Least Common Multiple of 313412 and 313418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313412 and 313418 the smallest integer that is 49114481108 that is divisible by both numbers.

Least Common Multiple (LCM) of 313412 and 313418 is 49114481108.

LCM(313412,313418) = 49114481108

LCM of 313412 and 313418

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

LCM of:
and

Least Common Multiple of 313412 and 313418

LCM of 313412 and 313418 is 49114481108

Least common multiple can be found by multiplying the highest exponent prime factors of 313412 and 313418. First we will calculate the prime factors of 313412 and 313418.

Prime Factorization of 313412


2 313412
2 156706
11 78353
17 7123
419 419
1

Prime factors of 313412 are 2, 11, 17,419. Prime factorization of 313412 in exponential form is:

313412 = 22×111×171×4191

Prime Factorization of 313418


2 313418
7 156709
61 22387
367 367
1

Prime factors of 313418 are 2, 7, 61,367. Prime factorization of 313418 in exponential form is:

313418 = 21×71×611×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 313412 and 313418.

LCM(313412,313418) = 22×71×111×171×611×3671×4191
LCM(313412,313418) = 49114481108

Factors of 313412

List of positive integer factors of 313412 that divides 313412 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 419, 748, 838, 1676, 4609, 7123, 9218, 14246, 18436, 28492, 78353, 156706, 313412

Factors of 313418

List of positive integer factors of 313418 that divides 313418 without a remainder.

1, 2, 7, 14, 61, 122, 367, 427, 734, 854, 2569, 5138, 22387, 44774, 156709, 313418

Least Common Multiple of 313412 and 313418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313412 and 313418, than apply into the LCM equation.

GCF(313412,313418) = 2
LCM(313412,313418) = ( 313412 × 313418) / 2
LCM(313412,313418) = 98228962216 / 2
LCM(313412,313418) = 49114481108

Properties of LCM 313412 and 313418

(i) The LCM of 313418 and 313412 is associative

LCM of 313412 and 313418 = LCM of 313418 and 313412

Related Least Common Multiples of 313412

Related Least Common Multiples of 313418

Frequently Asked Questions on LCM of 313412 and 313418

1. What is the LCM of 313412 and 313418?

Answer: LCM of 313412 and 313418 is 49114481108.

2. What are the Factors of 313412?

Answer: Factors of 313412 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 419, 748, 838, 1676, 4609, 7123, 9218, 14246, 18436, 28492, 78353, 156706, 313412. There are 24 integers that are factors of 313412. The greatest factor of 313412 is 313412.

3. What are the Factors of 313418?

Answer: Factors of 313418 are 1, 2, 7, 14, 61, 122, 367, 427, 734, 854, 2569, 5138, 22387, 44774, 156709, 313418. There are 16 integers that are factors of 313418. The greatest factor of 313418 is 313418.

4. How to Find the LCM of 313412 and 313418?

Answer:

Least Common Multiple of 313412 and 313418 = 49114481108

Step 1: Find the prime factorization of 313412

313412 = 2 x 2 x 11 x 17 x 419

Step 2: Find the prime factorization of 313418

313418 = 2 x 7 x 61 x 367

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

LCM = 49114481108 = 2 x 2 x 7 x 11 x 17 x 61 x 367 x 419

Step 4: Therefore, the least common multiple of 313412 and 313418 is 49114481108.