423 and 10415 is associative

LCM of 10415 and 10423 = LCM of 10423 and 10415

Related Least Common Multiples of 10415

Related Least Common Multiples of 10423

Frequently Asked Questions on LCM of 10415 and 10423

1. What is the LCM of 10415 and 10423?

Answer: LCM of 10415 and 10423 is 108555545.

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 10423?

Answer: Factors of 10423 are 1, 7, 1489, 10423. There are 4 integers that are factors of 10423. The greatest factor of 10423 is 10423.

4. How to Find the LCM of 10415 and 10423?

Answer:

Least Common Multiple of 10415 and 10423 = 108555545

Step 1: Find the prime factorization of 10415

10415 = 5 x 2083

Step 2: Find the prime factorization of 10423

10423 = 7 x 1489

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

LCM = 108555545 = 5 x 7 x 1489 x 2083

Step 4: Therefore, the least common multiple of 10415 and 10423 is 108555545.