Least Common Multiple of 310406 and 310413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310406 and 310413 the smallest integer that is 96354057678 that is divisible by both numbers.

Least Common Multiple (LCM) of 310406 and 310413 is 96354057678.

LCM(310406,310413) = 96354057678

LCM of 310406 and 310413

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

LCM of:
and

Least Common Multiple of 310406 and 310413

LCM of 310406 and 310413 is 96354057678

Least common multiple can be found by multiplying the highest exponent prime factors of 310406 and 310413. First we will calculate the prime factors of 310406 and 310413.

Prime Factorization of 310406


2 310406
155203 155203
1

Prime factors of 310406 are 2,155203. Prime factorization of 310406 in exponential form is:

310406 = 21×1552031

Prime Factorization of 310413


3 310413
103471 103471
1

Prime factors of 310413 are 3,103471. Prime factorization of 310413 in exponential form is:

310413 = 31×1034711

Now multiplying the highest exponent prime factors to calculate the LCM of 310406 and 310413.

LCM(310406,310413) = 21×31×1034711×1552031
LCM(310406,310413) = 96354057678

Factors of 310406

List of positive integer factors of 310406 that divides 310406 without a remainder.

1, 2, 155203, 310406

Factors of 310413

List of positive integer factors of 310413 that divides 310413 without a remainder.

1, 3, 103471, 310413

Least Common Multiple of 310406 and 310413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310406 and 310413, than apply into the LCM equation.

GCF(310406,310413) = 1
LCM(310406,310413) = ( 310406 × 310413) / 1
LCM(310406,310413) = 96354057678 / 1
LCM(310406,310413) = 96354057678

Properties of LCM 310406 and 310413

(i) The LCM of 310413 and 310406 is associative

LCM of 310406 and 310413 = LCM of 310413 and 310406

Related Least Common Multiples of 310406

Related Least Common Multiples of 310413

Frequently Asked Questions on LCM of 310406 and 310413

1. What is the LCM of 310406 and 310413?

Answer: LCM of 310406 and 310413 is 96354057678.

2. What are the Factors of 310406?

Answer: Factors of 310406 are 1, 2, 155203, 310406. There are 4 integers that are factors of 310406. The greatest factor of 310406 is 310406.

3. What are the Factors of 310413?

Answer: Factors of 310413 are 1, 3, 103471, 310413. There are 4 integers that are factors of 310413. The greatest factor of 310413 is 310413.

4. How to Find the LCM of 310406 and 310413?

Answer:

Least Common Multiple of 310406 and 310413 = 96354057678

Step 1: Find the prime factorization of 310406

310406 = 2 x 155203

Step 2: Find the prime factorization of 310413

310413 = 3 x 103471

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

LCM = 96354057678 = 2 x 3 x 103471 x 155203

Step 4: Therefore, the least common multiple of 310406 and 310413 is 96354057678.