Least Common Multiple of 310404 and 310408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310404 and 310408 the smallest integer that is 24087971208 that is divisible by both numbers.

Least Common Multiple (LCM) of 310404 and 310408 is 24087971208.

LCM(310404,310408) = 24087971208

LCM of 310404 and 310408

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

LCM of:
and

Least Common Multiple of 310404 and 310408

LCM of 310404 and 310408 is 24087971208

Least common multiple can be found by multiplying the highest exponent prime factors of 310404 and 310408. First we will calculate the prime factors of 310404 and 310408.

Prime Factorization of 310404


2 310404
2 155202
3 77601
25867 25867
1

Prime factors of 310404 are 2, 3,25867. Prime factorization of 310404 in exponential form is:

310404 = 22×31×258671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 310404 and 310408.

LCM(310404,310408) = 23×31×71×231×2411×258671
LCM(310404,310408) = 24087971208

Factors of 310404

List of positive integer factors of 310404 that divides 310404 without a remainder.

1, 2, 3, 4, 6, 12, 25867, 51734, 77601, 103468, 155202, 310404

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

Least Common Multiple of 310404 and 310408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310404 and 310408, than apply into the LCM equation.

GCF(310404,310408) = 4
LCM(310404,310408) = ( 310404 × 310408) / 4
LCM(310404,310408) = 96351884832 / 4
LCM(310404,310408) = 24087971208

Properties of LCM 310404 and 310408

(i) The LCM of 310408 and 310404 is associative

LCM of 310404 and 310408 = LCM of 310408 and 310404

Related Least Common Multiples of 310404

Related Least Common Multiples of 310408

Frequently Asked Questions on LCM of 310404 and 310408

1. What is the LCM of 310404 and 310408?

Answer: LCM of 310404 and 310408 is 24087971208.

2. What are the Factors of 310404?

Answer: Factors of 310404 are 1, 2, 3, 4, 6, 12, 25867, 51734, 77601, 103468, 155202, 310404. There are 12 integers that are factors of 310404. The greatest factor of 310404 is 310404.

3. 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.

4. How to Find the LCM of 310404 and 310408?

Answer:

Least Common Multiple of 310404 and 310408 = 24087971208

Step 1: Find the prime factorization of 310404

310404 = 2 x 2 x 3 x 25867

Step 2: Find the prime factorization of 310408

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

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

LCM = 24087971208 = 2 x 2 x 2 x 3 x 7 x 23 x 241 x 25867

Step 4: Therefore, the least common multiple of 310404 and 310408 is 24087971208.