Least Common Multiple of 313430 and 313434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313430 and 313434 the smallest integer that is 49119809310 that is divisible by both numbers.

Least Common Multiple (LCM) of 313430 and 313434 is 49119809310.

LCM(313430,313434) = 49119809310

LCM of 313430 and 313434

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

LCM of:
and

Least Common Multiple of 313430 and 313434

LCM of 313430 and 313434 is 49119809310

Least common multiple can be found by multiplying the highest exponent prime factors of 313430 and 313434. First we will calculate the prime factors of 313430 and 313434.

Prime Factorization of 313430


2 313430
5 156715
13 31343
2411 2411
1

Prime factors of 313430 are 2, 5, 13,2411. Prime factorization of 313430 in exponential form is:

313430 = 21×51×131×24111

Prime Factorization of 313434


2 313434
3 156717
3 52239
11 17413
1583 1583
1

Prime factors of 313434 are 2, 3, 11,1583. Prime factorization of 313434 in exponential form is:

313434 = 21×32×111×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 313430 and 313434.

LCM(313430,313434) = 21×32×51×111×131×15831×24111
LCM(313430,313434) = 49119809310

Factors of 313430

List of positive integer factors of 313430 that divides 313430 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 2411, 4822, 12055, 24110, 31343, 62686, 156715, 313430

Factors of 313434

List of positive integer factors of 313434 that divides 313434 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434

Least Common Multiple of 313430 and 313434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313430 and 313434, than apply into the LCM equation.

GCF(313430,313434) = 2
LCM(313430,313434) = ( 313430 × 313434) / 2
LCM(313430,313434) = 98239618620 / 2
LCM(313430,313434) = 49119809310

Properties of LCM 313430 and 313434

(i) The LCM of 313434 and 313430 is associative

LCM of 313430 and 313434 = LCM of 313434 and 313430

Related Least Common Multiples of 313430

Related Least Common Multiples of 313434

Frequently Asked Questions on LCM of 313430 and 313434

1. What is the LCM of 313430 and 313434?

Answer: LCM of 313430 and 313434 is 49119809310.

2. What are the Factors of 313430?

Answer: Factors of 313430 are 1, 2, 5, 10, 13, 26, 65, 130, 2411, 4822, 12055, 24110, 31343, 62686, 156715, 313430. There are 16 integers that are factors of 313430. The greatest factor of 313430 is 313430.

3. What are the Factors of 313434?

Answer: Factors of 313434 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434. There are 24 integers that are factors of 313434. The greatest factor of 313434 is 313434.

4. How to Find the LCM of 313430 and 313434?

Answer:

Least Common Multiple of 313430 and 313434 = 49119809310

Step 1: Find the prime factorization of 313430

313430 = 2 x 5 x 13 x 2411

Step 2: Find the prime factorization of 313434

313434 = 2 x 3 x 3 x 11 x 1583

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

LCM = 49119809310 = 2 x 3 x 3 x 5 x 11 x 13 x 1583 x 2411

Step 4: Therefore, the least common multiple of 313430 and 313434 is 49119809310.