Least Common Multiple of 313412 and 313419

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 313419 the smallest integer that is 98229275628 that is divisible by both numbers.

Least Common Multiple (LCM) of 313412 and 313419 is 98229275628.

LCM(313412,313419) = 98229275628

LCM of 313412 and 313419

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

LCM of:
and

Least Common Multiple of 313412 and 313419

LCM of 313412 and 313419 is 98229275628

Least common multiple can be found by multiplying the highest exponent prime factors of 313412 and 313419. First we will calculate the prime factors of 313412 and 313419.

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 313419


3 313419
104473 104473
1

Prime factors of 313419 are 3,104473. Prime factorization of 313419 in exponential form is:

313419 = 31×1044731

Now multiplying the highest exponent prime factors to calculate the LCM of 313412 and 313419.

LCM(313412,313419) = 22×31×111×171×4191×1044731
LCM(313412,313419) = 98229275628

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 313419

List of positive integer factors of 313419 that divides 313419 without a remainder.

1, 3, 104473, 313419

Least Common Multiple of 313412 and 313419 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 313419, than apply into the LCM equation.

GCF(313412,313419) = 1
LCM(313412,313419) = ( 313412 × 313419) / 1
LCM(313412,313419) = 98229275628 / 1
LCM(313412,313419) = 98229275628

Properties of LCM 313412 and 313419

(i) The LCM of 313419 and 313412 is associative

LCM of 313412 and 313419 = LCM of 313419 and 313412

Related Least Common Multiples of 313412

Related Least Common Multiples of 313419

Frequently Asked Questions on LCM of 313412 and 313419

1. What is the LCM of 313412 and 313419?

Answer: LCM of 313412 and 313419 is 98229275628.

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 313419?

Answer: Factors of 313419 are 1, 3, 104473, 313419. There are 4 integers that are factors of 313419. The greatest factor of 313419 is 313419.

4. How to Find the LCM of 313412 and 313419?

Answer:

Least Common Multiple of 313412 and 313419 = 98229275628

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 313419

313419 = 3 x 104473

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

LCM = 98229275628 = 2 x 2 x 3 x 11 x 17 x 419 x 104473

Step 4: Therefore, the least common multiple of 313412 and 313419 is 98229275628.