Least Common Multiple of 10409 and 10413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10409 and 10413 the smallest integer that is 108388917 that is divisible by both numbers.

Least Common Multiple (LCM) of 10409 and 10413 is 108388917.

LCM(10409,10413) = 108388917

LCM of 10409 and 10413

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

LCM of:
and

Least Common Multiple of 10409 and 10413

LCM of 10409 and 10413 is 108388917

Least common multiple can be found by multiplying the highest exponent prime factors of 10409 and 10413. First we will calculate the prime factors of 10409 and 10413.

Prime Factorization of 10409


7 10409
1487 1487
1

Prime factors of 10409 are 7,1487. Prime factorization of 10409 in exponential form is:

10409 = 71×14871

Prime Factorization of 10413


3 10413
3 3471
13 1157
89 89
1

Prime factors of 10413 are 3, 13,89. Prime factorization of 10413 in exponential form is:

10413 = 32×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 10409 and 10413.

LCM(10409,10413) = 32×71×131×891×14871
LCM(10409,10413) = 108388917

Factors of 10409

List of positive integer factors of 10409 that divides 10409 without a remainder.

1, 7, 1487, 10409

Factors of 10413

List of positive integer factors of 10413 that divides 10413 without a remainder.

1, 3, 9, 13, 39, 89, 117, 267, 801, 1157, 3471, 10413

Least Common Multiple of 10409 and 10413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10409 and 10413, than apply into the LCM equation.

GCF(10409,10413) = 1
LCM(10409,10413) = ( 10409 × 10413) / 1
LCM(10409,10413) = 108388917 / 1
LCM(10409,10413) = 108388917

Properties of LCM 10409 and 10413

(i) The LCM of 10413 and 10409 is associative

LCM of 10409 and 10413 = LCM of 10413 and 10409

Related Least Common Multiples of 10409

Related Least Common Multiples of 10413

Frequently Asked Questions on LCM of 10409 and 10413

1. What is the LCM of 10409 and 10413?

Answer: LCM of 10409 and 10413 is 108388917.

2. What are the Factors of 10409?

Answer: Factors of 10409 are 1, 7, 1487, 10409. There are 4 integers that are factors of 10409. The greatest factor of 10409 is 10409.

3. What are the Factors of 10413?

Answer: Factors of 10413 are 1, 3, 9, 13, 39, 89, 117, 267, 801, 1157, 3471, 10413. There are 12 integers that are factors of 10413. The greatest factor of 10413 is 10413.

4. How to Find the LCM of 10409 and 10413?

Answer:

Least Common Multiple of 10409 and 10413 = 108388917

Step 1: Find the prime factorization of 10409

10409 = 7 x 1487

Step 2: Find the prime factorization of 10413

10413 = 3 x 3 x 13 x 89

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

LCM = 108388917 = 3 x 3 x 7 x 13 x 89 x 1487

Step 4: Therefore, the least common multiple of 10409 and 10413 is 108388917.