Least Common Multiple of 10413 and 10418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10413 and 10418 the smallest integer that is 108482634 that is divisible by both numbers.

Least Common Multiple (LCM) of 10413 and 10418 is 108482634.

LCM(10413,10418) = 108482634

LCM of 10413 and 10418

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

LCM of:
and

Least Common Multiple of 10413 and 10418

LCM of 10413 and 10418 is 108482634

Least common multiple can be found by multiplying the highest exponent prime factors of 10413 and 10418. First we will calculate the prime factors of 10413 and 10418.

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

Prime Factorization of 10418


2 10418
5209 5209
1

Prime factors of 10418 are 2,5209. Prime factorization of 10418 in exponential form is:

10418 = 21×52091

Now multiplying the highest exponent prime factors to calculate the LCM of 10413 and 10418.

LCM(10413,10418) = 21×32×131×891×52091
LCM(10413,10418) = 108482634

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

Factors of 10418

List of positive integer factors of 10418 that divides 10418 without a remainder.

1, 2, 5209, 10418

Least Common Multiple of 10413 and 10418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10413 and 10418, than apply into the LCM equation.

GCF(10413,10418) = 1
LCM(10413,10418) = ( 10413 × 10418) / 1
LCM(10413,10418) = 108482634 / 1
LCM(10413,10418) = 108482634

Properties of LCM 10413 and 10418

(i) The LCM of 10418 and 10413 is associative

LCM of 10413 and 10418 = LCM of 10418 and 10413

Related Least Common Multiples of 10413

Related Least Common Multiples of 10418

Frequently Asked Questions on LCM of 10413 and 10418

1. What is the LCM of 10413 and 10418?

Answer: LCM of 10413 and 10418 is 108482634.

2. 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.

3. What are the Factors of 10418?

Answer: Factors of 10418 are 1, 2, 5209, 10418. There are 4 integers that are factors of 10418. The greatest factor of 10418 is 10418.

4. How to Find the LCM of 10413 and 10418?

Answer:

Least Common Multiple of 10413 and 10418 = 108482634

Step 1: Find the prime factorization of 10413

10413 = 3 x 3 x 13 x 89

Step 2: Find the prime factorization of 10418

10418 = 2 x 5209

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

LCM = 108482634 = 2 x 3 x 3 x 13 x 89 x 5209

Step 4: Therefore, the least common multiple of 10413 and 10418 is 108482634.