Least Common Multiple of 10315 and 10322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10315 and 10322 the smallest integer that is 106471430 that is divisible by both numbers.

Least Common Multiple (LCM) of 10315 and 10322 is 106471430.

LCM(10315,10322) = 106471430

LCM of 10315 and 10322

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

LCM of:
and

Least Common Multiple of 10315 and 10322

LCM of 10315 and 10322 is 106471430

Least common multiple can be found by multiplying the highest exponent prime factors of 10315 and 10322. First we will calculate the prime factors of 10315 and 10322.

Prime Factorization of 10315


5 10315
2063 2063
1

Prime factors of 10315 are 5,2063. Prime factorization of 10315 in exponential form is:

10315 = 51×20631

Prime Factorization of 10322


2 10322
13 5161
397 397
1

Prime factors of 10322 are 2, 13,397. Prime factorization of 10322 in exponential form is:

10322 = 21×131×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 10315 and 10322.

LCM(10315,10322) = 21×51×131×3971×20631
LCM(10315,10322) = 106471430

Factors of 10315

List of positive integer factors of 10315 that divides 10315 without a remainder.

1, 5, 2063, 10315

Factors of 10322

List of positive integer factors of 10322 that divides 10322 without a remainder.

1, 2, 13, 26, 397, 794, 5161, 10322

Least Common Multiple of 10315 and 10322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10315 and 10322, than apply into the LCM equation.

GCF(10315,10322) = 1
LCM(10315,10322) = ( 10315 × 10322) / 1
LCM(10315,10322) = 106471430 / 1
LCM(10315,10322) = 106471430

Properties of LCM 10315 and 10322

(i) The LCM of 10322 and 10315 is associative

LCM of 10315 and 10322 = LCM of 10322 and 10315

Related Least Common Multiples of 10315

Related Least Common Multiples of 10322

Frequently Asked Questions on LCM of 10315 and 10322

1. What is the LCM of 10315 and 10322?

Answer: LCM of 10315 and 10322 is 106471430.

2. What are the Factors of 10315?

Answer: Factors of 10315 are 1, 5, 2063, 10315. There are 4 integers that are factors of 10315. The greatest factor of 10315 is 10315.

3. What are the Factors of 10322?

Answer: Factors of 10322 are 1, 2, 13, 26, 397, 794, 5161, 10322. There are 8 integers that are factors of 10322. The greatest factor of 10322 is 10322.

4. How to Find the LCM of 10315 and 10322?

Answer:

Least Common Multiple of 10315 and 10322 = 106471430

Step 1: Find the prime factorization of 10315

10315 = 5 x 2063

Step 2: Find the prime factorization of 10322

10322 = 2 x 13 x 397

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

LCM = 106471430 = 2 x 5 x 13 x 397 x 2063

Step 4: Therefore, the least common multiple of 10315 and 10322 is 106471430.