Least Common Multiple of 316413 and 316415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316413 and 316415 the smallest integer that is 100117819395 that is divisible by both numbers.

Least Common Multiple (LCM) of 316413 and 316415 is 100117819395.

LCM(316413,316415) = 100117819395

LCM of 316413 and 316415

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

LCM of:
and

Least Common Multiple of 316413 and 316415

LCM of 316413 and 316415 is 100117819395

Least common multiple can be found by multiplying the highest exponent prime factors of 316413 and 316415. First we will calculate the prime factors of 316413 and 316415.

Prime Factorization of 316413


3 316413
3 105471
3 35157
11719 11719
1

Prime factors of 316413 are 3,11719. Prime factorization of 316413 in exponential form is:

316413 = 33×117191

Prime Factorization of 316415


5 316415
11 63283
11 5753
523 523
1

Prime factors of 316415 are 5, 11,523. Prime factorization of 316415 in exponential form is:

316415 = 51×112×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 316413 and 316415.

LCM(316413,316415) = 33×51×112×5231×117191
LCM(316413,316415) = 100117819395

Factors of 316413

List of positive integer factors of 316413 that divides 316413 without a remainder.

1, 3, 9, 27, 11719, 35157, 105471, 316413

Factors of 316415

List of positive integer factors of 316415 that divides 316415 without a remainder.

1, 5, 11, 55, 121, 523, 605, 2615, 5753, 28765, 63283, 316415

Least Common Multiple of 316413 and 316415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316413 and 316415, than apply into the LCM equation.

GCF(316413,316415) = 1
LCM(316413,316415) = ( 316413 × 316415) / 1
LCM(316413,316415) = 100117819395 / 1
LCM(316413,316415) = 100117819395

Properties of LCM 316413 and 316415

(i) The LCM of 316415 and 316413 is associative

LCM of 316413 and 316415 = LCM of 316415 and 316413

Related Least Common Multiples of 316413

Related Least Common Multiples of 316415

Frequently Asked Questions on LCM of 316413 and 316415

1. What is the LCM of 316413 and 316415?

Answer: LCM of 316413 and 316415 is 100117819395.

2. What are the Factors of 316413?

Answer: Factors of 316413 are 1, 3, 9, 27, 11719, 35157, 105471, 316413. There are 8 integers that are factors of 316413. The greatest factor of 316413 is 316413.

3. What are the Factors of 316415?

Answer: Factors of 316415 are 1, 5, 11, 55, 121, 523, 605, 2615, 5753, 28765, 63283, 316415. There are 12 integers that are factors of 316415. The greatest factor of 316415 is 316415.

4. How to Find the LCM of 316413 and 316415?

Answer:

Least Common Multiple of 316413 and 316415 = 100117819395

Step 1: Find the prime factorization of 316413

316413 = 3 x 3 x 3 x 11719

Step 2: Find the prime factorization of 316415

316415 = 5 x 11 x 11 x 523

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

LCM = 100117819395 = 3 x 3 x 3 x 5 x 11 x 11 x 523 x 11719

Step 4: Therefore, the least common multiple of 316413 and 316415 is 100117819395.