Least Common Multiple of 321413 and 321414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321413 and 321414 the smallest integer that is 103306637982 that is divisible by both numbers.

Least Common Multiple (LCM) of 321413 and 321414 is 103306637982.

LCM(321413,321414) = 103306637982

LCM of 321413 and 321414

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

LCM of:
and

Least Common Multiple of 321413 and 321414

LCM of 321413 and 321414 is 103306637982

Least common multiple can be found by multiplying the highest exponent prime factors of 321413 and 321414. First we will calculate the prime factors of 321413 and 321414.

Prime Factorization of 321413


321413 321413
1

Prime factors of 321413 are 321413. Prime factorization of 321413 in exponential form is:

321413 = 3214131

Prime Factorization of 321414


2 321414
3 160707
53569 53569
1

Prime factors of 321414 are 2, 3,53569. Prime factorization of 321414 in exponential form is:

321414 = 21×31×535691

Now multiplying the highest exponent prime factors to calculate the LCM of 321413 and 321414.

LCM(321413,321414) = 21×31×535691×3214131
LCM(321413,321414) = 103306637982

Factors of 321413

List of positive integer factors of 321413 that divides 321413 without a remainder.

1, 321413

Factors of 321414

List of positive integer factors of 321414 that divides 321414 without a remainder.

1, 2, 3, 6, 53569, 107138, 160707, 321414

Least Common Multiple of 321413 and 321414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321413 and 321414, than apply into the LCM equation.

GCF(321413,321414) = 1
LCM(321413,321414) = ( 321413 × 321414) / 1
LCM(321413,321414) = 103306637982 / 1
LCM(321413,321414) = 103306637982

Properties of LCM 321413 and 321414

(i) The LCM of 321414 and 321413 is associative

LCM of 321413 and 321414 = LCM of 321414 and 321413

Related Least Common Multiples of 321413

Related Least Common Multiples of 321414

Frequently Asked Questions on LCM of 321413 and 321414

1. What is the LCM of 321413 and 321414?

Answer: LCM of 321413 and 321414 is 103306637982.

2. What are the Factors of 321413?

Answer: Factors of 321413 are 1, 321413. There are 2 integers that are factors of 321413. The greatest factor of 321413 is 321413.

3. What are the Factors of 321414?

Answer: Factors of 321414 are 1, 2, 3, 6, 53569, 107138, 160707, 321414. There are 8 integers that are factors of 321414. The greatest factor of 321414 is 321414.

4. How to Find the LCM of 321413 and 321414?

Answer:

Least Common Multiple of 321413 and 321414 = 103306637982

Step 1: Find the prime factorization of 321413

321413 = 321413

Step 2: Find the prime factorization of 321414

321414 = 2 x 3 x 53569

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

LCM = 103306637982 = 2 x 3 x 53569 x 321413

Step 4: Therefore, the least common multiple of 321413 and 321414 is 103306637982.