Least Common Multiple of 321412 and 321418

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 321418 the smallest integer that is 51653801108 that is divisible by both numbers.

Least Common Multiple (LCM) of 321412 and 321418 is 51653801108.

LCM(321412,321418) = 51653801108

LCM of 321412 and 321418

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

LCM of:
and

Least Common Multiple of 321412 and 321418

LCM of 321412 and 321418 is 51653801108

Least common multiple can be found by multiplying the highest exponent prime factors of 321412 and 321418. First we will calculate the prime factors of 321412 and 321418.

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 321418


2 321418
160709 160709
1

Prime factors of 321418 are 2,160709. Prime factorization of 321418 in exponential form is:

321418 = 21×1607091

Now multiplying the highest exponent prime factors to calculate the LCM of 321412 and 321418.

LCM(321412,321418) = 22×71×131×8831×1607091
LCM(321412,321418) = 51653801108

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 321418

List of positive integer factors of 321418 that divides 321418 without a remainder.

1, 2, 160709, 321418

Least Common Multiple of 321412 and 321418 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 321418, than apply into the LCM equation.

GCF(321412,321418) = 2
LCM(321412,321418) = ( 321412 × 321418) / 2
LCM(321412,321418) = 103307602216 / 2
LCM(321412,321418) = 51653801108

Properties of LCM 321412 and 321418

(i) The LCM of 321418 and 321412 is associative

LCM of 321412 and 321418 = LCM of 321418 and 321412

Related Least Common Multiples of 321412

Related Least Common Multiples of 321418

Frequently Asked Questions on LCM of 321412 and 321418

1. What is the LCM of 321412 and 321418?

Answer: LCM of 321412 and 321418 is 51653801108.

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 321418?

Answer: Factors of 321418 are 1, 2, 160709, 321418. There are 4 integers that are factors of 321418. The greatest factor of 321418 is 321418.

4. How to Find the LCM of 321412 and 321418?

Answer:

Least Common Multiple of 321412 and 321418 = 51653801108

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 321418

321418 = 2 x 160709

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

LCM = 51653801108 = 2 x 2 x 7 x 13 x 883 x 160709

Step 4: Therefore, the least common multiple of 321412 and 321418 is 51653801108.