Least Common Multiple of 313406 and 313412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313406 and 313412 the smallest integer that is 49112600636 that is divisible by both numbers.

Least Common Multiple (LCM) of 313406 and 313412 is 49112600636.

LCM(313406,313412) = 49112600636

LCM of 313406 and 313412

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

LCM of:
and

Least Common Multiple of 313406 and 313412

LCM of 313406 and 313412 is 49112600636

Least common multiple can be found by multiplying the highest exponent prime factors of 313406 and 313412. First we will calculate the prime factors of 313406 and 313412.

Prime Factorization of 313406


2 313406
156703 156703
1

Prime factors of 313406 are 2,156703. Prime factorization of 313406 in exponential form is:

313406 = 21×1567031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 313406 and 313412.

LCM(313406,313412) = 22×111×171×4191×1567031
LCM(313406,313412) = 49112600636

Factors of 313406

List of positive integer factors of 313406 that divides 313406 without a remainder.

1, 2, 156703, 313406

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

Least Common Multiple of 313406 and 313412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313406 and 313412, than apply into the LCM equation.

GCF(313406,313412) = 2
LCM(313406,313412) = ( 313406 × 313412) / 2
LCM(313406,313412) = 98225201272 / 2
LCM(313406,313412) = 49112600636

Properties of LCM 313406 and 313412

(i) The LCM of 313412 and 313406 is associative

LCM of 313406 and 313412 = LCM of 313412 and 313406

Related Least Common Multiples of 313406

Related Least Common Multiples of 313412

Frequently Asked Questions on LCM of 313406 and 313412

1. What is the LCM of 313406 and 313412?

Answer: LCM of 313406 and 313412 is 49112600636.

2. What are the Factors of 313406?

Answer: Factors of 313406 are 1, 2, 156703, 313406. There are 4 integers that are factors of 313406. The greatest factor of 313406 is 313406.

3. 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.

4. How to Find the LCM of 313406 and 313412?

Answer:

Least Common Multiple of 313406 and 313412 = 49112600636

Step 1: Find the prime factorization of 313406

313406 = 2 x 156703

Step 2: Find the prime factorization of 313412

313412 = 2 x 2 x 11 x 17 x 419

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

LCM = 49112600636 = 2 x 2 x 11 x 17 x 419 x 156703

Step 4: Therefore, the least common multiple of 313406 and 313412 is 49112600636.