Least Common Multiple of 10413 and 10417

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 10417 the smallest integer that is 108472221 that is divisible by both numbers.

Least Common Multiple (LCM) of 10413 and 10417 is 108472221.

LCM(10413,10417) = 108472221

LCM of 10413 and 10417

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

LCM of:
and

Least Common Multiple of 10413 and 10417

LCM of 10413 and 10417 is 108472221

Least common multiple can be found by multiplying the highest exponent prime factors of 10413 and 10417. First we will calculate the prime factors of 10413 and 10417.

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 10417


11 10417
947 947
1

Prime factors of 10417 are 11,947. Prime factorization of 10417 in exponential form is:

10417 = 111×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 10413 and 10417.

LCM(10413,10417) = 32×111×131×891×9471
LCM(10413,10417) = 108472221

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 10417

List of positive integer factors of 10417 that divides 10417 without a remainder.

1, 11, 947, 10417

Least Common Multiple of 10413 and 10417 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 10417, than apply into the LCM equation.

GCF(10413,10417) = 1
LCM(10413,10417) = ( 10413 × 10417) / 1
LCM(10413,10417) = 108472221 / 1
LCM(10413,10417) = 108472221

Properties of LCM 10413 and 10417

(i) The LCM of 10417 and 10413 is associative

LCM of 10413 and 10417 = LCM of 10417 and 10413

Related Least Common Multiples of 10413

Related Least Common Multiples of 10417

Frequently Asked Questions on LCM of 10413 and 10417

1. What is the LCM of 10413 and 10417?

Answer: LCM of 10413 and 10417 is 108472221.

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 10417?

Answer: Factors of 10417 are 1, 11, 947, 10417. There are 4 integers that are factors of 10417. The greatest factor of 10417 is 10417.

4. How to Find the LCM of 10413 and 10417?

Answer:

Least Common Multiple of 10413 and 10417 = 108472221

Step 1: Find the prime factorization of 10413

10413 = 3 x 3 x 13 x 89

Step 2: Find the prime factorization of 10417

10417 = 11 x 947

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

LCM = 108472221 = 3 x 3 x 11 x 13 x 89 x 947

Step 4: Therefore, the least common multiple of 10413 and 10417 is 108472221.