Least Common Multiple of 321412 and 321417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321412 and 321417 the smallest integer that is 103307280804 that is divisible by both numbers.

Least Common Multiple (LCM) of 321412 and 321417 is 103307280804.

LCM(321412,321417) = 103307280804

LCM of 321412 and 321417

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

LCM of:
and

Least Common Multiple of 321412 and 321417

LCM of 321412 and 321417 is 103307280804

Least common multiple can be found by multiplying the highest exponent prime factors of 321412 and 321417. First we will calculate the prime factors of 321412 and 321417.

Prime Factorization of 321412


2 321412
2 160706
7 80353
13 11479
883 883
1

Prime factors of 321412 are 2, 7, 13,883. Prime factorization of 321412 in exponential form is:

321412 = 22×71×131×8831

Prime Factorization of 321417


3 321417
3 107139
71 35713
503 503
1

Prime factors of 321417 are 3, 71,503. Prime factorization of 321417 in exponential form is:

321417 = 32×711×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 321412 and 321417.

LCM(321412,321417) = 22×32×71×131×711×5031×8831
LCM(321412,321417) = 103307280804

Factors of 321412

List of positive integer factors of 321412 that divides 321412 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364, 883, 1766, 3532, 6181, 11479, 12362, 22958, 24724, 45916, 80353, 160706, 321412

Factors of 321417

List of positive integer factors of 321417 that divides 321417 without a remainder.

1, 3, 9, 71, 213, 503, 639, 1509, 4527, 35713, 107139, 321417

Least Common Multiple of 321412 and 321417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321412 and 321417, than apply into the LCM equation.

GCF(321412,321417) = 1
LCM(321412,321417) = ( 321412 × 321417) / 1
LCM(321412,321417) = 103307280804 / 1
LCM(321412,321417) = 103307280804

Properties of LCM 321412 and 321417

(i) The LCM of 321417 and 321412 is associative

LCM of 321412 and 321417 = LCM of 321417 and 321412

Related Least Common Multiples of 321412

Related Least Common Multiples of 321417

Frequently Asked Questions on LCM of 321412 and 321417

1. What is the LCM of 321412 and 321417?

Answer: LCM of 321412 and 321417 is 103307280804.

2. What are the Factors of 321412?

Answer: Factors of 321412 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364, 883, 1766, 3532, 6181, 11479, 12362, 22958, 24724, 45916, 80353, 160706, 321412. There are 24 integers that are factors of 321412. The greatest factor of 321412 is 321412.

3. What are the Factors of 321417?

Answer: Factors of 321417 are 1, 3, 9, 71, 213, 503, 639, 1509, 4527, 35713, 107139, 321417. There are 12 integers that are factors of 321417. The greatest factor of 321417 is 321417.

4. How to Find the LCM of 321412 and 321417?

Answer:

Least Common Multiple of 321412 and 321417 = 103307280804

Step 1: Find the prime factorization of 321412

321412 = 2 x 2 x 7 x 13 x 883

Step 2: Find the prime factorization of 321417

321417 = 3 x 3 x 71 x 503

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

LCM = 103307280804 = 2 x 2 x 3 x 3 x 7 x 13 x 71 x 503 x 883

Step 4: Therefore, the least common multiple of 321412 and 321417 is 103307280804.