Least Common Multiple of 310408 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 310408 and 310413 the smallest integer that is 96354678504 that is divisible by both numbers.

Least Common Multiple (LCM) of 310408 and 310413 is 96354678504.

LCM(310408,310413) = 96354678504

LCM of 310408 and 310413

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

LCM of:
and

Least Common Multiple of 310408 and 310413

LCM of 310408 and 310413 is 96354678504

Least common multiple can be found by multiplying the highest exponent prime factors of 310408 and 310413. First we will calculate the prime factors of 310408 and 310413.

Prime Factorization of 310408


2 310408
2 155204
2 77602
7 38801
23 5543
241 241
1

Prime factors of 310408 are 2, 7, 23,241. Prime factorization of 310408 in exponential form is:

310408 = 23×71×231×2411

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 310408 and 310413.

LCM(310408,310413) = 23×31×71×231×2411×1034711
LCM(310408,310413) = 96354678504

Factors of 310408

List of positive integer factors of 310408 that divides 310408 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 241, 322, 482, 644, 964, 1288, 1687, 1928, 3374, 5543, 6748, 11086, 13496, 22172, 38801, 44344, 77602, 155204, 310408

Factors of 310413

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

1, 3, 103471, 310413

Least Common Multiple of 310408 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 310408 and 310413, than apply into the LCM equation.

GCF(310408,310413) = 1
LCM(310408,310413) = ( 310408 × 310413) / 1
LCM(310408,310413) = 96354678504 / 1
LCM(310408,310413) = 96354678504

Properties of LCM 310408 and 310413

(i) The LCM of 310413 and 310408 is associative

LCM of 310408 and 310413 = LCM of 310413 and 310408

Related Least Common Multiples of 310408

Related Least Common Multiples of 310413

Frequently Asked Questions on LCM of 310408 and 310413

1. What is the LCM of 310408 and 310413?

Answer: LCM of 310408 and 310413 is 96354678504.

2. What are the Factors of 310408?

Answer: Factors of 310408 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 241, 322, 482, 644, 964, 1288, 1687, 1928, 3374, 5543, 6748, 11086, 13496, 22172, 38801, 44344, 77602, 155204, 310408. There are 32 integers that are factors of 310408. The greatest factor of 310408 is 310408.

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 310408 and 310413?

Answer:

Least Common Multiple of 310408 and 310413 = 96354678504

Step 1: Find the prime factorization of 310408

310408 = 2 x 2 x 2 x 7 x 23 x 241

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 = 96354678504 = 2 x 2 x 2 x 3 x 7 x 23 x 241 x 103471

Step 4: Therefore, the least common multiple of 310408 and 310413 is 96354678504.