Least Common Multiple of 10409 and 10414

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 10414 the smallest integer that is 108399326 that is divisible by both numbers.

Least Common Multiple (LCM) of 10409 and 10414 is 108399326.

LCM(10409,10414) = 108399326

LCM of 10409 and 10414

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

LCM of:
and

Least Common Multiple of 10409 and 10414

LCM of 10409 and 10414 is 108399326

Least common multiple can be found by multiplying the highest exponent prime factors of 10409 and 10414. First we will calculate the prime factors of 10409 and 10414.

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 10414


2 10414
41 5207
127 127
1

Prime factors of 10414 are 2, 41,127. Prime factorization of 10414 in exponential form is:

10414 = 21×411×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10409 and 10414.

LCM(10409,10414) = 21×71×411×1271×14871
LCM(10409,10414) = 108399326

Factors of 10409

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

1, 7, 1487, 10409

Factors of 10414

List of positive integer factors of 10414 that divides 10414 without a remainder.

1, 2, 41, 82, 127, 254, 5207, 10414

Least Common Multiple of 10409 and 10414 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 10414, than apply into the LCM equation.

GCF(10409,10414) = 1
LCM(10409,10414) = ( 10409 × 10414) / 1
LCM(10409,10414) = 108399326 / 1
LCM(10409,10414) = 108399326

Properties of LCM 10409 and 10414

(i) The LCM of 10414 and 10409 is associative

LCM of 10409 and 10414 = LCM of 10414 and 10409

Related Least Common Multiples of 10409

Related Least Common Multiples of 10414

Frequently Asked Questions on LCM of 10409 and 10414

1. What is the LCM of 10409 and 10414?

Answer: LCM of 10409 and 10414 is 108399326.

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 10414?

Answer: Factors of 10414 are 1, 2, 41, 82, 127, 254, 5207, 10414. There are 8 integers that are factors of 10414. The greatest factor of 10414 is 10414.

4. How to Find the LCM of 10409 and 10414?

Answer:

Least Common Multiple of 10409 and 10414 = 108399326

Step 1: Find the prime factorization of 10409

10409 = 7 x 1487

Step 2: Find the prime factorization of 10414

10414 = 2 x 41 x 127

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

LCM = 108399326 = 2 x 7 x 41 x 127 x 1487

Step 4: Therefore, the least common multiple of 10409 and 10414 is 108399326.